ESAIM: Mathematical Modelling and Numerical Analysis

Open Access

A fictitious-play finite-difference method for linearly solvable mean field games p. 1863

Daisuke Inoue, Yuji Ito, Takahito Kashiwabara, Norikazu Saito and Hiroaki Yoshida

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023026

• Abstract
• PDF (983.2 KB)
• References

Open Access

Global existence of classical solutions and numerical simulations of a cancer invasion model p. 1893

Mario Fuest, Shahin Heydari, Petr Knobloch, Johannes Lankeit and Thomas Wick

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023037

• Abstract
• PDF (7.887 MB)
• References

Open Access

A posteriori error estimation and adaptivity for multiple-network poroelasticity p. 1921

Emilie Eliseussen, Marie Elisabeth Rognes and Travis B. Thompson

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023033

• Abstract
• PDF (2.022 MB)
• References

Open Access

A second order asymptotic model for diffusion MRI in permeable media p. 1953

Marwa Kchaou and Jing-Rebecca Li

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023043

• Abstract
• PDF (3.710 MB)
• References

Open Access

Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: Nonlinear case p. 1981

Xinjie Dai, Jialin Hong, Derui Sheng and Tau Zhou

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023015

• Abstract
• PDF (563.6 KB)
• References

Open Access

A conservative network element method for diffusion-advection-reaction problems p. 2007

Julien Coatléven

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023040

• Abstract
• PDF (5.958 MB)
• References

Open Access

Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems p. 2041

Haifeng Ji, Feng Wang, Jinru Chen and Zhilin Li

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023047

• Abstract
• PDF (1.013 MB)
• References

Open Access

A hybrid-dG method for singularly perturbed convection-diffusion equations on pipe networks p. 2077

Herbert Egger and Nora Philippi

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023044

• Abstract
• PDF (835.5 KB)
• References

Open Access

A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell’s equations p. 2097

Bernardo Cockburn, Shukai Du and Manuel A. Sánchez

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023048

• Abstract
• PDF (2.228 MB)
• References

Open Access

Error estimates for a finite volume scheme for advection–diffusion equations with rough coefficients p. 2131

Víctor Navarro-Fernández and André Schlichting

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023035

• Abstract
• PDF (567.0 KB)
• References

Open Access

A posteriori error estimates for the Large Eddy Simulation applied to incompressible fluids p. 2159

Ghina Nassreddine, Pascal Omnes and Toni Sayah

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023039

• Abstract
• PDF (1.326 MB)
• References

Open Access

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs p. 2193

Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk and Dirk Praetorius

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023036

• Abstract
• PDF (1.355 MB)
• References

Open Access

Least squares solvers for ill-posed PDEs that are conditionally stable p. 2227

Wolfgang Dahmen, Harald Monsuur and Rob Stevenson

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023050

• Abstract
• PDF (2.339 MB)
• References

Open Access

On the mixed regularity of N-body Coulombic wavefunctions p. 2257

Long Meng

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023054

• Abstract
• PDF (512.7 KB)
• References

Open Access

First-order system least-squares finite element method for singularly perturbed Darcy equations p. 2283

Thomas Führer and Juha Videman

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023049

• Abstract
• PDF (1.009 MB)
• References

Open Access

Stochastic viscosity approximations of Hamilton–Jacobi equations and variance reduction p. 2301

Grégoire Ferré

Published online: 03 July 2023

DOI: https://doi.org/10.1051/m2an/2023042

• Abstract
• PDF (660.3 KB)
• References

Open Access

A study of the local dynamics of modified Patankar DeC and higher order modified Patankar–RK methods p. 2319

Thomas Izgin and Philipp Öffner

Published online: 11 July 2023

DOI: https://doi.org/10.1051/m2an/2023053

• Abstract
• PDF (5.842 MB)
• References

Open Access

Analysis of linearized elasticity models with point sources in weighted Sobolev spaces: applications in tissue contraction p. 2349

Wietse M. Boon and Fred J. Vermolen

Published online: 18 July 2023

DOI: https://doi.org/10.1051/m2an/2023055

• Abstract
• PDF (525.0 KB)
• References

Open Access

Discrete-time analysis of optimized Schwarz waveform relaxation with Robin parameters depending on the targeted iteration count p. 2371

Arthur Arnoult, Caroline Japhet and Pascal Omnes

Published online: 18 July 2023

DOI: https://doi.org/10.1051/m2an/2023051

• Abstract
• PDF (1.439 MB)
• References

Open Access

Fully discrete Schwarz waveform relaxation analysis for the heat equation on a finite spatial domain p. 2397

Ronald D. Haynes and Khaled Mohammad

Published online: 18 July 2023

DOI: https://doi.org/10.1051/m2an/2023038

• Abstract
• PDF (971.6 KB)
• References

Open Access

Semi-discretization and full-discretization with improved accuracy for charged-particle dynamics in a strong nonuniform magnetic field p. 2427

Bin Wang and Yaolin Jiang

Published online: 18 July 2023

DOI: https://doi.org/10.1051/m2an/2023058

• Abstract
• PDF (1.416 MB)
• References

Open Access

Convergence analysis of time-domain PMLS for 2D electromagnetic wave propagation in dispersive waveguides p. 2451

Éliane Bécache, Maryna Kachanovska and Markus Wess

Published online: 27 July 2023

DOI: https://doi.org/10.1051/m2an/2023060

• Abstract
• PDF (1.985 MB)
• References

Open Access

Error estimates of a theta-scheme for second-order mean field games p. 2493

J. Frédéric Bonnans, Kang Liu and Laurent Pfeiffer

Published online: 01 August 2023

DOI: https://doi.org/10.1051/m2an/2023059

• Abstract
• PDF (620.1 KB)
• References

Open Access

Coupled mixed finite element and finite volume methods for a solid velocity-based model of multidimensional sedimentation p. 2529

Julio Careaga and Gabriel N. Gatica

Published online: 01 August 2023

DOI: https://doi.org/10.1051/m2an/2023057

• Abstract
• PDF (4.095 MB)
• References

Open Access

A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes p. 2557

Julien Moatti

Published online: 03 August 2023

DOI: https://doi.org/10.1051/m2an/2023041

• Abstract
• PDF (1.849 MB)
• References

Open Access

Numerical analysis of finite element methods for the cardiac extracellular-membrane-intracellular model: Steklov–Poincaré operator and spatial error estimates p. 2595

Diane Fokoué and Yves Bourgault

Published online: 08 August 2023

DOI: https://doi.org/10.1051/m2an/2023052

• Abstract
• PDF (971.3 KB)
• References