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Forthcoming articles

ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) gives online access to unedited preprint version of accepted papers, ahead of publication. This online version does not take into account corrections made during production process.

Online access to PDF files is granted to subscribers.

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

Wolfgang Dahmen, Harald Monsuur and Rob Stevenson
ESAIM: M2AN, Forthcoming article
Received: 15 July 2022 / Revised: 27 May 2023 / Accepted: 30 May 2023
DOI: https://doi.org/10.1051/m2an/2023050

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
ESAIM: M2AN, Forthcoming article
Received: 04 November 2022 / Revised: 04 May 2023 / Accepted: 23 May 2023
DOI: https://doi.org/10.1051/m2an/2023048

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

Thomas Führer and Juha Videman
ESAIM: M2AN, Forthcoming article
Received: 16 November 2022 / Revised: 08 May 2023 / Accepted: 23 May 2023
DOI: https://doi.org/10.1051/m2an/2023049

Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model.

Matthieu Hillairet, Hélène Mathis and Nicolas Seguin
ESAIM: M2AN, Forthcoming article
Received: 15 September 2022 / Revised: 13 April 2023 / Accepted: 16 May 2023
DOI: https://doi.org/10.1051/m2an/2023046

Analysis of compressible bubbly flows. Part I: Construction of a microscopic model.

Matthieu Hillairet, Hélène Mathis and Nicolas Seguin
ESAIM: M2AN, Forthcoming article
Received: 15 September 2022 / Revised: 13 April 2023 / Accepted: 16 May 2023
DOI: https://doi.org/10.1051/m2an/2023045

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

Haifeng Ji, Feng Wang, Jinru Chen and Zhilin Li
ESAIM: M2AN, Forthcoming article
Received: 20 December 2022 / Revised: 27 March 2023 / Accepted: 16 May 2023
DOI: https://doi.org/10.1051/m2an/2023047

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

Nora Philippi and Herbert Egger
ESAIM: M2AN, Forthcoming article
Received: 09 September 2022 / Revised: 13 March 2023 / Accepted: 16 May 2023
DOI: https://doi.org/10.1051/m2an/2023044

A second order asymptotic model for diffusion MRI in permeable media

Marwa Kchaou and Jing-Rebecca Li
ESAIM: M2AN, Forthcoming article
Received: 27 July 2022 / Revised: 27 February 2023 / Accepted: 15 May 2023
DOI: https://doi.org/10.1051/m2an/2023043

Stochastic viscosity approximations of Hamilton–Jacobi equations and variance reduction

Gregoire Ferre
ESAIM: M2AN, Forthcoming article
Received: 09 July 2022 / Revised: 22 April 2023 / Accepted: 10 May 2023
DOI: https://doi.org/10.1051/m2an/2023042

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

Julien Moatti
ESAIM: M2AN, Forthcoming article
Received: 26 August 2022 / Revised: 27 February 2023 / Accepted: 09 May 2023
DOI: https://doi.org/10.1051/m2an/2023041

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

Ronald Haynes and Khaled Mohammad
ESAIM: M2AN, Forthcoming article
Received: 11 May 2022 / Revised: 24 February 2023 / Accepted: 28 April 2023
DOI: https://doi.org/10.1051/m2an/2023038

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

Mario Fuest, Shahin Heydari, Petr Knobloch, Johannes Lankeit and Thomas Wick
ESAIM: M2AN, Forthcoming article
Received: 17 May 2022 / Revised: 03 March 2023 / Accepted: 28 April 2023
DOI: https://doi.org/10.1051/m2an/2023037

A conservative network element method for diffusion-advection-reaction problems

Julien Coatléven
ESAIM: M2AN, Forthcoming article
Received: 13 January 2023 / Revised: 27 March 2023 / Accepted: 28 April 2023
DOI: https://doi.org/10.1051/m2an/2023040

A posteriori error estimates for the large eddy simulation applied to incompressible fluids

Ghina Nassreddine, PASCAL OMNES and TONI SAYAH
ESAIM: M2AN, Forthcoming article
Received: 24 June 2022 / Revised: 06 March 2023 / Accepted: 28 April 2023
DOI: https://doi.org/10.1051/m2an/2023039

Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients

Víctor Navarro-Fernández and André Schlichting
ESAIM: M2AN, Forthcoming article
Received: 04 October 2022 / Revised: 27 February 2023 / Accepted: 23 April 2023
DOI: https://doi.org/10.1051/m2an/2023035

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs

Roland Becker, Maximilian Brunner, Michael Innerberger, Jens Markus Melenk and Dirk Praetorius
ESAIM: M2AN, Forthcoming article
Received: 08 November 2022 / Revised: 13 April 2023 / Accepted: 23 April 2023
DOI: https://doi.org/10.1051/m2an/2023036

A posteriori error estimation and adaptivity for multiple-network poroelasticity

Emilie Eliseussen, Marie Rognes and Travis B Thompson
ESAIM: M2AN, Forthcoming article
Received: 14 December 2021 / Revised: 14 November 2022 / Accepted: 14 April 2023
DOI: https://doi.org/10.1051/m2an/2023033

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

Daisuke Inoue, Yuji Ito, Takahito Kashiwabara, Norikazu Saito and Hiroaki Yoshida
ESAIM: M2AN, Forthcoming article
Received: 28 April 2022 / Revised: 09 March 2023 / Accepted: 14 March 2023
DOI: https://doi.org/10.1051/m2an/2023026

Convergence Analysis of Pressure Reconstruction Methods from discrete velocities

Rodolfo Araya, Cristobal Bertoglio, Cristian Carcamo, David Nolte and Sergio Uribe
ESAIM: M2AN, Forthcoming article
Received: 05 October 2021 / Revised: 07 December 2022 / Accepted: 27 February 2023
DOI: https://doi.org/10.1051/m2an/2023021

A staggered projection scheme for viscoelastic flows

Jean-Claude Latché, Omar Mokhtari, Yohan Davit and Michel Quintard
ESAIM: M2AN, Forthcoming article
Received: 24 October 2021 / Revised: 26 January 2023 / Accepted: 22 February 2023
DOI: https://doi.org/10.1051/m2an/2023020

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
ESAIM: M2AN, Forthcoming article
Received: 04 February 2022 / Revised: 02 October 2022 / Accepted: 13 February 2023
DOI: https://doi.org/10.1051/m2an/2023015

Reduced order modeling for elliptic problems with high contrast diffusion coefficients

Albert Cohen, Matthieu Dolbeault and Agustin Somacal
ESAIM: M2AN, Forthcoming article
Received: 31 January 2022 / Revised: 18 October 2022 / Accepted: 08 February 2023
DOI: https://doi.org/10.1051/m2an/2023013

Continuum limit of [[EQUATION]]-Laplacian evolution problems on graphs: [[EQUATION]]graphons and sparse graphs

Imad El Bouchairi, Jalal Fadili and Abderrahim El Moataz
ESAIM: M2AN, Forthcoming article
Received: 17 January 2022 / Revised: 03 October 2022 / Accepted: 14 January 2023
DOI: https://doi.org/10.1051/m2an/2023006

Superconvergence of DPG approximations in linear elasticity

Fleurianne Bertrand and Henrik Schneider
ESAIM: M2AN, Forthcoming article
Received: 14 March 2022 / Revised: 22 August 2022 / Accepted: 27 August 2022
DOI: https://doi.org/10.1051/m2an/2022071