Superconvergence of DPG approximations in linear elasticity Fleurianne Bertrand and Henrik Schneider Received: 14 March 2022 / Revised: 22 August 2022 / Accepted: 27 August 2022 DOI: https://doi.org/10.1051/m2an/2022071 PDF (539.5 KB)
Continuum limit of [[EQUATION]]-Laplacian evolution problems on graphs: [[EQUATION]]graphons and sparse graphs Imad El Bouchairi, Jalal Fadili and Abderrahim El Moataz Received: 17 January 2022 / Revised: 03 October 2022 / Accepted: 14 January 2023 DOI: https://doi.org/10.1051/m2an/2023006 PDF (713.6 KB)
Reduced order modeling for elliptic problems with high contrast diffusion coefficients Albert Cohen, Matthieu Dolbeault and Agustin Somacal Received: 31 January 2022 / Revised: 18 October 2022 / Accepted: 08 February 2023 DOI: https://doi.org/10.1051/m2an/2023013 PDF (794.3 KB)
Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: Nonlinear case Xinjie Dai, Jialin Hong, Derui Sheng and Tau Zhou Received: 04 February 2022 / Revised: 02 October 2022 / Accepted: 13 February 2023 DOI: https://doi.org/10.1051/m2an/2023015 PDF (581.9 KB)
A staggered projection scheme for viscoelastic flows Jean-Claude Latché, Omar Mokhtari, Yohan Davit and Michel Quintard Received: 24 October 2021 / Revised: 26 January 2023 / Accepted: 22 February 2023 DOI: https://doi.org/10.1051/m2an/2023020 PDF (2.902 MB)
Convergence Analysis of Pressure Reconstruction Methods from discrete velocities Rodolfo Araya, Cristobal Bertoglio, Cristian Carcamo, David Nolte and Sergio Uribe Received: 05 October 2021 / Revised: 07 December 2022 / Accepted: 27 February 2023 DOI: https://doi.org/10.1051/m2an/2023021 PDF (6.150 MB)
A fictitious-play finite-difference method for linearly solvable mean field games Daisuke Inoue, Yuji Ito, Takahito Kashiwabara, Norikazu Saito and Hiroaki Yoshida Received: 28 April 2022 / Revised: 09 March 2023 / Accepted: 14 March 2023 DOI: https://doi.org/10.1051/m2an/2023026 PDF (988.1 KB)
A posteriori error estimation and adaptivity for multiple-network poroelasticity Emilie Eliseussen, Marie Rognes and Travis B Thompson Received: 14 December 2021 / Revised: 14 November 2022 / Accepted: 14 April 2023 DOI: https://doi.org/10.1051/m2an/2023033 PDF (6.943 MB)
Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients Víctor Navarro-Fernández and André Schlichting Received: 04 October 2022 / Revised: 27 February 2023 / Accepted: 23 April 2023 DOI: https://doi.org/10.1051/m2an/2023035 PDF (590.2 KB)
Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk and Dirk Praetorius Received: 08 November 2022 / Revised: 13 April 2023 / Accepted: 23 April 2023 DOI: https://doi.org/10.1051/m2an/2023036 PDF (1.696 MB)
Global existence of classical solutions and numerical simulations of a cancer invasion model Mario Fuest, Shahin Heydari, Petr Knobloch, Johannes Lankeit and Thomas Wick Received: 17 May 2022 / Revised: 03 March 2023 / Accepted: 28 April 2023 DOI: https://doi.org/10.1051/m2an/2023037 PDF (3.383 MB)
A posteriori error estimates for the large eddy simulation applied to incompressible fluids Ghina Nassreddine, PASCAL OMNES and TONI SAYAH Received: 24 June 2022 / Revised: 06 March 2023 / Accepted: 28 April 2023 DOI: https://doi.org/10.1051/m2an/2023039 PDF (873.6 KB)
A conservative network element method for diffusion-advection-reaction problems Julien Coatléven Received: 13 January 2023 / Revised: 27 March 2023 / Accepted: 28 April 2023 DOI: https://doi.org/10.1051/m2an/2023040 PDF (9.106 MB)
A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes Julien Moatti Received: 26 August 2022 / Revised: 27 February 2023 / Accepted: 09 May 2023 DOI: https://doi.org/10.1051/m2an/2023041 PDF (1.924 MB)
A second order asymptotic model for diffusion MRI in permeable media Marwa Kchaou and Jing-Rebecca Li Received: 27 July 2022 / Revised: 27 February 2023 / Accepted: 15 May 2023 DOI: https://doi.org/10.1051/m2an/2023043 PDF (1.862 MB)
A hybrid-dG method for singularly perturbed convection-diffusion equations on pipe networks Nora Philippi and Herbert Egger Received: 09 September 2022 / Revised: 13 March 2023 / Accepted: 16 May 2023 DOI: https://doi.org/10.1051/m2an/2023044 PDF (892.3 KB)
Analysis of compressible bubbly flows. Part I: Construction of a microscopic model. Matthieu Hillairet, Hélène Mathis and Nicolas Seguin Received: 15 September 2022 / Revised: 13 April 2023 / Accepted: 16 May 2023 DOI: https://doi.org/10.1051/m2an/2023045 PDF (427.6 KB)
Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model. Matthieu Hillairet, Hélène Mathis and Nicolas Seguin Received: 15 September 2022 / Revised: 13 April 2023 / Accepted: 16 May 2023 DOI: https://doi.org/10.1051/m2an/2023046 PDF (565.8 KB)
Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems Haifeng Ji, Feng Wang, Jinru Chen and Zhilin Li Received: 20 December 2022 / Revised: 27 March 2023 / Accepted: 16 May 2023 DOI: https://doi.org/10.1051/m2an/2023047 PDF (1.444 MB)
A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell's equations Bernardo Cockburn, Shukai Du and Manuel A. Sanchez Received: 04 November 2022 / Revised: 04 May 2023 / Accepted: 23 May 2023 DOI: https://doi.org/10.1051/m2an/2023048 PDF (2.471 MB)
First-order system least-squares finite element method for singularly perturbed Darcy equations Thomas Führer and Juha Videman Received: 16 November 2022 / Revised: 08 May 2023 / Accepted: 23 May 2023 DOI: https://doi.org/10.1051/m2an/2023049 PDF (919.0 KB)
Stochastic viscosity approximations of Hamilton–Jacobi equations and variance reduction Gregoire Ferre Received: 09 July 2022 / Revised: 22 April 2023 / Accepted: 10 May 2023 DOI: https://doi.org/10.1051/m2an/2023042 PDF (561.5 KB)