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Papers in Advanced Numerical Methods in Computational Mathematics 161

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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
Gradient flow finite element discretizations with energy-based adaptivity for the Gross-Pitaevskii equation
2021 Journal of Computational Physics article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Pascal Heid, Benjamin Stamm, Thomas P. Wihler

36

citations
Finite Element Discretization Methods for Velocity-Pressure and Stream Function Formulations of Surface Stokes Equations
2022 SIAM Journal on Scientific Computing article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Thomas Jankuhn, Simon Praetorius, Arnold Reusken, Axel Voigt

36

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
Complexity Analysis of stochastic gradient methods for PDE-constrained optimal Control Problems with uncertain parameters
2021 ESAIM Mathematical Modelling and Numerical Analysis article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Matthieu Martin, Sebastian Krumscheid, Fabio Nobile

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
A Newmark space-time formulation in structural dynamics
2021 Computational Mechanics article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Franz Bamer, Nima Shirafkan, Xiaodan Cao, Abdelbacet Oueslati, Marcus Stoffel, Géry de Saxcé, +1 more

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
Coupling 2D continuum and beam elements: a mixed formulation for avoiding spurious stresses
2022 Computational Mechanics article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Simon Klarmann, Jens Wackerfuß, Sven Klinkel

17

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
Time‐continuous and time‐discontinuous space‐time finite elements for advection‐diffusion problems
2023 International Journal for Numerical Methods in Engineering article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Max von Danwitz, Igor Voulis, Norbert Hosters, Marek Behr

16

citations
Four‐dimensional elastically deformed simplex space‐time meshes for domains with time‐variant topology
2021 International Journal for Numerical Methods in Fluids article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Max von Danwitz, Patrick Antony, Fabian Key, Norbert Hosters, Marek Behr

15

citations
Stabilized finite element methods for a fully-implicit logarithmic reformulation of the Oldroyd-B constitutive law
2022 Journal of Non-Newtonian Fluid Mechanics article Engineering Advanced Numerical Methods in Computational Mathematics

Stefan Wittschieber, Leszek Demkowicz, Marek Behr

15

citations
Implicit-explicit Schemes for Incompressible Flow Problems with Variable Viscosity
2024 SIAM Journal on Scientific Computing article Engineering Advanced Numerical Methods in Computational Mathematics

Gabriel R. Barrenechea, Ernesto F. Castillo, Douglas R. Q. Pacheco

14

citations
Analysis of optimal preconditioners for CutFEM
2022 Numerical Linear Algebra with Applications article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Sven Groß, Arnold Reusken

13

citations
fenicsR13: A Tensorial Mixed Finite Element Solver for the Linear R13 Equations Using the FEniCS Computing Platform
2021 ACM Transactions on Mathematical Software article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Lambert Theisen, Manuel Torrilhon

13

citations
On the stability of mixed polygonal finite element formulations in nonlinear analysis
2023 International Journal for Numerical Methods in Engineering article Engineering Advanced Numerical Methods in Computational Mathematics Open access

Bjorn Sauren, Sven Klinkel

11

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
An accurate and robust Eulerian finite element method for partial differential equations on evolving surfaces
2023 Computers & Mathematics with Applications article Engineering Advanced Numerical Methods in Computational Mathematics

Hauke Sass, Arnold Reusken

10

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