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Papers in Advanced Numerical Methods in Computational Mathematics 22

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A Selection of Benchmark Problems in Solid Mechanics and Applied Mathematics
2020 Archives of Computational Methods in Engineering article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Jörg Schröder, Thomas Wick, Stefanie Reese, Peter Wriggers, Ralf Müller, Stefan Kollmannsberger, +19 more

81

citations
Arbitrary Lagrangian–Eulerian finite element method for curved and deforming surfaces
2020 Journal of Computational Physics article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Amaresh Sahu, Yannick A. D. Omar, Roger A. Sauer, Kranthi Kiran Mandadapu

50

citations
Dynamic load balancing for direct-coupled multiphysics simulations
2020 Computers & Fluids article Engineering Advanced Numerical Methods in Computational Mathematics

Ansgar Niemöller, Michael Schlottke‐Lakemper, Matthias H. Meinke, Wolfgang Schröder

37

citations
A multi-vector interface quasi-Newton method with linear complexity for partitioned fluid–structure interaction
2020 Computer Methods in Applied Mechanics and Engineering article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Thomas Spenke, Norbert Hosters, Marek Behr

32

citations
Adjoint-based anisotropic hp-adaptation for discontinuous Galerkin methods using a continuous mesh model
2020 Journal of Computational Physics article Engineering Advanced Numerical Methods in Computational Mathematics

Ajay Mandyam Rangarajan, Georg May, Vít Dolejší

27

citations
Inf-sup stability of the trace 𝐏₂–𝐏₁ Taylor–Hood elements for surface PDEs
2020 Mathematics of Computation article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov

24

citations
Error analysis of higher order Trace Finite Element Methods for the surface Stokes equation
2020 Journal of Numerical Mathematics article Engineering Advanced Numerical Methods in Computational Mathematics

Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov

23

citations
Guaranteed a posteriori bounds for eigenvalues and eigenvectors: Multiplicities and clusters
2020 Mathematics of Computation article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Éric Cancès, Geneviève Dusson, Yvon Maday, Benjamin Stamm, Martin Vohralı́k

23

citations
Finite element error analysis of surface Stokes equations in stream function formulation
2020 ESAIM Mathematical Modelling and Numerical Analysis article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Arnold Reusken

16

citations
Numerical simulation of elastoplastic problems by Brezis–Ekeland–Nayroles non-incremental variational principle
2020 Computational Mechanics article Engineering Advanced Numerical Methods in Computational Mathematics

Xiaodan Cao, Abdelbacet Oueslati, An Danh Nguyen, Géry de Saxcé

11

citations
Variational convergence of discrete elasticae
2020 IMA Journal of Numerical Analysis article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Sebastian Scholtes, H. Ralph Schumacher, Max Wardetzky

10

citations
Finite-element formulation for advection–reaction equations with change of variable and discontinuity capturing
2020 Computer Methods in Applied Mechanics and Engineering article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Stefan Thomas Haßler, Anna Maria Ranno, Marek Behr

9

citations
A Residual Based A Posteriori Error Estimators for AFC Schemes for Convection-Diffusion Equations
2020 arXiv (Cornell University) preprint Engineering Advanced Numerical Methods in Computational Mathematics Open access

Abhinav Jha

8

citations
Combining boundary‐conforming finite element meshes on moving domains using a sliding mesh approach
2020 International Journal for Numerical Methods in Fluids article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Jan Helmig, Fabian Key, Marek Behr, Stefanie Elgeti

7

citations
Efficient solution techniques for two-phase flow in heterogeneous porous media using exact Jacobians
2020 Computational Geosciences article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Henrik Büsing

6

citations
A Novel Approach to Fluid-Structure Interaction Simulations Involving Large Translation and Contact
2020 Lecture notes in computational science and engineering conference-paper Engineering Advanced Numerical Methods in Computational Mathematics Open access

Norbert Hosters, Fabian Key, Stefanie Elgeti, Marek Behr

4

citations
Optimal approximation spaces for discontinuous Petrov-Galerkin finite element methods
2020 arXiv (Cornell University) preprint Engineering Advanced Numerical Methods in Computational Mathematics Open access

Ankit Chakraborty, Ajay Mandyam Rangarajan, Georg May

3

citations
Error analysis of higher order trace finite element methods for the surface Stokes equations
2020 arXiv (Cornell University) preprint Engineering Advanced Numerical Methods in Computational Mathematics Open access

Thomas Jankuhn, Maxim A. Olshanskii, Arnold Reusken, Alexander Zhiliakov

2

citations
On particles and splines in bounded domains
2020 ESAIM Mathematical Modelling and Numerical Analysis article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Matthias Kirchhart

1

citations
Multilevel preconditioning of stabilized unfitted finite element discretizations
2020 RWTH Publications (RWTH Aachen) dissertation Engineering Advanced Numerical Methods in Computational Mathematics Open access

1

citations
A parameter-dependent smoother for the multigrid method
2020 arXiv (Cornell University) preprint Engineering Advanced Numerical Methods in Computational Mathematics Open access

Lars Grasedyck, Maren Klever, Christian Löbbert, Tim A. Werthmann

0

citations
Analysis of finite element methods for surface vector-Laplace eigenproblems
2020 arXiv (Cornell University) preprint Engineering Advanced Numerical Methods in Computational Mathematics Open access

Arnold Reusken

0

citations

22 results