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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Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions

ESAIM: M2AN, Forthcoming article
Received: 06 November 2022 / Revised: 21 March 2023 / Accepted: 27 March 2023
DOI: https://doi.org/10.1051/m2an/2023029

A homogenized model accounting for dispersion, interfaces and source points for transient waves in 1D periodic media

ESAIM: M2AN, Forthcoming article
Received: 26 April 2022 / Revised: 27 February 2023 / Accepted: 23 March 2023
DOI: https://doi.org/10.1051/m2an/2023027

Convergence analysis of a local discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure

ESAIM: M2AN, Forthcoming article
Received: 18 July 2022 / Revised: 02 March 2023 / Accepted: 23 March 2023
DOI: https://doi.org/10.1051/m2an/2023028

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

Optimal geometric multigrid preconditioners for HDG-P0 schemes for the reaction-diffusion equation and the generalized Stokes equations

ESAIM: M2AN, Forthcoming article
Received: 30 August 2022 / Revised: 09 March 2023 / Accepted: 12 March 2023
DOI: https://doi.org/10.1051/m2an/2023025

New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces

ESAIM: M2AN, Forthcoming article
Received: 29 September 2022 / Revised: 09 March 2023 / Accepted: 10 March 2023
DOI: https://doi.org/10.1051/m2an/2023024

A multiphase Cahn-Hilliard system with mobilities and the numerical simulation of dewetting

ESAIM: M2AN, Forthcoming article
Received: 08 March 2022 / Revised: 30 October 2022 / Accepted: 06 March 2023
DOI: https://doi.org/10.1051/m2an/2023023

A locally modified second-order finite element method for interface problems and its implementation in 2 dimensions

ESAIM: M2AN, Forthcoming article
Received: 16 July 2020 / Revised: 16 February 2023 / Accepted: 03 March 2023
DOI: https://doi.org/10.1051/m2an/2023022

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

Linear programming fictitious play algorithm for mean field games with optimal stopping and absorption

ESAIM: M2AN, Forthcoming article
Received: 02 March 2022 / Revised: 18 November 2022 / Accepted: 20 February 2023
DOI: https://doi.org/10.1051/m2an/2023019

Convergence of entropy stable schemes for degenerate parabolic equations with a discontinuous convection term

ESAIM: M2AN, Forthcoming article
Received: 28 February 2022 / Revised: 24 December 2022 / Accepted: 16 February 2023
DOI: https://doi.org/10.1051/m2an/2023018

Stability and discretization error analysis for the Cahn-Hilliard system via relative energy estimates

ESAIM: M2AN, Forthcoming article
Received: 23 February 2022 / Revised: 13 February 2023 / Accepted: 14 February 2023
DOI: https://doi.org/10.1051/m2an/2023017

A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem

ESAIM: M2AN, Forthcoming article
Received: 06 April 2022 / Revised: 09 February 2023 / Accepted: 13 February 2023
DOI: https://doi.org/10.1051/m2an/2023016

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

Stable reconstruction of discontinuous solutions to the Cauchy problem in steady-state anisotropic heat conduction with non-smooth coefficients

ESAIM: M2AN, Forthcoming article
Received: 01 September 2022 / Revised: 04 February 2023 / Accepted: 12 February 2023
DOI: https://doi.org/10.1051/m2an/2023014

Stable discretizations and IETI-DP solvers for the Stokes system in multi-patch IgA

ESAIM: M2AN, Forthcoming article
Received: 06 April 2022 / Revised: 25 January 2023 / Accepted: 02 February 2023
DOI: https://doi.org/10.1051/m2an/2023011

Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities

ESAIM: M2AN, Forthcoming article
Received: 28 May 2022 / Revised: 22 November 2022 / Accepted: 02 February 2023
DOI: https://doi.org/10.1051/m2an/2023012

φ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations

ESAIM: M2AN, Forthcoming article
Received: 25 February 2022 / Revised: 13 December 2022 / Accepted: 25 January 2023
DOI: https://doi.org/10.1051/m2an/2023010

A flux globalization based well-balanced path-conservative central-upwind scheme for the shallow water flows in channels

ESAIM: M2AN, Forthcoming article
Received: 07 May 2022 / Revised: 07 November 2022 / Accepted: 24 January 2023
DOI: https://doi.org/10.1051/m2an/2023009

Truncation errors and modified equations for the lattice Boltzmann method via the corresponding Finite Difference schemes

ESAIM: M2AN, Forthcoming article
Received: 04 May 2022 / Revised: 14 December 2022 / Accepted: 23 January 2023
DOI: https://doi.org/10.1051/m2an/2023008

A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier-Stokes equations

ESAIM: M2AN, Forthcoming article
Received: 23 June 2022 / Revised: 20 January 2023 / Accepted: 22 January 2023
DOI: https://doi.org/10.1051/m2an/2023007

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

On the stability of strong-stability-preserving modified Patankar-Runge-Kutta schemes

ESAIM: M2AN, Forthcoming article
Received: 03 May 2022 / Revised: 20 December 2022 / Accepted: 09 January 2023
DOI: https://doi.org/10.1051/m2an/2023005

Extensions of Active Flux to arbitrary order of accuracy

ESAIM: M2AN, Forthcoming article
Received: 13 June 2022 / Revised: 30 November 2022 / Accepted: 09 January 2023
DOI: https://doi.org/10.1051/m2an/2023004

Exponential stabilization for carbon nanotubes modeled as Timoshenko beams with thermoelastic effects

ESAIM: M2AN, Forthcoming article
Received: 17 May 2022 / Revised: 27 December 2022 / Accepted: 30 December 2022
DOI: https://doi.org/10.1051/m2an/2023002

Analysis of a method to compute mixed-mode stress intensity factors for non-planar cracks in three-dimensions

ESAIM: M2AN, Forthcoming article
Received: 22 April 2022 / Revised: 15 November 2022 / Accepted: 28 December 2022
DOI: https://doi.org/10.1051/m2an/2023001

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