ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)

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

Hong Zhang, Xu Qian, Jun Xia and Songhe Song

ESAIM: M2AN, Forthcoming article

Received: 06 November 2022 / Revised: 21 March 2023 / Accepted: 27 March 2023

DOI: https://doi.org/10.1051/m2an/2023029

PDF (2.075 MB)

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

Rémi Cornaggia and Bruno Lombard

ESAIM: M2AN, Forthcoming article

Received: 26 April 2022 / Revised: 27 February 2023 / Accepted: 23 March 2023

DOI: https://doi.org/10.1051/m2an/2023027

PDF (2.553 MB)

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

Alex Kaltenbach and Michael Ruzicka

ESAIM: M2AN, Forthcoming article

Received: 18 July 2022 / Revised: 02 March 2023 / Accepted: 23 March 2023

DOI: https://doi.org/10.1051/m2an/2023028

PDF (2.300 MB)

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

PDF (988.1 KB)

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

Guosheng Fu and Wenzheng Kuang

ESAIM: M2AN, Forthcoming article

Received: 30 August 2022 / Revised: 09 March 2023 / Accepted: 12 March 2023

DOI: https://doi.org/10.1051/m2an/2023025

PDF (2.134 MB)

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

Gabriel Gatica, Claudio Correa and Ricardo Ruiz-Baier

ESAIM: M2AN, Forthcoming article

Received: 29 September 2022 / Revised: 09 March 2023 / Accepted: 10 March 2023

DOI: https://doi.org/10.1051/m2an/2023024

PDF (1.615 MB)

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

Elie Bretin, Roland Denis, Simon Masnou, Arnaud Sengers and Garry Terii

ESAIM: M2AN, Forthcoming article

Received: 08 March 2022 / Revised: 30 October 2022 / Accepted: 06 March 2023

DOI: https://doi.org/10.1051/m2an/2023023

PDF (3.176 MB)

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

Stefan Frei, Gozel Judakova and Thomas Richter

ESAIM: M2AN, Forthcoming article

Received: 16 July 2020 / Revised: 16 February 2023 / Accepted: 03 March 2023

DOI: https://doi.org/10.1051/m2an/2023022

PDF (2.103 MB)

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

PDF (6.150 MB)

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

PDF (2.902 MB)

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

Roxana Dumitrescu, Marcos Leutscher and Peter Tankov

ESAIM: M2AN, Forthcoming article

Received: 02 March 2022 / Revised: 18 November 2022 / Accepted: 20 February 2023

DOI: https://doi.org/10.1051/m2an/2023019

PDF (1.299 MB)

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

Claudia Acosta and Silvia Jerez

ESAIM: M2AN, Forthcoming article

Received: 28 February 2022 / Revised: 24 December 2022 / Accepted: 16 February 2023

DOI: https://doi.org/10.1051/m2an/2023018

PDF (987.6 KB)

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

Aaron Brunk, Egger Herbert, Oliver Habrich and Maria Lukácová-Medvidová

ESAIM: M2AN, Forthcoming article

Received: 23 February 2022 / Revised: 13 February 2023 / Accepted: 14 February 2023

DOI: https://doi.org/10.1051/m2an/2023017

PDF (1.145 MB)

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

Aycil Cesmelioglu, Dinh Dong Pham and Sander Rhebergen

ESAIM: M2AN, Forthcoming article

Received: 06 April 2022 / Revised: 09 February 2023 / Accepted: 13 February 2023

DOI: https://doi.org/10.1051/m2an/2023016

PDF (2.086 MB)

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

PDF (581.9 KB)

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

Mihai Bucataru, Iulian Cimpean and Liviu Marin

ESAIM: M2AN, Forthcoming article

Received: 01 September 2022 / Revised: 04 February 2023 / Accepted: 12 February 2023

DOI: https://doi.org/10.1051/m2an/2023014

PDF (1.974 MB)

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

Jarle Sogn and Stefan Takacs

ESAIM: M2AN, Forthcoming article

Received: 06 April 2022 / Revised: 25 January 2023 / Accepted: 02 February 2023

DOI: https://doi.org/10.1051/m2an/2023011

PDF (800.5 KB)

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

Yali Gao, Xiaoming He, Tao Lin and Yanping Lin

ESAIM: M2AN, Forthcoming article

Received: 28 May 2022 / Revised: 22 November 2022 / Accepted: 02 February 2023

DOI: https://doi.org/10.1051/m2an/2023012

PDF (3.617 MB)

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

Michel Duprez, Lozinski Alexei and Lleras Vanessa

ESAIM: M2AN, Forthcoming article

Received: 25 February 2022 / Revised: 13 December 2022 / Accepted: 25 January 2023

DOI: https://doi.org/10.1051/m2an/2023010

PDF (1.863 MB)

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

Yiming Chen, Alexander Kurganov and Mingye Na

ESAIM: M2AN, Forthcoming article

Received: 07 May 2022 / Revised: 07 November 2022 / Accepted: 24 January 2023

DOI: https://doi.org/10.1051/m2an/2023009

PDF (1.920 MB)

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

Thomas Bellotti

ESAIM: M2AN, Forthcoming article

Received: 04 May 2022 / Revised: 14 December 2022 / Accepted: 23 January 2023

DOI: https://doi.org/10.1051/m2an/2023008

PDF (675.0 KB)

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

Yana Di, Yuheng Ma, Jie Shen and Jiwei Zhang

ESAIM: M2AN, Forthcoming article

Received: 23 June 2022 / Revised: 20 January 2023 / Accepted: 22 January 2023

DOI: https://doi.org/10.1051/m2an/2023007

PDF (1.305 MB)

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

PDF (713.6 KB)

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

Juntao Huang, Thomas Izgin, Stefan Kopecz, Andreas Meister and Chi-Wang Shu

ESAIM: M2AN, Forthcoming article

Received: 03 May 2022 / Revised: 20 December 2022 / Accepted: 09 January 2023

DOI: https://doi.org/10.1051/m2an/2023005

PDF (1.372 MB)

Extensions of Active Flux to arbitrary order of accuracy

Wasilij Barsukow and Remi Abgrall

ESAIM: M2AN, Forthcoming article

Received: 13 June 2022 / Revised: 30 November 2022 / Accepted: 09 January 2023

DOI: https://doi.org/10.1051/m2an/2023004

PDF (942.5 KB)

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

Anderson de Jesus Araújo Ramos, Mauro Rincon, Rodrigo Madureira and Mirelson Freitas

ESAIM: M2AN, Forthcoming article

Received: 17 May 2022 / Revised: 27 December 2022 / Accepted: 30 December 2022

DOI: https://doi.org/10.1051/m2an/2023002

PDF (951.3 KB)

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

Benjamin E. Grossman-Ponemon, Matteo Negri and Adrian J. Lew

ESAIM: M2AN, Forthcoming article

Received: 22 April 2022 / Revised: 15 November 2022 / Accepted: 28 December 2022

DOI: https://doi.org/10.1051/m2an/2023001

PDF (908.1 KB)

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

PDF (539.5 KB)