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2024
- Bridging scales: A hybrid model to simulate vascular tumor growth and treatment response. Computer Methods in Applied Mechanics and Engineering 418, 2024, 116566 more…
- Numerical simulation of endovascular treatment options for cerebral aneurysms. 2024 more…
- Analysis of a Dilute Polymer Model with a Time-Fractional Derivative. SIAM Journal on Mathematical Analysis 56 (2), 2024, 2063-2089 more…
- A Comprehensive Numerical Approach to Coil Placement in Cerebral Aneurysms: Mathematical Modeling and In Silico Occlusion Classification. 2024 more…
- Numerical simulation of individual coil placement -- A proof-of-concept study for the prediction of recurrence after aneurysm coiling. 2024 more…
2023
- Adaptive sampling strategies for risk-averse stochastic optimization with constraints. IMA Journal of Numerical Analysis, 2023 more…
- On the Convergence of Learning Algorithms in Bayesian Auction Games. 2023 more…
- A Matrix-Free ILU Realization Based on Surrogates. SIAM Journal on Scientific Computing 45 (6), 2023, C304-C329 more…
- Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy. Advances in Nonlinear Analysis 12 (1), 2023, 20220262 more…
- Analysis of a dilute polymer model with a time-fractional derivative. 2023 more…
- Directional flow in perivascular networks: Mixed finite elements for reduced-dimensional models on graphs. 2023 more…
- Breaking Blood Flow with Wires in Aneurysm Coiling Treatment Simulations. SIAM News, 2023 more…
- Solving time-fractional differential equations via rational approximation. IMA Journal of Numerical Analysis 43 (3), 2023, 1263--1290 more…
- A discontinuous Galerkin coupling for nonlinear elasto-acoustics. IMA Journal of Numerical Analysis 43 (1), 2023, 225--257 more…
- Multiscale Coupled Models for Complex Media: From Analysis to Simulation in Geophysics and Medicine. Oberwolfach Reports 19 (1), 2023, 171--229 more…
- Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type. Mathematics 11 (10), 2023, 2312 more…
- A phase-field model for non-small cell lung cancer under the effects of immunotherapy. Mathematical Biosciences and Engineering 20 (10), 2023, 18670-18694 more…
2022
- Hybrid Discretizations in Solid Mechanics for Non-linear and Non-smooth Problems. In: Non-standard Discretisation Methods in Solid Mechanics. Springer International Publishing, 2022, 1--35 more…
- Block low-rank single precision coarse grid solvers for extreme scale multigrid methods. Numerical Linear Algebra with Applications 29 (1), 2022, e2407 more…
- A 1D–0D–3D coupled model for simulating blood flow and transport processes in breast tissue. International Journal for Numerical Methods in Biomedical Engineering 38 (7), 2022, e3612 more…
- Time-fractional Cahn--Hilliard equation: Well-posedness, degeneracy, and numerical solutions. Computers $&$ Mathematics with Applications 108, 2022, 66--87 more…
- Drought Conditions Enhance Groundwater Table Fluctuations Caused by Hydropower Plant Management. Water Resources Research 58 (10), 2022 more…
- Frontiers in Mortar Methods for Isogeometric Analysis. In: Non-standard Discretisation Methods in Solid Mechanics. Springer International Publishing, 2022, 405--447 more…
- Determining kernels in linear viscoelasticity. Journal of Computational Physics 464, 2022, 111331 more…
- Statistically equivalent surrogate material models: Impact of random imperfections on the elasto-plastic response. Computer Methods in Applied Mechanics and Engineering 402, 2022, 115278 more…
- Risk-averse design of tall buildings for uncertain wind conditions. Computer Methods in Applied Mechanics and Engineering 402, 2022, 115371, 26 more…
- Elasto-acoustic modeling and simulation for the seismic response of structures: The case of the Tahtalı dam in the 2020 İzmir earthquake. Journal of Computational Physics 466, 2022, 111411 more…
- Numerical modeling of gas hydrate recycling in complex media: Implications for gas migration through strongly anisotropic layers. Earth and Space Science Open Archive, 2022, 1--37 more…
- Impacts of Peak-Flow Events on Hyporheic Denitrification Potential. Water Resources Research 58 (3), 2022 more…
2021
- Resiliency in numerical algorithm design for extreme scale simulations. The International Journal of High Performance Computing Applications 36 (2), 2021, 251--285 more…
- Alpine Permafrost Modeling: On the influence of topography driven lateral fluxes. to appear in Advances in Water Resources, 2021 more…
- Temporal Scale-Dependent Sensitivity Analysis for Hydrological Model Parameters Using the Discrete Wavelet Transform and Active Subspaces. Water Resources Research 57 (10), 2021, e2020WR028511 more…
- Semi matrix-free twogrid shifted Laplacian preconditioner for the Helmholtz equation with near optimal shifts. 2021 more…
- Modeling and simulation of vascular tumors embedded in evolving capillary networks. Computer Methods in Applied Mechanics and Engineering 384, 2021, 113975 more…
- Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network. Nonlinear Analysis: Real World Applications 61, 2021, 103331 more…
- On a subdiffusive tumour growth model with fractional time derivative. IMA Journal of Applied Mathematics 86 (4), 2021, 688--729 more…
- Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer. Physics of Fluids 33 (9), 2021, 095110 more…
- A fractional PDE model for turbulent velocity fields near solid walls. Journal of Fluid Mechanics 916, 2021, A21, 30 more…
- Multidimensional coupling: A variationally consistent approach to fiber-reinforced materials. Computer Methods in Applied Mechanics and Engineering 382, 2021, 113869, 24 more…
- Scalable Dynamic Asynchronous Monte Carlo Framework Applied to Wind Engineering Problems. Advances in Uncertainty Quantification and Optimization Under Uncertainty with Aerospace Applications (Space Technology Proceedings 8), Springer, Cham, 2021 more…
2020
- A high-order discontinuous Galerkin method for nonlinear sound waves. Journal of Computational Physics 415, 2020, 109484 more…
- TerraNeo—Mantle Convection Beyond a Trillion Degrees of Freedom. Software for Exascale Computing - SPPEXA 2016-2019, Springer International Publishing, 2020 more…
- Finite volume discretization for poroelastic media with fractures modeled by contact mechanics. International Journal for Numerical Methods in Engineering 121 (4), 2020, 644--663 more…
- Identifying relevant hydrological and catchment properties in active subspaces: An inference study of a lumped karst aquifer model. Advances in Water Resources 135, 2020, 103472 more…
- Crosspoint modification for multi-patch isogeometric analysis. Computer Methods in Applied Mechanics and Engineering 360, 2020, 112768 more…
- The surrogate matrix methodology: Low-cost assembly for isogeometric analysis. Computer Methods in Applied Mechanics and Engineering 361, 2020, 112776, 32 more…
- The surrogate matrix methodology: Accelerating isogeometric analysis of waves. Computer Methods in Applied Mechanics and Engineering 372, 2020, 113322, 23 more…
- Stencil Scaling for Vector-Valued PDEs on Hybrid Grids With Applications to Generalized Newtonian Fluids. SIAM Journal on Scientific Computing 42 (6), 2020, B1429--B1461 more…
- An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models. Energies 13 (2), 2020, 503 more…
- A Statistical Framework for Generating Microstructures of Two-Phase Random Materials: Application to Fatigue Analysis. Multiscale Modeling & Simulation 18 (1), 2020, 21--43 more…
- A 3D-1D coupled blood flow and oxygen transport model to generate microvascular networks. International Journal for Numerical Methods in Biomedical Engineering 36 (10), 2020, e3386 more…
- Sharp algebraic and total a posteriori error bounds for $h$ and $p$ finite elements via a multilevel approach. Recovering mass balance in any situation. Computer Methods in Applied Mechanics and Engineering 371, 2020, 113243 more…
- Generalized bounds for active subspaces. Electronic Journal of Statistics 14 (1), 2020, 917--943 more…
2019
- Large-scale simulation of mantle convection based on a new matrix-free approach. Journal of Computational Science 31, 2019, 60--76 more…
- Complexity reduction for calibration to American options. Journal of Computational Finance 23 (1), 2019, 25--60 more…
- Weak $C^n$ coupling for multipatch isogeometric analysis in solid mechanics. International Journal for Numerical Methods in Engineering 118 (11), 2019, 678--699 more…
- The Surrogate Matrix Methodology: A Priori Error Estimation. SIAM Journal on Scientific Computing 41 (6), 2019, A3806--A3838 more…
- Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation. Mathematical Models and Methods in Applied Sciences 29 (13), 2019, 2433--2468 more…
- On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models. Mathematical Models and Methods in Applied Sciences 29 (09), 2019, 1691--1731 more…
- Reactive Flows in Deformable, Complex Media. Oberwolfach Reports 15 (3), 2019, 2385--2473 more…
- Splitting method for elliptic equations with line sources. ESAIM: Mathematical Modelling and Numerical Analysis 53 (5), 2019, 1715--1739 more…
- A hybrid isogeometric approach on multi-patches with applications to Kirchhoff plates and eigenvalue problems. Computer Methods in Applied Mechanics and Engineering 348, 2019, 396--408 more…
- Adaptive control in roll-forward recovery for extreme scale multigrid. The International Journal of High Performance Computing Applications 33 (5), 2019, 817--837 more…
- Analysis of Boundary Effects on PDE-Based Sampling of Whittle--Matérn Random Fields. SIAM/ASA Journal on Uncertainty Quantification 7 (3), 2019, 948--974 more…
- Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation. Journal of Computational Physics 388, 2019, 279--299 more…
- Isogeometric shape optimization for nonlinear ultrasound focusing. Evolution Equations & Control Theory 8 (1), 2019, 163--202 more…
- A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation. SIAM Journal on Numerical Analysis 57 (4), 2019, 1897--1918 more…
- A mortar formulation including viscoelastic layers for vibration analysis. Computational Mechanics 63 (1), 2019, 23--33 more…
- Goal-oriented adaptive modeling of random heterogeneous media and model-based multilevel Monte Carlo methods. Computers & Mathematics with Applications 78 (8), 2019, 2700--2718 more…
- Multi-patch isogeometric analysis for Kirchhoff--Love shell elements. Computer Methods in Applied Mechanics and Engineering 349, 2019, 91--116 more…
- Energy-corrected FEM and explicit time-stepping for parabolic problems. ESAIM: Mathematical Modelling and Numerical Analysis 53 (6), 2019, 1893--1914 more…
- Maximum Norm Estimates for Energy-Corrected Finite Element Method. European Conference on Numerical Mathematics and Advanced Applications, Springer International Publishing, 2019 more…
- Efficient parameter estimation for a methane hydrate model with active subspaces. Computational Geosciences 23 (2), 2019, 355--372 more…
- Bayesian Calibration and Sensitivity Analysis for a Karst Aquifer Model Using Active Subspaces. Water Resources Research 55 (8), 2019, 7086--7107 more…
- Hybrid Models for Simulating Blood Flow in Microvascular Networks. Multiscale Modeling & Simulation 17 (3), 2019, 1076--1102 more…
- Biorthogonal splines for optimal weak patch-coupling in isogeometric analysis with applications to finite deformation elasticity. Computer Methods in Applied Mechanics and Engineering 346, 2019, 197--215 more…
2018
- Recent Advances in Computational Engineering. . (Lecture Notes in Computational Science and Engineering 124) Springer Cham, 2018 more…
- A Stencil Scaling Approach for Accelerating Matrix-Free Finite Element Implementations. SIAM Journal on Scientific Computing 40 (6), 2018, C748--C778 more…
- A New Matrix-Free Approach for Large-Scale Geodynamic Simulations and its Performance. International Conference on Computational Science, Springer International Publishing, 2018 more…
- Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics. Computational Mechanics 62 (6), 2018, 1413--1427 more…
- Calibration to American options: numerical investigation of the de-Americanization method. Quantitative Finance 18 (7), 2018, 1091--1113 more…
- On the Analysis of Block Smoothers for Saddle Point Problems. SIAM Journal on Matrix Analysis and Applications 39 (2), 2018, 932--960 more…
- Well-posedness and numerical treatment of the Blackstock equation in nonlinear acoustics. Mathematical Models and Methods in Applied Sciences 28 (13), 2018, 2557--2597 more…
- Surface Couplings for Subdomain-Wise Isoviscous Gradient Based Stokes Finite Element Discretizations. Journal of Scientific Computing 74 (2), 2018, 895--919 more…
- Energy corrected FEM for optimal Dirichlet boundary control problems. Numerische Mathematik 139 (4), 2018, 913--938 more…
- Mathematical modeling, analysis and numerical approximation of second-order elliptic problems with inclusions. Mathematical Models and Methods in Applied Sciences 28 (05), 2018, 953--978 more…
- Calibration of Multi-Parameter Models of Avascular Tumor Growth Using Time Resolved Microscopy Data. Scientific Reports 8 (1), 2018, 14558 more…
- A mixed variational formulation for a class of contact problems in viscoelasticity. Applicable Analysis 97 (8), 2018, 1340--1356 more…
- Goal-oriented adaptive surrogate construction for stochastic inversion. Computer Methods in Applied Mechanics and Engineering 339, 2018, 36--60 more…
- BIM gestützte strukturdynamische Analyse mit Volumenelementen höherer Ordnung. Bauingenieur 93 (4), 2018, 160--166 more…
- Research and Education in Computational Science and Engineering. SIAM Review 60 (3), 2018, 707--754 more…
- Streamline method for resolving sharp fronts for complex two-phase flow in porous media. Computational Geosciences 22 (6), 2018, 1487--1502 more…
2017
- A two-scale approach for efficient on-the-fly operator assembly in massively parallel high performance multigrid codes. Applied Numerical Mathematics 122, 2017, 14--38 more…
- Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods. SIAM Journal on Scientific Computing 39 (5), 2017, S873--S897 more…
- Cell differentiation defines acute and chronic infection cell types in Staphylococcus aureus. eLife 6, 2017, e28023 more…
- Testing a thermo-chemo-hydro-geomechanical model for gas hydrate-bearing sediments using triaxial compression laboratory experiments. Geochemistry, Geophysics, Geosystems 18 (9), 2017, 3419--3437 more…
- Reduced Basis Isogeometric Mortar Approximations for Eigenvalue Problems in Vibroacoustics. In: Model Reduction of Parametrized Systems. Springer International Publishing, 2017, 91--106 more…
- Higher order energy-corrected finite element methods. arXiv, 2017, more…
- Simultaneous reduced basis approximation of parameterized elliptic eigenvalue problems. ESAIM: Mathematical Modelling and Numerical Analysis 51 (2), 2017, 443--465 more…
- Energy-corrected finite element methods for the Stokes system. IMA Journal of Numerical Analysis 37 (2), 2017, 687--729 more…
- Selection and validation of predictive models of radiation effects on tumor growth based on noninvasive imaging data. Computer Methods in Applied Mechanics and Engineering 327, 2017, 277--305 more…
- Simultaneous quasi-optimal convergence rates in FEM-BEM coupling. Mathematical Methods in the Applied Sciences 40 (2), 2017, 463--485 more…
2016
- Hybrid Parallel Multigrid Methods for Geodynamical Simulations. In: Software for Exascale Computing-SPPEXA 2013-2015. Springer International Publishing, 2016, 211--235 more…
- Numerical modeling of compensation mechanisms for peripheral arterial stenoses. Computers in Biology and Medicine 70, 2016, 190--201 more…
- Large Scale Lattice Boltzmann Simulation for the Coupling of Free and Porous Media Flow. High Performance Computing in Science and Engineering: Second International Conference, HPCSE 2015, Soláň, Czech Republic, May 25-28, 2015, Revised Selected Papers, Springer International Publishing, 2016 more…
- Lattice Boltzmann methods in porous media simulations: From laminar to turbulent flow. Computers & Fluids 140, 2016, 247--259 more…
- Massively parallel large scale stokes flow simulation. NIC Symposium, 2016 more…
- A quantitative performance study for Stokes solvers at the extreme scale. Journal of Computational Science 17 (3), 2016, 509--521 more…
- Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs. Advances in Water Resources 91, 2016, 78--87 more…
- Resilience for Massively Parallel Multigrid Solvers. SIAM Journal on Scientific Computing 38 (5), 2016, S217--S239 more…
- Modeling and Finite Element Formulation for Acoustic Problems Including Rotating Domains. AIAA Journal 54 (12), 2016, 3768--3777 more…
- A Local Error Estimate for the Poisson Equation with a Line Source Term. Numerical Mathematics and Advanced Applications ENUMATH 2015, Springer International Publishing, 2016 more…
- Isogeometric dual mortar methods for computational contact mechanics. Computer Methods in Applied Mechanics and Engineering 301, 2016, 259--280 more…
- Variationally consistent quadratic finite element contact formulations for finite deformation contact problems on rough surfaces. Finite Elements in Analysis and Design 109, 2016, 37--53 more…
- Mass-corrections for the conservative coupling of flow and transport on collocated meshes. Journal of Computational Physics 305, 2016, 319--332 more…
2015
- Isogeometric mortar methods. Computer Methods in Applied Mechanics and Engineering 284, 2015, 292--319 more…
- The Influence of Quadrature Errors on Isogeometric Mortar Methods. Isogeometric Analysis and Applications 2014, Springer International Publishing, 2015 more…
- Reduced Basis Methods for Pricing Options with the Black--Scholes and Heston Models. SIAM Journal on Financial Mathematics 6 (1), 2015, 685--712 more…
- Performance and Scalability of Hierarchical Hybrid Multigrid Solvers for Stokes Systems. SIAM Journal on Scientific Computing 37 (2), 2015, 143--168 more…
- Towards Textbook Efficiency for Parallel Multigrid. Numerical Mathematics: Theory, Methods and Applications 8 (1), 2015, 22--46 more…
- Non-isothermal, multi-phase, multi-component flows through deformable methane hydrate reservoirs. Computational Geosciences 19 (5), 2015, 1063--1088 more…
- Analysis of a bacterial model with nutrient-dependent degenerate diffusion. Mathematical Methods in the Applied Sciences 38 (17), 2015, 3851--3865 more…
- Solution techniques for the Stokes system: a priori and a posteriori modifications, resilient algorithms. Proceedings of the 8th International Congress on Industrial and Applied Mathematics, China Scientific Books, 2015arXiv preprint arXiv:1511.05759, ISBN: 9787040434538 more…
- A Multi-scale Model for Mass Transport in Arteries and Tissue. In: Lecture Notes in Computational Science and Engineering. M. Mehl et al. (eds), Recent Trends in Computational Engineering-CE2014, Lecture Notes in Computational Science and Engineering 105, Springer, Cham, 2015, 197--213 more…
- Dimensionally reduced flow models in fractured porous media: crossings and boundaries. Computational Geosciences 19 (6), 2015, 1219--1230 more…
- A dual Lagrange method for contact problems with regularized frictional contact conditions: Modelling micro slip. Computer Methods in Applied Mechanics and Engineering 285 (20), 2015, 468--487 more…
- Trace and flux a priori error estimates in finite-element approximations of Signorni-type problems. IMA Journal of Numerical Analysis 36 (3), 2015, 1072--1095 more…
- Fast asthenosphere motion in high-resolution global mantle flow models. Geophysical Research Letters 42 (18), 2015, 7429--7435 more…
2014
- Energy-Corrected Finite Element Methods for Corner Singularities. SIAM Journal on Numerical Analysis 52 (1), 2014, 171--193 more…
- Reactive Flows in Deformable, Complex Media. Oberwolfach Reports 11 (3), 2014, 2409--2468 more…
- Local mass-corrections for continuous pressure approximations of incompressible flow. SIAM Journal on Numerical Analysis 52 (6), 2014, 2931--2956 more…
- Energy-Corrected Finite Element Methods for Scalar Elliptic Problems. Numerical Mathematics and Advanced Applications - ENUMATH 2013. Lecture Notes in Computational Science and Engineering, Springer International Publishing, 2014 more…
- A new mortar formulation for modeling elastomer bedded structures with modal-analysis in 3D. Advanced Modeling and Simulation in Engineering Sciences 2 (18), 2014 more…
- Global sensitivity analysis of expensive models using sparse grids with applications to laminated composite structure. Noise Control Engineering Journal 62 (6), 2014, 521--534 more…
- The influence of an unilateral carotid artery stenosis on brain oxygenation. Medical Engineering & Physics 36 (7), 2014, 905--914 more…
- Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side. SIAM Journal on Numerical Analysis 52 (4), 2014, 1753--1769 more…
- Nested Newton Strategies for Energy-Corrected Finite Element Methods. SIAM Journal on Scientific Computing 36 (4), 2014, A1359--A1383 more…
- A dual Lagrange method for contact problems with regularized contact conditions. International Journal for Numerical Methods in Engineering 99 (3), 2014, 221--238 more…
- Robust operator estimates and the application to substructuring methods for first-order systems. ESAIM: Mathematical Modelling and Numerical Analysis 48 (5), 2014, 1473--1494 more…
- A Study of the Time Constant in Unsteady Porous Media Flow Using Direct Numerical Simulation. Transport in Porous Media 104 (1), 2014, 161--179 more…
2013
- On optimal $L^2$-and surface flux convergence in FEM. Computing and Visualization in Science 16 (5), 2013, 231--246 more…
- A contact problem for electro-elastic materials. Zeitschrift für Angewandte Mathematik und Mechanik 93 (10-11), 2013, 789--800 more…
- Coupling Acoustic Perturbation Equations and Pierce Wave Equation for Computational Aeroacoustics. 19th AIAA/CEAS Aeroacoustics Conference, American Institute of Aeronautics and Astronautics, 2013 more…
- Multiphysics simulations: Challenges and opportunities. The International Journal of High Performance Computing Applications 27 (1), 2013, 4--83 more…
- Reduced one-dimensional modelling and numerical simulation for mass transport in fluids. International Journal for Numerical Methods in Fluids 72 (2), 2013, 135--156 more…
- Quasi-optimal a priori estimates for fluxes in mixed finite element methods and an application to the Stokes--Darcy coupling. IMA Journal of Numerical Analysis 34 (1), 2013, 1--27 more…
- Absorbing boundary conditions for a wave equation with a temperature-dependent speed of sound. Journal of Computational Acoustics 21 (02), 2013, 1250028 more…
- Hybrid-mixed discretization of elasto-dynamic contact problems using consistent singular mass matrices. International Journal for Numerical Methods in Engineering 94 (5), 2013, 473--493 more…
- From face to element unknowns by local static condensation with application to nonconforming finite elements. Computer Methods in Applied Mechanics and Engineering 253, 2013, 517--529 more…
- Mixed finite element methods: implementation with one unknown per element, local flux expressions, positivity, polygonal meshes, and relations to other methods. Mathematical Models and Methods in Applied Sciences 23 (5), 2013, 803--838 more…
- Quasi-optimal A Priori Interface Error Bounds and A Posteriori Estimates for the Interior Penalty Method. SIAM Journal on Numerical Analysis 51 (6), 2013, 3259--3279 more…
- Multipoint flux approximation L-method in 3D: numerical convergence and application to two-phase flow through porous media. Radon Ser. Comput. Appl. Math., De Gruyter 12, 2013, 39--80 more…
2012
- Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow. IMA Journal of Applied Mathematics 77 (6), 2012, 887--909 more…
- Non-Matching Grids for a Flexible Discretization in Computational Acoustics. Communications in Computational Physics 11 (2), 2012, 472--488 more…
- A Reduced Basis Method for Parametrized Variational Inequalities. SIAM Journal on Numerical Analysis 50 (5), 2012, 2656--2676 more…
- A Reduced Basis Method for the Simulation of American Options. In: Numerical Mathematics and Advanced Applications. Springer Berlin Heidelberg, 2012, 821--829 more…
- Solving dynamic contact problems with local refinement in space and time. Computer Methods in Applied Mechanics and Engineering 201-204, 2012, 25--41 more…
- Equilibration techniques for solving contact problems with Coulomb friction. Computer Methods in Applied Mechanics and Engineering 205-208, 2012, 29--45 more…
- Quasi-Optimal Approximation of Surface Based Lagrange Multipliers in Finite Element Methods. SIAM Journal on Numerical Analysis 50 (4), 2012, 2064--2087 more…
- Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact. SIAM Journal on Scientific Computing 34 (4), 2012, B421--B446 more…
- Finite element analysis and algorithms for single-crystal strain-gradient plasticity. International Journal for Numerical Methods in Engineering 90 (6), 2012, 784--804 more…
- A multi-time stepping integration method for the ultrasound heating problem. Zeitschrift für Angewandte Mathematik und Mechanik 92 (11-12), 2012, 869--881 more…
- Self-adapting absorbing boundary conditions for the wave equation. Wave Motion 49 (4), 2012, 461--473 more…
- An abstract framework for a priori estimates for contact problems in 3D with quadratic finite elements. Computational Mechanics 49 (6), 2012, 735--747 more…
2011
- A two-scale operator-splitting method for two-phase flow in porous media. Advances in Water Resources 34 (12), 2011, 1581--1596 more…
- Convergence of the multipoint flux approximation L-method for homogeneous media on uniform grids. Numerical Methods for Partial Differential Equations 27 (2), 2011, 329--350 more…
- Hindernis- und Kontaktprobleme – 7. In: Facettenreiche Mathematik: Einblicke in die moderne mathematische Forschung. Vieweg+Teubner Verlag, 2011, 127--146 more…
- A new approach for phase transitions in miscible multi-phase flow in porous media. Advances in Water Resources 34 (8), 2011, 957--966 more…
- A coupling concept for two-phase compositional porous-medium and single-phase compositional free flow. Water Resources Research 47 (10), 2011 more…
- A Primal-Dual Finite Element Approximation for a Nonlocal Model in Plasticity. SIAM Journal on Numerical Analysis 49 (2), 2011, 692--710 more…
- Variationally consistent discretization schemes and numerical algorithms for contact problems. Acta Numerica 20, 2011, 569--734 more…
2010
- The Equivalence of Standard and Mixed Finite Element Methods in Applications to Elasto-Acoustic Interaction. SIAM Journal on Scientific Computing 32 (4), 2010, 1980--2006 more…
- Numerical techniques for the valuation of basket options and their Greeks. The Journal of Computational Finance 13 (4), 2010, 3--33 more…
- Semismooth Newton methods for variational problems with inequality constraints. GAMM-Mitteilungen 33 (1), 2010, 8--24 more…
- Enhanced finite element scheme for vibrational and flow induced sound. IOP Conference Series: Materials Science and Engineering, IOP Publishing, 2010 more…
- Optimal a priori estimates for higher order finite elements for elliptic interface problems. Applied numerical mathematics 60 (1-2), 2010, 19--37 more…
- Applications of the Mortar Finite Element Method in Vibroacoustics and Flow Induced Noise Computations. Acta Acustica united with Acustica 96 (3), 2010, 536--553 more…
- A Posteriori Error Estimator for Obstacle Problems. SIAM Journal on Scientific Computing 32 (5), 2010, 2627--2658 more…
2009
- A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method. International Journal for Numerical Methods in Engineering 78 (8), 2009, 931--954 more…
- An overlapping domain decomposition method for the simulation of elastoplastic incremental forming processes. International Journal for Numerical Methods in Engineering 77 (9), 2009, 1224--1246 more…
- Geometrical interpretation of the multi-point flux approximation L-method. International Journal for Numerical Methods in Fluids 60 (11), 2009, 1173--1199 more…
- A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction. ESAIM: Mathematical Modelling and Numerical Analysis 43 (3), 2009, 487--506 more…
- Nonlinear complementarity functions for plasticity problems with frictional contact. Computer Methods in Applied Mechanics and Engineering 198 (41-44), 2009, 3411--3427 more…
- Analysis of a space-time discretization for dynamic elasticity problems based on mass-free surface elements. SIAM Journal on Numerical Analysis 47 (3), 2009, 1863--1885 more…
- Variational inequalities for modeling flow in heterogeneous porous media with entry pressure. Computational Geosciences 13, 2009, 373--389 more…
- Thermo-mechanical contact problems on non-matching meshes. Computer Methods in Applied Mechanics and Engineering 198 (15-16), 2009, 1338--1350 more…
- A posteriori error estimator and error control for contact problems. Mathematics of Computation 78 (267), 2009, 1237--1267 more…
2008
- Simulation of Elastoplastic Forming Processes Using Overlapping Domain Decomposition and Inexact Newton Methods. In: IUTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media. Springer Netherlands, 2008, 155--164 more…
- The influence of the boundary discretization on the multipoint flux approximation L-method. Finite Volumes for Complex Applications V (Problems & Perspectives), Wiley, 2008 more…
- A Two-scale Operator Splitting for Flow Problems in Porous Media. Proceedings of ECMOR XI, EAGE Publications BV, 2008 more…
- A stable energy-conserving approach for frictional contact problems based on quadrature formulas. International Journal for Numerical Methods in Engineering 73 (2), 2008, 205--225 more…
- Energy-Consistent CoRotational Schemes for Frictional Contact Problems. SIAM Journal on Scientific Computing 30 (5), 2008, 2488--2511 more…
- A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction. SIAM Journal on Scientific Computing 30 (2), 2008, 572--596 more…
- An a posteriori error estimator for the Lamé equation based on equilibrated fluxes. IMA Journal of Numerical Analysis 28 (2), 2008, 331--353 more…
- Energy-Conserving Algorithms for a Corotational Formulation. SIAM Journal on Numerical Analysis 46 (4), 2008, 1842--1866 more…
2007
- Contact Dynamics with Lagrange Multipliers. IUTAM Symposium on Computational Methods in Contact Mechanics (IUTAM Bookseries), Springer Netherlands, 2007ISBN: 978-1-4020-6405-0 more…
- An elastoplastic coupling algorithm for the simulation of incremental metal forming processes. Computational Methods for Coupled Problems in Science and Engineering II, CIMNE, 2007 more…
- A fast and robust iterative solver for nonlinear contact problems using a primal-dual active set strategy and algebraic multigrid. International Journal for Numerical Methods in Engineering 69 (3), 2007, 524--543 more…
- Locking-free finite element methods for linear and nonlinear elasticity in 2D and 3D. Computer Methods in Applied Mechanics and Engineering 196 (41-44), 2007, 4075--4086 more…
- Elasto-Akustik-Kopplung auf nichtkonformen Gittern. Proceedings of the DAGA, Stuttgart, 2007 more…
- DUMUX: a multi-scale multi-physics toolbox for flow and transport processes in porous media. ECCOMAS Thematic Conference on Multi-scale Computational Methods for Solids and Fluids, 2007 more…
- Nonconforming Methods for Nonlinear Elasticity Problems. In: Domain Decomposition Methods in Science and Engineering XVI. Springer, Berlin, Heidelberg, 2007, 65--76 more…
- Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D. Computer Methods in Applied Mechanics and Engineering 196 (8), 2007, 1589--1602 more…
- Unilateral non-linear dynamic contact of thin-walled structures using a primal-dual active set strategy. International Journal for Numerical Methods in Engineering 70 (8), 2007, 883--912 more…
- Dynamic capillary effects in heterogeneous porous media. Computational Geosciences 11 (3), 2007, 261--274 more…
- Efficient Algorithms for Problems with Friction. SIAM Journal on Scientific Computing 29 (1), 2007, 70--92 more…
- A stabilized integration method for frictional dynamic contact problems. IX International Conference on Computational Plasticity, Fundamental and Applications, CIMNE, 2007 more…
- Dual-primal Iterative Substructuring for Almost Incompressible Elasticity. In: Domain Decomposition Methods in Science and Engineering XVI. Springer Berlin Heidelberg, 2007, 397--404 more…
- Biorthogonal Bases with Local Support and Approximation Properties. Mathematics of Computation 76 (257), 2007, 233--250 more…
- An a Posteriori Error Estimator for Two-Body Contact Problems on Non-Matching Meshes. Journal of Scientific Computing 33 (1), 2007, 25--45 more…
2006
- Conditions for equivalence between the Hu--Washizu and related formulations, and computational behavior in the incompressible limit. Computer Methods in Applied Mechanics and Engineering 195 (33-36), 2006, 4161--4178 more…
- Multilevel Numerical Algorithms and Experiments for Contact Dynamics. In: Multifield Problems in Solid and Fluid Mechanics. Springer, Berlin, Heidelberg, 2006, 271--319 more…
- Finite-Elemente-Verfahren zur präzisen numerischen Berechnung von Schallentstehung und Ausbreitung. Proceedings of the DAGA, Braunschweig, 2006 more…
- Elasto-acoustic and acoustic-acoustic coupling on non-matching grids. International Journal for Numerical Methods in Engineering 67 (13), 2006, 1791--1810 more…
- Nonconforming Discretization Techniques for Coupled Problems. In: Multifield Problems in Solid and Fluid Mechanics. Springer, Berlin, Heidelberg, 2006, 531--560 more…
- Fuzzy arithmetic based on dimension-adaptive sparse grids: a case study of a large-scale finite element model under uncertain parameters. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 14 (05), 2006, 561--577 more…
- Constructing dimension-adaptive sparse grid interpolants using parallel function evaluations. Parallel Processing Letters 16 (04), 2006, 407--418 more…
- Convergence in the incompressible limit of finite element approximations based on the Hu--Washizu formulation. Numerische Mathematik 104 (2), 2006, 151--175 more…
- Mortar methods for contact problems. In: Analysis and Simulation of Contact Problems. Springer Berlin Heidelberg, 2006, 39--47 more…
2005
- A primal-dual active set strategy for elastoplastic contact problems in the context of metal forming processes. Computational Plasticity: Fundamentals and Applications-Proceedings of the 8th International Conference on Computational Plasticity, COMPLAS, CIMNE, 2005 more…
- Mortar methods with curved interfaces. Applied Numerical Mathematics 54 (3-4), 2005, 339--361 more…
- A new dual mortar method for curved interfaces: 2D elasticity. International Journal for Numerical Methods in Engineering 63 (6), 2005, 813--832 more…
- Scalar and vector potentials' coupling on nonmatching grids for the simulation of an electromagnetic brake. COMPEL - The international journal for computation and mathematics in electrical and electronic engineering 24 (3), 2005, 1061--1070 more…
- A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems. Applied Numerical Mathematics 54 (3), 2005, 555--576 more…
- A mixed variational formulation and an optimal a priori error estimate for a frictional contact problem in elasto-piezoelectricity. Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 48 (2), 2005, 209--232 more…
- Computing expensive multivariate functions of fuzzy numbers using sparse grids. Fuzzy Sets and Systems 154 (3), 2005, 432--453 more…
- Algorithm 847: Spinterp: Piecewise Multilinear Hierarchical Sparse Grid Interpolation in MATLAB. ACM Transactions on Mathematical Software 31 (4), 2005, 561--579 more…
- Higher Order Mortar Finite Element Methods in 3D with Dual Lagrange Multiplier Bases. Numerische Mathematik 102 (1), 2005, 93--121 more…
- Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications. Domain Decomposition Methods in Science and Engineering (Lecture Notes in Computational Science and Engineering 40), Springer-Verlag, 2005 more…
- A primal-dual active set strategy for non-linear multibody contact problems. Computer Methods in Applied Mechanics and Engineering 194 (27-29), 2005, 3147--3166 more…
- An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems. SIAM Journal on Numerical Analysis 43 (1), 2005, 156--173 more…
- A $\scr V$-cycle multigrid approach for mortar finite elements. SIAM Journal on Numerical Analysis 42 (6), 2005, 2476--2495 more…
2004
- Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods. Journal of Numerical Mathematics 12 (1), 2004, 347--357 more…
- Coupling scalar and vector potentials on nonmatching grids for eddy currents in a moving conductor. Journal of Computational and Applied Mathematics 168 (1-2), 2004, 191--205 more…
- A domain decomposition method on nested domains and nonmatching grids. Numerical Methods for Partial Differential Equations 20 (3), 2004, 374--387 more…
- A comparison of mortar and Nitsche techniques for linear elasticity. Calcolo 41 (3), 2004, 115--137 more…
- Uncertainty modeling using fuzzy arithmetic based on sparse grids: applications to dynamic systems. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12 (06), 2004, 745--759 more…
- Efficient fuzzy arithmetic for nonlinear functions of modest dimension using sparse grids. 2004 IEEE International Conference on Fuzzy Systems (IEEE Cat. No.04CH37542), IEEE, 2004 more…
- Mortar Finite Elements for Interface Problems. Computing 72 (3-4), 2004, 333--348 more…
- A quasi-dual Lagrange multiplier space for Serendipity Mortar finite elements in 3D. ESAIM: Mathematical Modelling and Numerical Analysis 38 (1), 2004, 73--92 more…
- A Local A Posteriori Error Estimator Based on Equilibrated Fluxes. SIAM Journal on Numerical Analysis 42 (4), 2004, 1394--1414 more…
- A domain decomposition method for domains with holes using a complementary decomposition. Computer Methods in Applied Mechanics and Engineering 193 (45-47), 2004, 4961--4978 more…
2003
- Convergence of a Contact-Neumann Iteration for the Solution of Two-Body Contact Problems. Mathematical Models & Methods in Applied Sciences 13 (08), 2003, 1103--1118 more…
- Mortar element coupling between global scalar and local vector potentials to solve eddy current problems. Numerical Mathematics and Advanced Applications, Springer Milan, 2003 more…
- Mortar element coupling between global scalar and local vector potentials to solve Eddy current problems. Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2001, Springer Milan, 2003 more…
- Duality Estimates and Multigrid Analysis for Saddle Point Problems Arising from Mortar Discretizations. SIAM Journal on Scientific Computing 24 (6), 2003, 2163--2184 more…
- Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems. SIAM Journal on Scientific Computing 25 (1), 2003, 324--347 more…
2002
- Simulierte Welten - die Zukunft im Rechner. 2002 more…
- A Dirichlet-Neumann type algorithm for contact problems with friction. Computing and Visualization in Science 5 (3), 2002, 139--148 more…
- Higher Order Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations. Calcolo. A Quarterly on Numerical Analysis and Theory of Computation 39 (4), 2002, 219--237 more…
- Coupling between scalar and vector potentials by the mortar element method. Comptes Rendus Mathematique 334 (10), 2002, 933--938 more…
- The Influence of Quadrature Formulas in 2D and 3D Mortar Element Methods. In: Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2002, 203--221 more…
- On polynominal reproduction of dual FE bases. Domain Decomposition Methods in Science and Engineering, CIMNE, 2002Thirteenth International Conference on Domain Decomposition Methods, Lyon, France more…
- A Comparison of Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations. ESAIM: Mathematical Modelling and Numerical Analysis 36 (6), 2002, 995--1012 more…
2001
- Domain decomposition methods on nonmatching grids and some applications to linear elasticity. Zeitschrift für angewandte Mathematik und Mechanik 81, 2001, 21--24 more…
- On residual-based a-posteriori error estimation in $hp$-FEM. Advances in Computational Mathematics 15 (1), 2001, 311--331 more…
- An iterative substructuring method for Maxwell′s equations in two dimensions. Mathematics of Computation 70 (235), 2001, 935--950 more…
- Discretization Methods and Iterative Solvers Based on Domain Decomposition. Volume 17. Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2001 more…
- A Multigrid Method Based on the Unconstrained Product Space for Mortar Finite Element Discretizations. SIAM Journal on Numerical Analysis 39 (1), 2001, 192--213 more…
2000
- Residual based a posteriori error estimators for eddy current computation. ESAIM: Mathematical Modelling and Numerical Analysis 34 (1), 2000, 159--182 more…
- Hierarchical error estimator for eddy current computation. Numerical Mathematics and Advanced Applications (Jyväskylä, 1999), World Sci. Publ., River Edge, NJ, 20003rd European Conference on Numerical Mathematics and Advanced Applications; Conference Location: Jyväskylä, Finland; Conference Date: July 26 - 30, 1999 more…
- AdaptiveFinite Element Methods for Domain Decomposition on Nonmatching Grids. Parallel Solution of Partial Differential Equations (IMA Vol. Math. Appl.), Springer, New York, NY, 2000 more…
- Nonconforming domain decomposition techniques for linear elasticity. East-West Journal of Numerical Mathematics 8 (3), 2000, 177--206 more…
- Multigrid Methods for Mortar Finite Elements. In: Multigrid methods, VI (Gent, 1999). Springer Berlin Heidelberg, 2000, 136--142 more…
- Multigrid methods for saddlepoint problems arising from mortar finite element discretizations. Electronic Transactions on Numerical Analysis 11, 2000, 43--54 more…
- A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier. SIAM Journal on Numerical Analysis 38 (3), 2000, 989--1012 more…
- An Iterative Substructuring Method for Raviart--Thomas Vector Fields in Three Dimensions. SIAM Journal on Numerical Analysis 37 (5), 2000, 1657--1676 more…
1999
- Adaptive Multilevel Methods for Edge Element Discretizations of Maxwell′s Equations. Surveys on mathematics for industry 8 (3-4), 1999, 271--312 more…
- Mortar Finite Element Methods for Discontinuous Coefficients. Journal of Applied Mathematics and Mechanics 79 (S1), 1999, 151--154 more…
- A residual based estimator for mortar finite element discretizations. Numerische Mathematik 84, 1999, 143--171 more…
- Hierarchical A Posteriori Error Estimators for Mortar Finite Element Methods with Lagrange Multipliers. SIAM Journal on Numerical Analysis 36 (5), 1999, 1636--1658 more…
- A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart--Thomas elements. Mathematics of Computation 68 (228), 1999, 1347--1378 more…
1998
- Adaptive Macro-Hybrid Finite Element Methods. Proc. 2nd European Conference on Numerical Methods (ENUMATH 97), Heidelberg, Sept, World Scientific, Singapore, 1998 more…
- Hierarchical basis error estimators for Raviart-Thomas discretizations of arbitrary order. In: Finite element methods (University of Jyväskylä, 1997). Dekker, New York, 1998, 155--167 more…
- Adaptive mixed hybrid and macro-hybrid finite element methods. Acta Mathematica Universitatis Comenianae. New Series 67 (1), 1998, 159--179 more…
- Analysis and parallel implementation of adaptive mortar finite element methods. East-West Journal of Numerical Mathematics 6 (3), 1998, 223--248 more…
- The coupling of mixed and conforming finite element discretizations. Proceedings of the 10th International Conference on Domain Decomposition (Boulder, CO, 1997) (Contemporary Mathematics 218), American Mathematical Society, 1998 more…
- Error estimators for mortar finite element discretizations. Zeitschrift für Angewandte Mathematik und Mechanik 78 (S3), 1998, 1133--1134 more…
1997
- Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations. Applied Numerical Mathematics 23 (1), 1997, 97--117 more…
- Adaptive Multilevel Techniques for Mixed Finite Element Discretizations of Elliptic Boundary Value Problems. SIAM Journal on Numerical Analysis 34 (4), 1997, 1658--1681 more…
1996
- Multilevel preconditioned augmented Lagrangian techniques for 2nd order mixed problems. Computing 57, 1996, 25--48 more…
- Element-oriented and edge-oriented local error estimators for nonconforming finite element methods. ESAIM: Mathematical Modelling and Numerical Analysis 30 (2), 1996, 237--263 more…
1995
- Coupling Problems in Microelectronic Device Simulation. Notes on Numerical Fluid Mechanics (NNFM), Vieweg$\mathplus$Teubner Verlag, 1995 more…
- Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods. Applications of Mathematics 40 (3), 1995, 227--248 more…
- Adaptive multilevel iterative techniques for nonconforming finite element discretizations. East-West Journal of Numerical Mathematics 3 (3), 1995, 179--197 more…
- Adaptive multilevel methods for nonconforming finite element discretizations. Zeitschrift für Angewandte Mathematik und Mechanik 75 (2), 1995, 717--718 more…
- Adaptive Multilevel-Finite-Elemente Methoden zur Lösung elliptischer Randwertprobleme. Dissertation, 1995 more…
1994
- Multilevel Approaches to nonconforming finite element discretizations of linear second order elliptic boundary value problems. Journal of Computing and Information 4, 1994, 73--86 more…