Barbara I. Wohlmuth

J. Comput. Phys., January, 2024

Analysis of a Dilute Polymer Model with a Time-Fractional Derivative.

[BibT_eX]

[DOI]

Marvin Fritz

Endre Süli

SIAM J. Math. Anal., 2024

Numerical simulation of individual coil placement - A proof-of-concept study for the prediction of recurrence after aneurysm coiling.

[BibT_eX]

[DOI]

Tobias Boeckh-Behrens

Jan Kirschke

CoRR, 2024

Finite elements for Matérn-type random fields: Uncertainty in computational mechanics and design optimization.

[BibT_eX]

[DOI]

CoRR, 2024

A lattice Boltzmann method for non-Newtonian blood flow in coiled intracranial aneurysms.

[BibT_eX]

[DOI]

CoRR, 2024

A Comprehensive Numerical Approach to Coil Placement in Cerebral Aneurysms: Mathematical Modeling and In Silico Occlusion Classification.

[BibT_eX]

[DOI]

Fabian Holzberger

Markus Muhr

CoRR, 2024

Numerical simulation of endovascular treatment options for cerebral aneurysms.

[BibT_eX]

[DOI]

CoRR, 2024

2023

A Matrix-Free ILU Realization Based on Surrogates.

[BibT_eX]

[DOI]

Andreas Wagner

SIAM J. Sci. Comput., June, 2023

A Semi Matrix-Free Twogrid Preconditioner for the Helmholtz Equation with Near Optimal Shifts.

[BibT_eX]

[DOI]

J. Sci. Comput., June, 2023

On the Convergence of Learning Algorithms in Bayesian Auction Games.

[BibT_eX]

[DOI]

CoRR, 2023

Abstract Fractional Cauchy Problem: Existence of Propagators and Inhomogeneous Solution Representation.

[BibT_eX]

[DOI]

Dmytro Sytnyk

CoRR, 2023

Exponentially Convergent Numerical Method for Abstract Cauchy Problem with Fractional Derivative of Caputo Type.

[BibT_eX]

[DOI]

Dmytro Sytnyk

CoRR, 2023

A phase-field model for non-small cell lung cancer under the effects of immunotherapy.

[BibT_eX]

[DOI]

CoRR, 2023

2022

Block low-rank single precision coarse grid solvers for extreme scale multigrid methods.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2022

Elasto-acoustic modeling and simulation for the seismic response of structures: The case of the Tahtalı dam in the 2020 I˙zmir earthquake.

[BibT_eX]

[DOI]

J. Comput. Phys., 2022

Determining kernels in linear viscoelasticity.

[BibT_eX]

[DOI]

J. Comput. Phys., 2022

Resiliency in numerical algorithm design for extreme scale simulations.

[BibT_eX]

[DOI]

Int. J. High Perform. Comput. Appl., 2022

Risk-averse design of tall buildings for uncertain wind conditions.

[BibT_eX]

[DOI]

CoRR, 2022

A 1D-0D-3D coupled model for simulating blood flow and transport processes in breast tissue.

[BibT_eX]

[DOI]

CoRR, 2022

Time-fractional Cahn-Hilliard equation: Well-posedness, degeneracy, and numerical solutions.

[BibT_eX]

[DOI]

Marvin Fritz

Mabel L. Rajendran

Comput. Math. Appl., 2022

2021

Determining kernels in linear viscoelasticity.

[BibT_eX]

[DOI]

Barbara Kaltenbacher

Rajendran Mabel Lizzy

CoRR, 2021

Elasto-acoustic modelling and simulation for the seismic response of structures: The case of the Tahtalı dam in the 2020 İzmir earthquake.

[BibT_eX]

[DOI]

CoRR, 2021

Alpine Permafrost Modeling: On the influence of topography driven lateral fluxes.

[BibT_eX]

[DOI]

CoRR, 2021

Learning the structure of wind: A data-driven nonlocal turbulence model for the atmospheric boundary layer.

[BibT_eX]

[DOI]

CoRR, 2021

Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy.

[BibT_eX]

[DOI]

Marvin Fritz

CoRR, 2021

Semi matrix-free twogrid shifted Laplacian preconditioner for the Helmholtz equation with near optimal shifts.

[BibT_eX]

[DOI]

CoRR, 2021

Solving time-fractional differential equation via rational approximation.

[BibT_eX]

[DOI]

CoRR, 2021

A hybrid discontinuous Galerkin method for nonlinear elasto-acoustic coupling.

[BibT_eX]

[DOI]

Markus Muhr

CoRR, 2021

Multidimensional coupling: A variationally consistent approach to fiber-reinforced materials.

[BibT_eX]

[DOI]

CoRR, 2021

2020

TerraNeo - Mantle Convection Beyond a Trillion Degrees of Freedom.

[BibT_eX]

[DOI]

Proceedings of the Software for Exascale Computing - SPPEXA 2016-2019, 2020

Stencil Scaling for Vector-Valued PDEs on Hybrid Grids With Applications to Generalized Newtonian Fluids.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2020

A Statistical Framework for Generating Microstructures of Two-Phase Random Materials: Application to Fatigue Analysis.

[BibT_eX]

[DOI]

Andrei Constantinescu

Patrick Le Tallec

J. Tinsley Oden

Multiscale Model. Simul., 2020

A high-order discontinuous Galerkin method for nonlinear sound waves.

[BibT_eX]

[DOI]

J. Comput. Phys., 2020

On a subdiffusive tumour growth model with fractional time derivative.

[BibT_eX]

[DOI]

CoRR, 2020

Frontiers in Mortar Methods for Isogeometric Analysis.

[BibT_eX]

[DOI]

CoRR, 2020

The surrogate matrix methodology: Accelerating isogeometric analysis of waves.

[BibT_eX]

[DOI]

CoRR, 2020

A 3D-1D coupled blood flow and oxygen transport model to generate microvascular networks.

[BibT_eX]

[DOI]

Ettore Vidotto

CoRR, 2020

2019

The Surrogate Matrix Methodology: A Priori Error Estimation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2019

A Priori Error Estimates for the Finite Element Approximation of Westervelt's Quasi-linear Acoustic Wave Equation.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2019

Hybrid Models for Simulating Blood Flow in Microvascular Networks.

[BibT_eX]

[DOI]

Multiscale Model. Simul., 2019

Analysis of Boundary Effects on PDE-Based Sampling of Whittle-Matérn Random Fields.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2019

Large-scale simulation of mantle convection based on a new matrix-free approach.

[BibT_eX]

[DOI]

J. Comput. Sci., 2019

Self-adaptive absorbing boundary conditions for quasilinear acoustic wave propagation.

[BibT_eX]

[DOI]

Markus Muhr

J. Comput. Phys., 2019

Adaptive control in roll-forward recovery for extreme scale multigrid.

[BibT_eX]

[DOI]

Markus Huber

Int. J. High Perform. Comput. Appl., 2019

The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis.

[BibT_eX]

[DOI]

CoRR, 2019

Stencil scaling for vector-valued PDEs with applications to generalized Newtonian fluids.

[BibT_eX]

[DOI]

CoRR, 2019

Goal-oriented adaptive modeling of random heterogeneous media and model-based multilevel Monte Carlo methods.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2019

2018

A Stencil Scaling Approach for Accelerating Matrix-Free Finite Element Implementations.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2018

On the Analysis of Block Smoothers for Saddle Point Problems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2018

Energy corrected FEM for optimal Dirichlet boundary control problems.

[BibT_eX]

[DOI]

Lorenz John

Piotr Swierczynski

Numerische Mathematik, 2018

Surface Couplings for Subdomain-Wise Isoviscous Gradient Based Stokes Finite Element Discretizations.

[BibT_eX]

[DOI]

J. Sci. Comput., 2018

Adaptive control in rollforward recovery for extreme scale multigrid.

[BibT_eX]

[DOI]

Markus Huber

CoRR, 2018

A New Matrix-Free Approach for Large-Scale Geodynamic Simulations and its Performance.

[BibT_eX]

[DOI]

Proceedings of the Computational Science - ICCS 2018, 2018

2017

Scheduling Massively Parallel Multigrid for Multilevel Monte Carlo Methods.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2017

2016

Hybrid Parallel Multigrid Methods for Geodynamical Simulations.

[BibT_eX]

[DOI]

Proceedings of the Software for Exascale Computing - SPPEXA 2013-2015, 2016

Resilience for Massively Parallel Multigrid Solvers.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

A quantitative performance study for Stokes solvers at the extreme scale.

[BibT_eX]

[DOI]

J. Comput. Sci., 2016

Mass-corrections for the conservative coupling of flow and transport on collocated meshes.

[BibT_eX]

[DOI]

J. Comput. Phys., 2016

Research and Education in Computational Science and Engineering.

[BibT_eX]

[DOI]

CoRR, 2016

A two-scale approach for efficient on-the-fly operator assembly in massively parallel high performance multigrid codes.

[BibT_eX]

[DOI]

CoRR, 2016

Numerical modeling of compensation mechanisms for peripheral arterial stenoses.

[BibT_eX]

[DOI]

Comput. Biol. Medicine, 2016

2015

Performance and Scalability of Hierarchical Hybrid Multigrid Solvers for Stokes Systems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

Reduced Basis Methods for Pricing Options with the Black-Scholes and Heston Models.

[BibT_eX]

[DOI]

SIAM J. Financial Math., 2015

Resilience for Multigrid Software at the Extreme Scale.

[BibT_eX]

[DOI]

CoRR, 2015

Resilience for Exascale Enabled Multigrid Methods.

[BibT_eX]

[DOI]

CoRR, 2015

A quantitative performance analysis for Stokes solvers at the extreme scale.

[BibT_eX]

[DOI]

CoRR, 2015

Pore-scale lattice Boltzmann simulation of laminar and turbulent flow through a sphere pack.

[BibT_eX]

[DOI]

CoRR, 2015

Large Scale Lattice Boltzmann Simulation for the Coupling of Free and Porous Media Flow.

[BibT_eX]

[DOI]

Proceedings of the High Performance Computing in Science and Engineering, 2015

A Local Error Estimate for the Poisson Equation with a Line Source Term.

[BibT_eX]

[DOI]

Ettore Vidotto

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2014

Nested Newton Strategies for Energy-Corrected Finite Element Methods.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2014

Optimal A Priori Error Estimates for an Elliptic Problem with Dirac Right-Hand Side.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2014

Local Mass-Corrections for Continuous Pressure Approximations of Incompressible Flow.

[BibT_eX]

[DOI]

Björn Gmeiner

SIAM J. Numer. Anal., 2014

Energy-Corrected Finite Element Methods for Corner Singularities.

[BibT_eX]

[DOI]

Herbert Egger

SIAM J. Numer. Anal., 2014

A new mortar formulation for modeling elastomer bedded structures with modal-analysis in 3D.

[BibT_eX]

[DOI]

Thomas Horger

Stefan Kollmannsberger

Felix Frischmann

Ernst Rank

Adv. Model. Simul. Eng. Sci., 2014

2013

Quasi-optimal A Priori Interface Error Bounds and A Posteriori Estimates for the Interior Penalty Method.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2013

Multiphysics simulations: Challenges and opportunities.

[BibT_eX]

[DOI]

Int. J. High Perform. Comput. Appl., 2013

On optimal L<sup>2</sup> - and surface flux convergence in FEM.

[BibT_eX]

[DOI]

Thomas Horger

Jens Markus Melenk

Comput. Vis. Sci., 2013

Energy-Corrected Finite Element Methods for Scalar Elliptic Problems.

[BibT_eX]

[DOI]

Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2012

Dual Quadratic Mortar Finite Element Methods for 3D Finite Deformation Contact.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2012

Quasi-Optimal Approximation of Surface Based Lagrange Multipliers in Finite Element Methods.

[BibT_eX]

[DOI]

Jens Markus Melenk

SIAM J. Numer. Anal., 2012

A Reduced Basis Method for Parametrized Variational Inequalities.

[BibT_eX]

[DOI]

Bernard Haasdonk

Julien Salomon

SIAM J. Numer. Anal., 2012

2011

A Primal-Dual Finite Element Approximation for a Nonlocal Model in Plasticity.

[BibT_eX]

[DOI]

Christian Wieners

SIAM J. Numer. Anal., 2011

Variationally consistent discretization schemes and numerical algorithms for contact problems.

[BibT_eX]

[DOI]

Acta Numer., 2011

2010

A Posteriori Error Estimator for Obstacle Problems.

[BibT_eX]

[DOI]

Alexander A. Weiss

SIAM J. Sci. Comput., 2010

The Equivalence of Standard and Mixed Finite Element Methods in Applications to Elasto-Acoustic Interaction.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2010

2009

Analysis of a Space-Time Discretization for Dynamic Elasticity Problems Based on Mass-Free Surface Elements.

[BibT_eX]

[DOI]

C. Hager

SIAM J. Numer. Anal., 2009

A posteriori error estimator and error control for contact problems.

[BibT_eX]

[DOI]

Alexander A. Weiss

Math. Comput., 2009

2008

A Primal-Dual Active Set Algorithm for Three-Dimensional Contact Problems with Coulomb Friction.

[BibT_eX]

[DOI]

Stefan Hüeber

Georg Stadler

SIAM J. Sci. Comput., 2008

Energy-Consistent CoRotational Schemes for Frictional Contact Problems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2008

Energy-Conserving Algorithms for a Corotational Formulation.

[BibT_eX]

[DOI]

Julien Salomon

Alexander A. Weiss

SIAM J. Numer. Anal., 2008

2007

Efficient Algorithms for Problems with Friction.

[BibT_eX]

[DOI]

Stefan Hüeber

Alina Matei

SIAM J. Sci. Comput., 2007

Biorthogonal bases with local support and approximation properties.

[BibT_eX]

[DOI]

Math. Comput., 2007

An a Posteriori Error Estimator for Two-Body Contact Problems on Non-Matching Meshes.

[BibT_eX]

[DOI]

J. Sci. Comput., 2007

2006

Constructing Dimension-adaptive Sparse Grid Interpolants Using Parallel Function Evaluations.

[BibT_eX]

[DOI]

Parallel Process. Lett., 2006

Convergence in the incompressible limit of finite element approximations based on the Hu-Washizu formulation.

[BibT_eX]

[DOI]

B. Daya Reddy

Numerische Mathematik, 2006

Fuzzy Arithmetic Based on Dimension-Adaptive Sparse Grids: a Case Study of a Large-Scale Finite Element Model under Uncertain Parameters.

[BibT_eX]

[DOI]

Ronaldo F. Nunes

Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2006

2005

Algorithm 847: Spinterp: piecewise multilinear hierarchical sparse grid interpolation in MATLAB.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2005

A V-cycle Multigrid Approach for Mortar Finite Elements.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2005

An Optimal A Priori Error Estimate for Nonlinear Multibody Contact Problems.

[BibT_eX]

[DOI]

Stefan Hüeber

SIAM J. Numer. Anal., 2005

Higher Order Mortar Finite Element Methods in 3D with Dual Lagrange Multiplier Bases.

[BibT_eX]

[DOI]

Rob P. Stevenson

Numerische Mathematik, 2005

Computing expensive multivariate functions of fuzzy numbers using sparse grids.

[BibT_eX]

[DOI]

Fuzzy Sets Syst., 2005

2004

A Local A Posteriori Error Estimator Based on Equilibrated Fluxes.

[BibT_eX]

[DOI]

R. Luce

SIAM J. Numer. Anal., 2004

Multilevel additive Schwarz preconditioner for nonconforming mortar finite element methods.

[BibT_eX]

[DOI]

J. Num. Math., 2004

Uncertainty Modeling Using Fuzzy Arithmetic Based On Sparse Grids: Applications To Dynamic Systems.

[BibT_eX]

[DOI]

Kai Willner

Int. J. Uncertain. Fuzziness Knowl. Based Syst., 2004

Mortar Finite Elements for Interface Problems.

[BibT_eX]

[DOI]

Computing, 2004

Efficient fuzzy arithmetic for nonlinear functions of modest dimension using sparse grids.

[BibT_eX]

[DOI]

Proceedings of the IEEE International Conference on Fuzzy Systems, 2004

2003

Monotone Multigrid Methods on Nonmatching Grids for Nonlinear Multibody Contact Problems.

[BibT_eX]

[DOI]

Rolf H. Krause

SIAM J. Sci. Comput., 2003

Duality Estimates and Multigrid Analysis for Saddle Point Problems Arising from Mortar Discretizations.

[BibT_eX]

[DOI]

Christian Wieners

SIAM J. Sci. Comput., 2003

2001

Discretization Methods and Iterative Solvers Based on Domain Decomposition.

[BibT_eX]

[DOI]

Lecture Notes in Computational Science and Engineering 17, Springer, ISBN: 978-3-642-56767-4, 2001

A Multigrid Method Based on the Unconstrained Product Space for Mortar Finite Element Discretizations.

[BibT_eX]

[DOI]

Rolf H. Krause

SIAM J. Numer. Anal., 2001

An iterative substructuring method for Maxwell's equations in two dimensions.

[BibT_eX]

[DOI]

Andrea Toselli

Olof B. Widlund

Math. Comput., 2001

On residual-based a posteriori error estimation in hp-FEM.

[BibT_eX]

[DOI]

Jens Markus Melenk

Adv. Comput. Math., 2001

2000

An Iterative Substructuring Method for Raviart-Thomas Vector Fields in Three Dimensions.

[BibT_eX]

[DOI]

Andrea Toselli

Olof B. Widlund

SIAM J. Numer. Anal., 2000

A Mortar Finite Element Method Using Dual Spaces for the Lagrange Multiplier.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2000

1999

A residual based error estimator for mortar finite element discretizations.

[BibT_eX]

[DOI]

Numerische Mathematik, 1999

A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements.

[BibT_eX]

[DOI]

Ronald H. W. Hoppe

Math. Comput., 1999

1996

Multilevel Preconditioned Augmented Lagrangian Techniques for 2ndMixed Problems.

[BibT_eX]

[DOI]

Ralf Hiptmair

Thomas Schiekofer

Computing, 1996

1992

Element oriented and edge oriented local error estimators for nonconforming finite element methods

[BibT_eX]

[DOI]

Ronald H. W. Hoppe