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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.

Using curved meshes to derive a priori error estimates for a linear elasticity problem with robin boundary conditions

Joyce Ghantous
ESAIM: M2AN, Forthcoming article
Received: 16 December 2024 / Revised: 05 June 2025 / Accepted: 05 July 2025
DOI: https://doi.org/10.1051/m2an/2025063

The semi-implicit Euler-Maruyama method for nonlinear non-autonomous stochastic differential equations driven by a class of Levy processes

Xiaotong Li, Wei Liu and Hongjiong Tian
ESAIM: M2AN, Forthcoming article
Received: 03 November 2023 / Revised: 14 December 2024 / Accepted: 30 June 2025
DOI: https://doi.org/10.1051/m2an/2025061

Hybrid high-order methods for elasto-acoustic wave propagation in the time domain

Romain Mottier, Alexandre Ern, Rekha Khot and Laurent Guillot
ESAIM: M2AN, Forthcoming article
Received: 07 February 2025 / Revised: 18 June 2025 / Accepted: 30 June 2025
DOI: https://doi.org/10.1051/m2an/2025062

Solving the unique continuation problem for Schrödinger equations with low regularity solutions using a stabilized finite element method

Erik Burman, Mingfei Lu and Lauri Oksanen
ESAIM: M2AN, Forthcoming article
Received: 14 May 2024 / Revised: 26 February 2025 / Accepted: 24 June 2025
DOI: https://doi.org/10.1051/m2an/2025060

Convergence analysis of approximate shape gradients for shape optimization in parabolic problems

Jiajie Li, Wan Li and Shengfeng Zhu
ESAIM: M2AN, Forthcoming article
Received: 25 November 2024 / Revised: 16 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025058

Limitation strategies for high-order discontinuous Galerkin schemes applied to an Eulerian model of polydisperse sprays

Katia Ait-Ameur, Teddy Pichard, Marc Massot and Mohamed Essadki
ESAIM: M2AN, Forthcoming article
Received: 13 November 2024 / Revised: 08 April 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025057

Existence, uniqueness, and numerical solutions of the nonlinear periodic Westervelt equation

Benjamin Rainer and Barbara Kaltenbacher
ESAIM: M2AN, Forthcoming article
Received: 07 February 2025 / Revised: 05 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025059

Three parameter-robust virtual element numerical schemes for a Stokes-Biot fluid-poroelastic structure interaction model

Xin Liu, Qixuan Song, Yiqiang Li and Junfeng Zhao
ESAIM: M2AN, Forthcoming article
Received: 17 June 2024 / Revised: 05 June 2025 / Accepted: 23 June 2025
DOI: https://doi.org/10.1051/m2an/2025055

An abstract tool for comparing mixed- and equidimensional modeling

Daniel Førland Holmen, Jan Martin Nordbotten and Jon Eivind Vatne
ESAIM: M2AN, Forthcoming article
Received: 06 November 2024 / Revised: 21 May 2025 / Accepted: 18 June 2025
DOI: https://doi.org/10.1051/m2an/2025054

Flux gobalization based well-balanced path-conservative central-upwind schemes for the shallow water flows in channels with arbitrary cross-section

Alexander Kurganov and Mingye Na
ESAIM: M2AN, Forthcoming article
Received: 17 May 2024 / Revised: 24 February 2025 / Accepted: 18 June 2025
DOI: https://doi.org/10.1051/m2an/2025053

A microscopic derivation of a traffic flow model on a junction with two entry lines

Pierre Cardaliaguet
ESAIM: M2AN, Forthcoming article
Received: 02 September 2024 / Revised: 07 May 2025 / Accepted: 16 June 2025
DOI: https://doi.org/10.1051/m2an/2025051

Uniform in time convergence of numerical schemes for stochastic differential equations via Strong Exponential stability: Euler methods, Split-Step and Tamed Schemes.

Letizia Angeli, Dan Crisan and Michela Ottobre
ESAIM: M2AN, Forthcoming article
Received: 26 July 2024 / Revised: 21 January 2025 / Accepted: 16 June 2025
DOI: https://doi.org/10.1051/m2an/2025052

On the breathing of spectral bands in periodic quantum waveguides with inflating resonators

Lucas Chesnel and Sergei A. Nazarov
ESAIM: M2AN, Forthcoming article
Received: 18 January 2025 / Revised: 11 May 2025 / Accepted: 14 June 2025
DOI: https://doi.org/10.1051/m2an/2025049

Strong error estimates for a fully discrete SAV scheme for the stochastic Allen-Cahn equation with multiplicative noise

Stefan Metzger
ESAIM: M2AN, Forthcoming article
Received: 17 March 2025 / Accepted: 14 June 2025
DOI: https://doi.org/10.1051/m2an/2025050

A multipoint perturbation formula for eigenvalue problems

Louis Garrigue, Benjamin Stamm and Genevieve Dusson
ESAIM: M2AN, Forthcoming article
Received: 30 April 2024 / Revised: 30 January 2025 / Accepted: 14 June 2025
DOI: https://doi.org/10.1051/m2an/2025048

Residual-based a posteriori error analysis of a Taylor--Hood discretization of the Reissner--Mindlin plate

Dietmar Gallistl and Mira Schedensack
ESAIM: M2AN, Forthcoming article
Received: 17 March 2025 / Accepted: 10 June 2025
DOI: https://doi.org/10.1051/m2an/2025047

Offline-online approximation of multiscale eigenvalue problems with random defects

Dilini Kolombage and Barbara Verfürth
ESAIM: M2AN, Forthcoming article
Received: 29 November 2024 / Revised: 25 April 2025 / Accepted: 03 June 2025
DOI: https://doi.org/10.1051/m2an/2025046

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in H(div)

Will Pazner
ESAIM: M2AN, Forthcoming article
Received: 03 December 2024 / Revised: 27 April 2025 / Accepted: 01 June 2025
DOI: https://doi.org/10.1051/m2an/2025045

Finite element approximation to the non-stationary quasi-geostrophic equation

Dohyun Kim, Amiya Kumar Pani and Eun-Jae Park
ESAIM: M2AN, Forthcoming article
Received: 19 August 2024 / Revised: 03 April 2025 / Accepted: 20 May 2025
DOI: https://doi.org/10.1051/m2an/2025040

Implicit kinetic schemes for the Saint-Venant system

Chourouk El Hassanieh, Mathieu Rigal and Jacques Sainte-Marie
ESAIM: M2AN, Forthcoming article
Received: 13 May 2024 / Revised: 02 April 2025 / Accepted: 16 May 2025
DOI: https://doi.org/10.1051/m2an/2025038

Damped energy-norm a posteriori error estimates for fully discrete approximations of the wave equation using C2-reconstructions with the leapfrog scheme

Théophile Chaumont-Frelet and Alexandre Ern
ESAIM: M2AN, Forthcoming article
Received: 20 March 2024 / Revised: 18 March 2025 / Accepted: 31 March 2025
DOI: https://doi.org/10.1051/m2an/2025027