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.

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

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

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

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.

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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