- 2023
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- 2020
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- 2015
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- 2013
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2023
- Adaptive sampling strategies for risk-averse stochastic optimization with constraints. IMA Journal of Numerical Analysis, 2023 mehr…
- 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 mehr…
2022
- Drought Conditions Enhance Groundwater Table Fluctuations Caused by Hydropower Plant Management. Water Resources Research 58 (10), 2022, e2022WR032712 mehr…
- 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 mehr…
- Block low-rank single precision coarse grid solvers for extreme scale multigrid methods. Numerical Linear Algebra with Applications 29 (1), 2022, e2407 mehr…
- A 1D-0D-3D coupled model for simulating blood flow and transport processes in breast tissue. 2022 mehr…
- Time-fractional Cahn–Hilliard equation: Well-posedness, degeneracy, and numerical solutions. Computers & Mathematics with Applications 108, 2022, 66-87 mehr…
- Hybrid Discretizations in Solid Mechanics for Non-linear and Non-smooth Problems. In: Non-standard Discretization Methods in Solid Mechanics. Springer, 2022, 1- 35 mehr…
- Frontiers in Mortar Methods for Isogeometric Analysis. In: Non-standard Discretisation Methods in Solid Mechanics. Springer International Publishing, 2022, 405--447 mehr…
- Determining kernels in linear viscoelasticity. Journal of Computational Physics, 2022, 111331 mehr…
- Statistically equivalent surrogate material models: Impact of random imperfections on the elasto-plastic response. Computer Methods in Applied Mechanics and Engineering, 2022, 115278 mehr…
- Risk-averse design of tall buildings for uncertain wind conditions. 2022 mehr…
- Elasto-acoustic modeling and simulation for the seismic response of structures: The case of the Tahtali dam in the 2020 Izmir earthquake. Journal of Computational Physics 466 (466), 2022, 111411 mehr…
- Numerical modeling of gas hydrate recycling in complex media: Implications for gas migration through strongly anisotropic layers. Earth and Space Science Open Archive, 2022, 37 mehr…
- Impacts of Peak-Flow Events on Hyporheic Denitrification Potential. Water Resources Research 58 (3), 2022, e2021WR031407 mehr…
2021
- Resiliency in Numerical Algorithm Design for Extreme Scale Simulations. 2021 mehr…
- Alpine Permafrost Modeling: On the influence of topography driven lateral fluxes. 2021 mehr…
- Temporal Scale-Dependent Sensitivity Analysis for Hydrological Model Parameters Using the Discrete Wavelet Transform and Active Subspaces. Water Resources Research 57 (10), 2021, e2020WR028511 mehr…
- Semi matrix-free twogrid shifted Laplacian preconditioner for the Helmholtz equation with near optimal shifts. 2021 mehr…
- Modeling and simulation of vascular tumors embedded in evolving capillary networks. Computer Methods in Applied Mechanics and Engineering 384, 2021, 113975 mehr…
- 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 mehr…
- On a subdiffusive tumour growth model with fractional time derivative. IMA Journal of Applied Mathematics 86 (4), 2021, 688-729 mehr…
- Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer. 2021 mehr…
- Multidimensional coupling: A variationally consistent approach to fiber-reinforced materials. 2021 mehr…
- Solving time-fractional differential equation via rational approximation. 2021 mehr…
- A discontinuous Galerkin coupling for nonlinear elasto-acoustics. 2021 mehr…
- A discontinuous Galerkin coupling for nonlinear elasto-acoustics. IMA Journal of Numerical Analysis, 2021 mehr…
2020
- A high-order discontinuous Galerkin method for nonlinear sound waves. Journal of Computational Physics, 2020, 109484 mehr…
- TerraNeo-Mantle Convection Beyond a Trillion Degrees of Freedom. Software for Exascale Computing - SPPEXA 2016-2019, Springer International Publishing, 2020 mehr…
- Adaptive sampling strategies for risk-averse stochastic optimization with constraints. 2020 mehr…
- Identifying relevant hydrological and catchment properties in active subspaces: An inference study of a lumped karst aquifer model. Advances in Water Resources, 2020, 103472 mehr…
- Crosspoint modification for multi-patch isogeometric analysis. Computer Methods in Applied Mechanics and Engineering 360, 2020, 112768 mehr…
- 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 mehr…
- The surrogate matrix methodology: Low-cost assembly for isogeometric analysis. Computer Methods in Applied Mechanics and Engineering 361, 2020, 112776 mehr…
- The surrogate matrix methodology: Accelerating isogeometric analysis of waves. Computer Methods in Applied Mechanics and Engineering 372, 2020, 113322 mehr…
- The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis. MethodsX, 2020, 100813 mehr…
- An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models. Energies 13 (2), 2020 mehr…
- A fractional PDE model for turbulent velocity fields near solid walls. 2020 mehr…
- A statistical framework for generating microstructures of two-phase random materials: application to fatigue analysis. Multiscale Modeling & Simulation 18 (1), 2020, 21--43 mehr…
- A 3D-1D coupled blood flow and oxygen transport model to generate microvascular networks. International Journal for Numerical Methods in BiomedicalEngineering 36 (10), 2020, e3386 mehr…
- Fronts in two‐phase porous media flow problems: The effects of hysteresis and dynamic capillarity. Studies in Applied Mathematics 144 (4), 2020, 449--492 mehr…
- Generalized Bounds for Active Subspaces. Electronic Journal of Statistics 14 (1), 2020, 917--943 mehr…
2019
- Large-scale simulation of mantle convection based on a new matrix-free approach. Journal of Computational Science 31, 2019, 60--76 mehr…
- Finite volume discretization for poroelastic media with fractures modeled by contact mechanics. International Journal for Numerical Methods in Engineering 0 (0), 2019 mehr…
- Complexity reduction for calibration to American options. Journal of Computational Finance 23 (1), 2019, 25--60 mehr…
- Weak C<sup>n</sup> coupling for multipatch isogeometric analysis in solid mechanics. International Journal for Numerical Methods in Engineering 118 (11), 2019, 678-699 mehr…
- The Surrogate Matrix Methodology: A Priori Error Estimation. SIAM Journal on Scientific Computing 41 (6), 2019, A3806-A3838 mehr…
- 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 mehr…
- 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 mehr…
- Splitting method for elliptic equations with line sources. ESAIM: M2AN 53 (5), 2019, 1715-1739 mehr…
- 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 mehr…
- Adaptive control in roll-forward recovery for extreme scale multigrid. The International Journal of High Performance Computing Applications 33 (5), 2019, 817-837 mehr…
- On the Jordan-Moore-Gibson-Thompson Equation: Well-Posedness with Quadratic Gradient Nonlinearity and Singular Limit for Vanishing Relaxation Time. Mathematical Models and Methods in Applied Sciences 0 (ja), 2019, null mehr…
- Vanishing relaxation time limit of the Jordan-Moore-Gibson-Thompson wave equation with Neumann and absorbing boundary conditions. arXiv e-prints, 2019, arXiv:1902.10606 mehr…
- Analysis of Boundary Effects on PDE-Based Sampling of Whittle--Matérn Random Fields. SIAM/ASA Journal on Uncertainty Quantification 7 (3), 2019, 948-974 mehr…
- On the well-posedness of Bayesian inverse problems. arXiv e-prints, 2019, arXiv:1902.10257 mehr…
- Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation. Journal of Computational Physics 388, 2019, 279-299 mehr…
- Isogeometric shape optimization for nonlinear ultrasound focusing. Evolution Equations & Control Theory 8 (1), 2019, 163--202 mehr…
- 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 mehr…
- A mortar formulation including viscoelastic layers for vibration analysis. Computational Mechanics 63 (1), 2019, 23--33 mehr…
- Goal-oriented adaptive modeling of random heterogeneous media and model-based multilevel Monte Carlo methods. Computers & Mathematics with Applications, 2019 mehr…
- Multi-patch isogeometric analysis for Kirchhoff--Love shell elements. Computer Methods in Applied Mechanics and Engineering 349, 2019, 91--116 mehr…
- Maximum Norm Estimates for Energy-Corrected Finite Element Method. European Conference on Numerical Mathematics and Advanced Applications, 2019 mehr…
- Energy-corrected FEM and explicit time-stepping for parabolic problems. to appear in M2AN, 2019 mehr…
- Bayesian Calibration and Sensitivity Analysis for a Karst Aquifer Model Using Active Subspaces. Water Resources Research 55 (8), 2019, 7086-7107 mehr…
- Efficient parameter estimation for a methane hydrate model with active subspaces. Computational Geosciences 23 (2), 2019, 355--372 mehr…
- Hybrid Models for Simulating Blood Flow in Microvascular Networks. Multiscale Modeling & Simulation 17 (3), 2019, 1076-1102 mehr…
- 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 mehr…
2018
- A Stencil Scaling Approach for Accelerating Matrix-Free Finite Element Implementations. SIAM Journal on Scientific Computing 40 (6), 2018, C748-C778 mehr…
- A new matrix-free approach for large-scale geodynamic simulations and its performance. International Conference on Computational Science, 2018 mehr…
- Numerical evaluation of discontinuous and nonconforming finite element methods in nonlinear solid mechanics. Comput Mech 62, 2018, 1413–1427 mehr…
- Calibration to American options: numerical investigation of the de-Americanization method. Quantitative finance 18 (7), 2018, 1091--1113 mehr…
- The DPG-star method. ArXiv e-prints, 2018 mehr…
- On the Analysis of Block Smoothers for Saddle Point Problems. SIAM Journal on Matrix Analysis and Applications 39 (2), 2018, 932-960 mehr…
- Well-posedness and numerical treatment of the Blackstock equation in nonlinear acoustics. Mathematical Models and Methods in Applied Sciences 28 (13), 2018, 2557-2597 mehr…
- Surface Couplings for Subdomain-Wise Isoviscous Gradient Based Stokes Finite Element Discretizations. Journal of Scientific Computing 74 (2), 2018, 895--919 mehr…
- Energy corrected FEM for optimal Dirichlet boundary control problems. Numerische Mathematik 139 (4), 2018, 913--938 mehr…
- The HyTeG finite-element software framework for scalable multigrid solvers. International Journal of Parallel, Emergent and Distributed Systems, 2018, 1--20 mehr…
- 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 mehr…
- Calibration of Multi-Parameter Models of Avascular Tumor Growth Using Time Resolved Microscopy Data. Scientific Reports 8 (1), 2018, 1-17 mehr…
- A mixed variational formulation for a class of contact problems in viscoelasticity. Applicable Analysis 97 (8), 2018, 1340--1356 mehr…
- Goal-oriented adaptive surrogate construction for stochastic inversion. Computer Methods in Applied Mechanics and Engineering 339, 2018, 36 - 60 mehr…
- BIM gestützte strukturdynamische Analyse mit Volumenelementen höherer Ordnung. Bauingenieur 93 (4), 2018, 160--166 mehr…
- A probabilistic framework for approximating functions in active subspaces. ArXiv e-prints, 2018 mehr…
- Streamline method for resolving sharp fronts for complex two-phase flow in porous media. Computational Geosciences 22 (6), 2018, 1487--1502 mehr…
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 mehr…
- Scheduling massively parallel multigrid for multilevel Monte Carlo methods. SIAM Journal on Scientific Computing 39 (5), 2017, S873--S897 mehr…
- Cell differentiation defines acute and chronic infection cell types in Staphylococcus aureus. Elife 6, 2017, e28023 mehr…
- 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 mehr…
- Reduced basis isogeometric mortar approximations for eigenvalue problems in vibroacoustics. In: Model Reduction of Parametrized Systems. Springer, 2017, 91--106 mehr…
- Higher order energy-corrected finite element methods. arXiv preprint arXiv:1704.05638, 2017 mehr…
- Simultaneous reduced basis approximation of parameterized elliptic eigenvalue problems. ESAIM: Mathematical Modelling and Numerical Analysis 51 (2), 2017, 443--465 mehr…
- Energy-corrected finite element methods for the Stokes system. IMA Journal of Numerical Analysis 37 (2), 2017, 687-729 mehr…
- 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 (Supplement C), 2017, 277 - 305 mehr…
- Simultaneous quasi-optimal convergence rates in FEM-BEM coupling. Mathematical Methods in the Applied Sciences 40 (2), 2017, 463--485 mehr…
- Sharp algebraic and total a posteriori error bounds for $h$ and $p$ finite elements via a multilevel approach. 2017 mehr…
2016
- Hybrid parallel multigrid methods for geodynamical simulations. In: Software for Exascale Computing-SPPEXA 2013-2015. Springer, 2016, 211--235 mehr…
- Numerical modeling of compensation mechanisms for peripheral arterial stenoses. Computers in Biology and Medicine 70, 2016, 190 - 201 mehr…
- 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 mehr…
- Lattice Boltzmann methods in porous media simulations: From laminar to turbulent flow. Computers & Fluids 140, 2016, 247--259 mehr…
- Massively parallel large scale stokes flow simulation. NIC Symposium, 2016 mehr…
- A quantitative performance study for Stokes solvers at the extreme scale. Journal of Computational Science 17, 2016, 509--521 mehr…
- Multi-rate time stepping schemes for hydro-geomechanical model for subsurface methane hydrate reservoirs. Advances in Water Resources 91, 2016, 78 - 87 mehr…
- Resilience for Massively Parallel Multigrid Solvers. SIAM Journal on Scientific Computing 38 (5), 2016, S217-S239 mehr…
- Modeling and finite element formulation for acoustic problems including rotating domains. AIAA Journal, 2016, 3768--3777 mehr…
- A Local Error Estimate for the Poisson Equation with a Line Source Term. Numerical Mathematics and Advanced Applications ENUMATH 2015, 2016 mehr…
- TerraNeo - Integrated Co- Design of an Exascale Earth Mantle Modeling Framework. 2016 mehr…
- Mass-corrections for the conservative coupling of flow and transport on collocated meshes. Journal of Computational Physics 305, 2016, 319–332 mehr…
- Research and Education in Computational Science and Engineering. arXiv e-prints, 2016, arXiv:1610.02608 mehr…
- Isogeometric dual mortar methods for computational contact mechanics. Comput. Methods Appl. Mech. Eng. 301, 2016, 259--280 mehr…
- 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 mehr…
2015
- Isogeometric mortar methods. Comput. Methods Appl. Mech. Eng. 284, 2015, 292–319 mehr…
- The Influence of Quadrature Errors on Isogeometric Mortar Methods. Isogeometric Analysis and Applications 2014, Springer International Publishing, 2015 mehr…
- Reduced Basis Methods for Pricing Options with the Black--Scholes and Heston Models. SIAM Journal on Financial Mathematics 6 (1), 2015, 685-712 mehr…
- Performance and Scalability of Hierarchical Hybrid Multigrid Solvers for Stokes Systems. SIAM J. Sci. Comput 2 (37), 2015, 143-168 mehr…
- Towards Textbook Efficiency for Parallel Multigrid. Numerical Mathematics: Theory, Methods and Applications 8, 2015, 22-46 mehr…
- Non-isothermal, multi-phase, multi-component flows through deformable methane hydrate reservoirs. Computational Geosciences 19 (5), 2015, 1063--1088 mehr…
- On optimal L2- and surface flux convergence in FEM. Comput. Visual Sci. 16, 2015, 231–246 mehr…
- Analysis of a bacterial model with nutrient-dependent degenerate diffusion. Mathematical Methods in the Applied Sciences 38 (17), 2015, 3851--3865 mehr…
- Energy-Corrected Finite Element Methods for Scalar Elliptic Problems. Numerical Mathematics and Advanced Applications - ENUMATH 2013, Springer International Publishing, 2015 mehr…
- Solution techniques for the Stokes system: a priori and a posteriori modifications, resilient algorithms. arXiv preprint arXiv:1511.05759, 2015 mehr…
- A multi-scale model for mass transport in arteries and tissue. M. Mehl et al. (eds), Recent Trends in Computational Engineering-CE2014, Lecture Notes in Computational Science and Engineering 105, Springer International Publishing Switzerland, pp. 197–213., 2015 mehr…
- Dimensionally reduced flow models in fractured porous media: crossings and boundaries. Computational Geosciences 19 (6), 2015, 1219--1230 mehr…
- A dual Lagrange method for contact problems with regularized frictional contact conditions: Modelling micro slip. Computer Methods in Applied Mechanics and Engineering 285 (0), 2015, 468--487 mehr…
- Trace and flux a priori error estimates in finite-element approximations of Signorni-type problems. IMA J. Numer. Anal. 36 (3), 2015, 1072--1095 mehr…
- Fast asthenosphere motion in high-resolution global mantle flow models. Geophysical Research Letters 42 (18), 2015, 7429--7435 mehr…
2014
- Energy-corrected finite element methods for corner singularities. SIAM Journal on Numerical Analysis 52 (1), 2014, 171--193 mehr…
- Local mass-corrections for continuous pressure approximations of incompressible flow. SIAM Journal on Numerical Analysis 52 (6), 2014, 2931--2956 mehr…
- A new mortar formulation for modeling elastomer bedded structures with modal-analysis in 3D. Advanced Modeling and Simulation in Engineering Sciences 1 (1), 2014, 18 mehr…
- Global sensitivity analysis of expensive models using sparse grids with applications to laminated composite structure. Noise Control Engineering Journal 62 (6), 2014, 521--534 mehr…
- The influence of an unilateral carotid artery stenosis on brain oxygenation. Medical engineering & physics 36 (7), 2014, 905--914 mehr…
- Nested Newton Strategies for Energy-Corrected Finite Element Methods. SIAM Journal on Scientific Computing 36 (4), 2014, A1359-A1383 mehr…
- Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side. SIAM Journal on Numerical Analysis 52 (4), 2014, 1753-1769 mehr…
- Robust operator estimates and the application to sub structuring methods for first-order systems. ESAIM: Mathematical Modelling and Numerical Analysis 48 (5), 2014, 1473–1494 mehr…
- A Study of the Time Constant in Unsteady Porous Media Flow Using Direct Numerical Simulation. Transp Porous Med 104, 2014, 161–179 mehr…
2013
- A Reduced Basis Method for the Simulation of American Options. In: Numerical Mathematics and Advanced Applications 2011. Springer Berlin Heidelberg, 2013 mehr…
- On optimal L^2-and surface flux convergence in FEM. Computing and Visualization in Science 16 (5), 2013, 231--246 mehr…
- A contact problem for electro-elastic materials. ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik 93 (10-11), 2013, 789--800 mehr…
- Coupling Acoustic Perturbation Equations and Pierce Wave Equation for Computational Aeroacoustics. 19th AIAA/CEAS Aeroacoustics Conference, 2013 mehr…
- Multiphysics simulations: Challenges and opportunities. The International Journal of High Performance Computing Applications 27 (1), 2013, 4--83 mehr…
- Reduced one-dimensional modelling and numerical simulation for mass transport in fluids. Int. J. of Numerics in Fluids 72, 2013, 135--156 mehr…
- 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 mehr…
- Absorbing boundary conditions for a wave equation with a temperature-dependent speed of sound. Journal of Computational Acoustics 21 (02), 2013, 1250028 mehr…
- 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 mehr…
- 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 (05), 2013, 803--838 mehr…
- 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 mehr…
- 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 mehr…
- Multi-point 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 mehr…
2012
- Numerical scheme for coupling two-phase compositional porous-media flow and one-phase compositional free flow. IMA J. Appl. Math. 6 (77), 2012, 887-909 mehr…
- A Reduced Basis Method for Parametrized Variational Inequalities. SIAM J. Numer. Anal. 50, 2012, 2656–2676 mehr…
- Solving dynamic contact problems with local refinement in space and time. Comput. Meth. Appl. Mech. Eng. 201-204, 2012, 25-41 mehr…
- Equilibration techniques for solving contact problems with Coulomb friction. Comput. Meth. Appl. Mech. Eng. 205-208, 2012, 29-45 mehr…
- Quasi-optimal approximation of surface based Lagrange multipliers in finite element methods. SIAM J. Numer. Anal. 50, 2012, 2064--2087 mehr…
- A geometric space-time multigrid algorithm for the heat equation. Numerical Mathematics: Theory, Methods and Applications (NM-TMA) 5 (1), 2012, 110–130 mehr…
- Dual quadratic mortar finite element methods for 3D finite deformation contact. SIAM J. Sci. Comput. 34 (4), 2012, B421-B446 mehr…
- Finite element analysis and algorithms for single-crystal strain-gradient plasticity. International Journal for Numerical Methods in Engineering 90 (6), 2012, 784--804 mehr…
- Self-adapting absorbing boundary conditions for the wave equation. Wave Motion 49 (4), 2012, 461-473 mehr…
- A multi-time stepping integration method for the ultrasonic heating problem. ZAMM 92, 2012, 869-881 mehr…
- An abstract framework for a priori estimates for contact problems in 3D with quadratic finite elements. Comput. Mech. 49 (6), 2012, 735-747 mehr…
2011
- A two-scale operator-splitting method for two-phase flow in porous media. Advances in Water Resources 34 (12), 2011, 1581-1596 mehr…
- Convergence of the multipoint flux approximation L-method for homogeneous media on uniform grids. Numerical Methods Partial Differential Equations 27 (2), 2011, 329-350 mehr…
- FE-Modellierung von faserverstärkten Kunststoff-Strukturen: Experimentelle Validierung. Proceedings of the NAFEMS Seminar Progress in Simulating Composites, 2011 mehr…
- Non-matching Grids for a flexible Discretization in Computational Acoustics. Commun. Comput. Phys. 11 (2), 2011, 472-488 mehr…
- A Reduced Basis Method for the Simulation of American Options. In: Numerical Mathematics and Advanced Applications 2011. Springer, 2011, 821--829 mehr…
- From face to element unknowns by local static condensation with application to nonconforming finite elements. Preprint HAL, 2011, mehr…
- Hindernis- und Kontaktprobleme – 7. In: Facettenreiche Mathematik: Einblicke in die moderne mathematische Forschung. Vieweg+Teubner Verlag, 2011, 127-146 mehr…
- A new approach for phase transitions in miscible multi-phase flow in porous media. Advances in Water Resources 34 (8), 2011, 957-966 mehr…
- A coupling concept for two-phase compositional porous-medium and single-phase compositional free flow. Water Resources Research 47 (10), 2011 mehr…
- A Primal-Dual Finite Element Approximation for a Nonlocal Model in Plasticity. SIAM J. Numer. Anal. 49 (2), 2011, 692-710 mehr…
- Variationally consistent discretization schemes and numerical algorithms for contact problems. Acta Numerica 20, 2011, 569-734 mehr…
2010
- The equivalence of standard and mixed finite element methods in applications to elasto-acoustic interaction. SIAM J. Sci. Comput. 32 (4), 2010, 1980–2006 mehr…
- Numerical techniques for the valuation of basket options and its greeks. J. Comput. Fin 13 (4), 2010, 1--31 mehr…
- Semismooth Newton methods for variational problems with inequality constraints. GAMM-Mitteilungen 33 (1), 2010, 8--24 mehr…
- Enhanced finite element scheme for vibrational and flow induced sound. IOP Conference Series: Materials Science and Engineering, 2010 mehr…
- Optimal a priori estimates for higher order finite elements for elliptic interface problems. Applied numerical mathematics 60 (1-2), 2010, 19--37 mehr…
- Applications of the Mortar Finite Element Method in Vibroacoustics and Flow Induced Noise Computations. Acta Acustica united with Acustica 96 (3), 2010, 536-553(18) mehr…
- A Posteriori Error Estimator for Obstacle Problems. SIAM J. Sci. Comput. 32 (5), 2010, 2627-2658 mehr…
2009
- A stable Lagrange multiplier space for stiff interface conditions within the extended finite element method. Internat. J. Numer. Methods Engrg. 78, 2009, 931--954 mehr…
- An overlapping domain decomposition method for the simulation of elastoplastic incremental forming processes. Internat. J. Numer. Methods Engrg. 77, 2009, 1224--1246 mehr…
- Geometrical interpretation of the multi-point flux approximation L-method. Internat. J. Numer. Methods Fluids 60 (11), 2009, 1173--1199 mehr…
- A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction. M2AN Math. Model. Numer. Anal. 43, 2009, 487--506 mehr…
- A Simplified Method for Upscaling Composite Materials with High Contrast of the Conductivity. SIAM Journal on Scientific Computing 31 (4), 2009, 2568-2586 mehr…
- Analysis of a space-time discretization for dynamic elasticity problems based on mass-free surface elements. SIAM J. Numer. Anal. 47 (3), 2009, 1863-1885 mehr…
- Nonlinear complementarity functions for plasticity problems with frictional contact. Comput. Methods Appl. Mech. Engrg. 198, 2009, 3411-3427 mehr…
- Variational inequalities for modeling flow in heterogeneous porous media with entry pressure. Comput. Geosci. 13, 2009, 373--390 mehr…
- Thermo-mechanical contact problems on non-matching meshes. Comput. Methods Appl. Mech. Engrg. 198, 2009, 1338--1350 mehr…
- Optimal Convergence of Higher Order Finite Element Methods for Elliptic Interface Problems. 2009 mehr…
- Sparse grid meta-models for model updating. Proceedings of the IMAC XXVII Conference, Orlando, Fl, 2009 mehr…
- A posteriori error estimator and error control for contact problems. Math. Comp. 78, 2009, 1237-1267 mehr…
2008
- Contact analysis and overlapping domain decomposition methods for dynamic and nonlinear problems. brunssen08 (anderer Eintrag) mehr…
- Simulation of elastoplastic forming processes using overlapping domain decomposition and inexact Newton methods. Symposium on theoretical, computational and modelling aspects of inelastc media (IUTAM Bookseries), Springer, 2008 mehr…
- The influence of the boundary discretization on the multipoint flux approximation L-method. Finite Volumes for Complex Applications V (Problems & Perspectives), Wiley, 2008 mehr…
- A two-scale operator splitting for flow problems in porous media. Proceedings of ECMOR XI, 2008 mehr…
- A stable energy conserving approach for frictional contact problems based on quadrature formulas. Intern. J. Numer. Methods Engrg. 73, 2008, 205-225 mehr…
- Energy-consistent corotational schemes for frictional contact problems. SIAM J. Sci. Comp. 30, 2008, 2488-2511 mehr…
- A primal-dual active set algorithm for three-dimensional contact problems with Coulomb friction. SIAM J. Sci. Comput. 30, 2008, 572-596 mehr…
- An a posteriori error estimator for the Lamé equation based on H(div)-conforming stress approximations. IMA J. Numer. Anal. 28, 2008, 331-353 mehr…
- Energy conserving algorithms for a corotational formulation. SIAM J. Num. Anal. 46, 2008, 1842-1866 mehr…
2007
- An elastoplastic coupling algorithm for the simulation of incremental metal forming processes. Computational Methods for Coupled Problems in Science and Engineering II, CIMNE, 2007 mehr…
- Contact dynamics with Lagrange multipliers. Computational methods in contact mechanics (IUTAM Bookseries), Springer, 2007 mehr…
- 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 mehr…
- Locking-free finite element methods for linear and nonlinear elasticity in 2D and 3D. Comput. Meth. Appl. Mech. Engrg. 196, 2007, 4075-4086 mehr…
- Elasto-Akustik-Kopplung auf nichtkonformen Gittern. Proceedings of the DAGA, Stuttgart, 2007 mehr…
- DUMUX: a multi-scale multi-physics toolbox for flow and transport processes in porous media. ECCOMAS Thematic Conference on Multiscale Computational Methods for Solids and Fluids, 2007 mehr…
- Stable Lagrange multipliers for quadrilateral meshes of curved interfaces in 3D. Comput. Methods Appl. Mech. Engrg. 196, 2007, 1589--1602 mehr…
- Nonconforming methods for nonlinear elasticity problems. In: Domain Decomposition Methods in Science and Engineering XVI. Springer, 2007, 65--76 mehr…
- A mortar based contact formulation for non-linear dynamic problems using dual Lagrange multipliers. Computational Plasticity IX (1), CIMNE, 2007 mehr…
- Dynamic capillary effects in heterogeneous porous media. Comput. Geosci. 11, 2007, 261-274 mehr…
- Efficient algorithms for problems with friction. SIAM J. Sci. Comput. 29, 2007, 70-92 mehr…
- A stabilized integration method for frictional dynamic contact problems. Computational Plasticity IX, CIMNE, 2007 mehr…
- Dual-primal iterative substructuring methods for almost incompressible elasticity. Domain Decomposition Methods in Science and Engineering, Springer, Berlin, 2007 mehr…
- Sparse grid surrogate functions for nonlinear systems with parameter uncertainty. Proceedings of the 1st International Conference on Uncertainty in Structural Dynamics, 2007 mehr…
- Biorthogonal Bases with Local Support and Approximation Properties. Math. Comp. 76, 2007, 233-249 mehr…
- Unilateral non-linear dynamic contact of thin-walled structures using a primal-dual active set strategy. Int. J. Numer. Meth. Engng. 70, 2007, 883 - 912 mehr…
- An a Posteriori Error Estimator for Two-Body Contact Problems on Non-Matching Meshes. J. Sci. Comp. 33, 2007, 25-45 mehr…
2006
- Conditions for equivalence between the Hu--Washizu and related formulations, and computational behavior in the incompressible limit. Comp. Meth. Appl. Mech. Engrg. 195, 2006, 4161-4178 mehr…
- Multilevel numerical algorithms and Experiments for contact dynamics. In: Multifield problems in solid and fluid mechanics. Springer, 2006, 272-319 mehr…
- Finite-Elemente-Verfahren zur präzisen numerischen Berechnung von Schallentstehung und Ausbreitung. Proceedings of the DAGA, Braunschweig, 2006 mehr…
- Elasto-acoustic and acoustic-acoustic coupling on non-matching grids. Internat. J. Numer. Methods Engrg. 67, 2006, 1791--1810 mehr…
- Nonconforming Discretization Techniques for Coupled Problems. In: Multifield problems in solid and fluid mechanics. Springer, 2006, 531--560 mehr…
- Mortar methods for contact problems. In: Analysis and Simulation of Contact Problems. Springer, 2006, 39-47 mehr…
- Fuzzy arithmetic based on dimension-adaptive sparse grids: a case study of a large-scale finite element model under uncertain parameters. Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 14, 2006, 561-577 mehr…
- Constructing dimension-adaptive sparse grid interpolants using parallel function evaluations. Parallel Process. Lett. 16, 2006, 407-418 mehr…
- Construction of Hierarchical Polynomial Sparse Grid Interpolants using the Fast Discrete Cosine Transform, IANS preprint 2006/007. University of Stuttgart, 2006, mehr…
- Sparse Grid Interpolation Toolbox -- User's Guide. Universität Stuttgart, 2006, mehr…
- Uncertainty modeling using fuzzy arithmetic and sparse grids. Kli06 (anderer Eintrag) mehr…
- Convergence in the incompressible limit of finite element approximations based on the Hu--Washizu formulation. Numer. Math. 104, 2006, 151-175 mehr…
- On estimating frequency response function envelopes using the spectral element method and fuzzy sets. Int. J. of Sound and Vibration 291 (3--5), 2006, 986--1003 mehr…
2005
- A primal-dual active set strategy for elastoplastic contact problems in the context of metal forming processes. Computational Plasticity VIII, CIMNE, 2005 mehr…
- A new dual mortar method for curved interfaces: 2D elasticity. Internat. J. Numer. Methods Engrg. 63, 2005, 813--832 mehr…
- Scalar and vector potentials' coupling on nonmatching grids for the simulation of an electromagnetic brake. COMPEL 24, 2005, 1061-1070 mehr…
- Mortar methods with curved interfaces. Appl. Numer. Math. 54, 2005, 339--361 mehr…
- A priori error estimates and an inexact primal-dual active set strategy for linear and quadratic finite elements applied to multibody contact problems. Appl. Numer. Math. 54, 2005, 555-576 mehr…
- A mixed variational formulation and an optimal a priori error estimate for a frictional contact problem in elasto-piezoelectricity. Bull. Math. Soc. Sc. Math. Roumanie 48, 2005, 209-232 mehr…
- A primal-dual active set strategy for non-linear multibody contact problems. Comput. Methods Appl. Mech. Engrg. 194, 2005, 3147-3155 mehr…
- An optimal a priori error estimate for nonlinear multibody contact problems. SIAM Journal on Numerical Analysis 43 (1), 2005, 156--173 mehr…
- Piecewise multilinear hierarchical sparse grid interpolation in \textscMatlab. ACM Trans. Math. Software. 31, 2005, 561-579 mehr…
- Computing expensive multivariate functions of fuzzy numbers using sparse grids. Fuzzy Sets and Systems 154, 2005, 432--453 mehr…
- Higher Order Mortar Finite Element Methods in 3D with Dual Lagrange Multiplier Bases. Numer. Math. 102, 2005, 93--121 mehr…
- A V cycle multigrid approach for mortar finite elements. SIAM J. Numer. Anal. 42, 2005, 2476--2495 mehr…
2004
- Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods. J. Numer. Math. 12, 2004, 347--357 mehr…
- Coupling scalar and vector potentials on non-matching grids for eddy currents modelling in moving conductors. J. Comput. Appl. Math. 168, 2004, 192--295 mehr…
- Nonconforming discretization techniques for overlapping domain decompositions. Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2003, Springer, 2004 mehr…
- A domain decomposition method on nested domains and nonmatching grids. Numer. Methods Partial Differ. Equations 20, 2004, 374--387 mehr…
- A comparison of mortar and Nitsche techniques for linear elasticity. CALCOLO 41, 2004, 115-137 mehr…
- On the reliability of the influence measure in the transformation method of fuzzy arithmetic. Fuzzy Sets and Systems 143 (3), 2004, 277--289 mehr…
- Uncertainty modeling using fuzzy arithmetic based on sparse grids: applications to dynamic systems. Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 12, 2004, 745-759 mehr…
- Efficient fuzzy arithmetic for nonlinear functions of modest dimension using sparse grids. IEEE International Conference on Fuzzy Systems 2004, 2004 mehr…
- Mortar Finite Elements for Interface Problems. Computing 72, 2004, 333--348 mehr…
- Mortar Finite Elements with Dual Lagrange Multipliers: Some Applications. Fifteenth International Conference on Domain Decomposition Methods, 2004 mehr…
- A quasi-dual Lagrange multiplier space for Serendipity Mortar finite elements in 3D. M2AN Math. Model. Numer. Anal. 38, 2004, 73-92 mehr…
- A local a posteriori error estimator based on equilibrated fluxes. SIAM J. Numer. Anal. 42, 2004, 1394-1414 mehr…
- A domain decomposition method for domains with holes using a complementary decomposition. Comp. Meth. Appl. Mech. Engrg. 193 (45-47), 2004, 4961-4978 mehr…
- Mehrgittermethoden zu elliptischen Randwertproblemen bei nicht aufgeloestem Dirichlet-Neumann Uebergang. Diploma thesis, 2004 mehr…
2003
- Convergence of a Contact-Neumann Iteration for the Solution of Two-Body Contact Problems. Math. Models Methods Appl. Sci. 13, 2003, 1103-1118 mehr…
- Piecewise multilinear sparse grid interpolation in MATLAB, IANS report 2003/019. University of Stuttgart, 2003, mehr…
- An efficient implementation of the transformation method of fuzzy arithmetic (extended preprint version), IANS Preprint 2003/009. University of Stuttgart, 2003, mehr…
- Randexpr - a random symbolic expression generator, IANS report 2003/004. University of Stuttgart, 2003, mehr…
- How to access Matlab from Java, IANS report 2003/005. University of Stuttgart, 2003, mehr…
- An efficient implementation of the transformation method of fuzzy arithmetic. Proceedings of NAFIPS 2003, 2003 mehr…
- Mortar element coupling between global scalar and local vector potentials to solve Eddy current problems. Numerical Mathematics and Advanced Applications, Proceedings of ENUMATH 2001, 2003 mehr…
- Duality estimates and multigrid analysis for saddle point problems arising from mortar discretizations. SIAM J. Sci. Comput. 24, 2003, 2163--2184 mehr…
- Monotone methods on non-matching grids for non linear contact problems. SIAM J. Sci. Comput. 25, 2003, 324-347 mehr…
2002
- Bestimmung von Eigenwertschranken von Eigenwertproblemen mit unstetigen Koeffizienten durch eine Finite Element Methode. Diploma thesis, 2002 mehr…
- Simulierte Welten - die Zukunft im Rechner. 2002 mehr…
- A Dirichlet-Neumann type algorithm for contact problems with friction. Comput. Vis. Sci. 5, 2002, 139-148 mehr…
- Higher Order Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations. CALCOLO 39, 2002, 219-237 mehr…
- Coupling between scalar and vector potentials by the mortar element method. C. R. Math. Acad. Sci. Paris 334, 2002, 933-938 mehr…
- Gebietszerlegung und Homotopie-Methode zur Berechnung von Eigenwertschranken. Diploma thesis, 2002 mehr…
- On polynominal reproduction of dual FE bases. Domain Decomposition Methods in Science and Engineering, CIMNE, 2002Thirteenth International Conference on Domain DecompositionMethods, Lyon, France mehr…
- A Comparison of Dual Lagrange Multiplier Spaces for Mortar Finite Element Discretizations. M2AN Math. Model. Numer. Anal. 36, 2002, 995-1012 mehr…
2001
- The alternating Schwarz method: Mathematical foundation and parallel implementation. master thesis, 2001 mehr…
- Domain decomposition methods on nonmatching grids and some applications to linear elasticity. ZAMM 81, 2001, 21--24 mehr…
- The Influence of Quadrature Formulas in 2D and 3D Mortar Element Methods. Lect. Notes Comput. Sci. Eng. 23, 2001, 203-221 mehr…
- On residual-based a-posteriori error estimation in $hp$-FEM. Adv. Comput. Math. 15, 2001, 311-331 mehr…
- Discretization Techniques and Iterative Solvers Based on Domain Decomposition. Band 17. Springer, Heidelberg, 2001 mehr…
- Multigrid Methods Based on the Unconstrained Product Space for Mortar Finite Element Discretizations. SIAM J. Numer. Anal. 39, 2001, 192--213 mehr…
2000
- Hierarchical error estimator for eddy current computation. Proc. 2nd European Conference on Numerical Methods and Advanced Applications, World Scientific, Singapore, 2000ENUMATH 99, Jyväskylä, July 26 - 30, 1999 mehr…
- Residual based a posteriori error estimators for eddy current computation. M2AN Math. Model. Numer. Anal. 34, 2000, 159-182 mehr…
- Adaptive finite element methods for domain decomposition on nonmatching grids. Parallel solution of partial differential equations (Minneapolis, MN, 1997) (IMA Vol. Math. Appl.), Springer, 2000 mehr…
- Nonconforming domain decomposition techniques for linear elasticity. East-West J. Numer. Math. 8, 2000, 177--206 mehr…
- Multigrid methods for mortar finite elements. In: Multigrid methods, VI (Gent, 1999). Springer, 2000, 136--142 mehr…
- An iterative substructuring method for Maxwell′s equations in two dimensions. Math. Comp. 70, 2000, 935-949 mehr…
- Multigrid methods for saddlepoint problems arising from mortar finite element discretizations. Electron. Trans. Numer. Anal. 11, 2000, 43-54 mehr…
- A mortar finite element method using dual spaces for the Lagrange multiplier. SIAM J. Numer. Anal. 38, 2000, 989-1012 mehr…
- An Iterative Substructuring Method for Raviart--Thomas Vector Fields in Three Dimensions. SIAM J. Numer. Anal. 37, 2000, 1657--1676 mehr…
1999
- Adaptive multilevel methods for edge element discretizations of Maxwell′s equations. Surv. Math. Ind. 8, 1999, 271--312 mehr…
- Mortar finite element methods for discontinuous coefficients. ZAMM Z. Angew. Math. Mech. 79, 1999, 151-154 mehr…
- Hierarchical A Posteriori Error Estimators for Mortar Finite Element Methods with Lagrange Multipliers. SIAM J. Numer. Anal. 36, 1999, 1636--1658 mehr…
- A residual based estimator for mortar finite element discretizations. Numer. Math 84, 1999, 143--171 mehr…
- A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart--Thomas elements. Math. Comp. 68, 1999, 1347-1378 mehr…
- A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart--Thomas elements. Math. Comp. 68, 1999, 1347-1378 mehr…
1998
- The coupling of mixed and conforming finite element discretizations. Contemporary Mathematics, 1998 mehr…
- Adaptive macro--hybrid finite element methods. Proc. 2nd European Conference on Numerical Methods, World Scientific, Singapore, 1998 mehr…
- Adaptive mixed hybrid and macro--hybrid finite element methods. Acta Math. Univ. Comenianae 67, 1998, 159--179 mehr…
- Analysis and parallel implementation of adaptive mortar finite element methods. East--West J. of Numer. Math. 6, 1998, 223--248 mehr…
- Error estimators for mortar finite element discretizations. ZAMM Z. Angew. Math. Mech. 78, 1998, 1133-1134 mehr…
1997
- Multilevel iterative solution and adaptive mesh refinement for mixed finite element discretizations. Appl. Num. Math. 23, 1997, 97--117 mehr…
- Adaptive multilevel techniques for mixed finite element discretizations of elliptic boundary value problems. SIAM J. Numer. Anal. 34, 1997, 1658--1681 mehr…
- Hierarchical basis error estimators for Raviart-Thomas Discretizations of arbitrary order. Proc. Conf. \em Finite Element Methods: Superconvergence, Post-processing and A Posteriori Estimates, Marcel Dekker, New York, 1997 mehr…
1996
1995
- Coupling problems in microelectronic device simulation. Notes on Numerical Fluid Mechanics, Vieweg, 1995 mehr…
- Adaptive multilevel iterative techniques for nonconforming finite element discretizations. East-West J. Numer. Math. 3, 1995, 179--197 mehr…
- Efficient numerical solution of mixed finite element discretizations by adaptive multilevel methods. Appl. Math. 40, 1995, 227-248 mehr…
- Adaptive multilevel methods for nonconforming finite element discretizations. ZAMM Z. Angew. Math. Mech. 75, 1995, 717-718 mehr…
1994
- Multilevel Approaches to nonconforming finite element discretizations of linear second order elliptic boundary value problems. J. of Computing and Information 4, 1994, 73--86 mehr…