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

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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.

Error analysis of a backward Euler positive preserving stabilized scheme for a Chemotaxis system

Panagiotis Chatzipantelidis and Christos Pervolianakis

ESAIM: M2AN, Forthcoming article

Received: 07 September 2024 / Revised: 28 January 2026 / Accepted: 17 April 2026

DOI: https://doi.org/10.1051/m2an/2026037

PDF (870.2 KB)

Elliptic interface problem approximated by CutFEM: I. Flux recovery and numerical validation of adaptive mesh refinement

Daniela Capatina, Aimene Gouasmi and Cuiyu He

ESAIM: M2AN, Forthcoming article

Received: 11 July 2025 / Revised: 06 March 2026 / Accepted: 13 April 2026

DOI: https://doi.org/10.1051/m2an/2026036

PDF (8.498 MB)

Efficient linear schemes for a penalized ternary Cahn-Hilliard system

Justin Swain and Giordano Tierra Chica

ESAIM: M2AN, Forthcoming article

Received: 06 March 2025 / Revised: 20 March 2026 / Accepted: 08 April 2026

DOI: https://doi.org/10.1051/m2an/2026035

PDF (606.2 MB)

A gradient flow model for the Gross--Pitaevskii problem: Mathematical and numerical analysis

Tianyang Chu, Xiaoying Dai, Jing Wu and Aihui Zhou

ESAIM: M2AN, Forthcoming article

Received: 31 October 2025 / Revised: 06 March 2026 / Accepted: 07 April 2026

DOI: https://doi.org/10.1051/m2an/2026034

PDF (485.0 KB)

Numerical simulation of a fine-tunable Föppl-von Kármán model for foldable and bilayer plates

Soeren Bartels, Philipp Tscherner and Bernd Schmidt

ESAIM: M2AN, Forthcoming article

Received: 24 February 2025 / Revised: 18 March 2026 / Accepted: 04 April 2026

DOI: https://doi.org/10.1051/m2an/2026033

PDF (4.850 MB)

Solving numerically the two-dimensional time harmonic Maxwell problem with sign-changing coefficients

Farah Chaaban, Patrick Ciarlet and Mahran Rihani

ESAIM: M2AN, Forthcoming article

Received: 23 January 2025 / Revised: 18 February 2026 / Accepted: 31 March 2026

DOI: https://doi.org/10.1051/m2an/2026032

PDF (2.599 MB)

Hybrid high-order method for the extended Fisher-Kolmogorov and the Fisher-Kolmogorov equations

Neela Nataraj and Raman Kumar

ESAIM: M2AN, Forthcoming article

Received: 11 November 2024 / Revised: 23 March 2026 / Accepted: 28 March 2026

DOI: https://doi.org/10.1051/m2an/2026031

PDF (507.0 KB)

Semi-discrete multi-to-one dimensional variational problems

Omar Abdul Halim, Daniyar Omarov and Brendan Pass

ESAIM: M2AN, Forthcoming article

Received: 13 August 2025 / Revised: 12 February 2026 / Accepted: 25 March 2026

DOI: https://doi.org/10.1051/m2an/2026030

PDF (1.936 MB)

Stabilization of parabolic time-varying PDEs using certified reduced-order receding horizon control

Behzad Azmi, Michael Kartmann and Stefan Volkwein

ESAIM: M2AN, Forthcoming article

Received: 21 August 2025 / Revised: 12 February 2026 / Accepted: 24 March 2026

DOI: https://doi.org/10.1051/m2an/2026029

PDF (821.9 KB)

Numerical analysis of the Landau--Lifshitz--Bloch equation with spin-torques

Agus Leonardi Soenjaya

ESAIM: M2AN, Forthcoming article

Received: 10 October 2024 / Revised: 15 December 2025 / Accepted: 24 March 2026

DOI: https://doi.org/10.1051/m2an/2026028

PDF (4.841 MB)

Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation

Martin Halla, Christoph Lehrenfeld and Tim van Beeck

ESAIM: M2AN, Forthcoming article

Received: 02 May 2025 / Revised: 14 November 2025 / Accepted: 21 March 2026

DOI: https://doi.org/10.1051/m2an/2026027

PDF (3.810 MB)

Discretization of a new model of dispersive waves with improved dispersive properties and exact conservation of energy

Arnaud Duran and Gaël L. Richard

ESAIM: M2AN, Forthcoming article

Received: 15 April 2024 / Revised: 29 December 2025 / Accepted: 17 March 2026

DOI: https://doi.org/10.1051/m2an/2026026

PDF (5.736 MB)

On local algorithms for electrostatics

Bo Li, Qian Yin and Shenggao Zhou

ESAIM: M2AN, Forthcoming article

Received: 18 August 2025 / Revised: 26 February 2026 / Accepted: 14 March 2026

DOI: https://doi.org/10.1051/m2an/2026025

PDF (574.2 KB)

An inverse problem in cell dynamics: Recovering an initial distribution of telomere lengths from measurements of senescence times

Jules Olayé

ESAIM: M2AN, Forthcoming article

Received: 21 February 2025 / Revised: 01 January 2026 / Accepted: 11 February 2026

DOI: https://doi.org/10.1051/m2an/2026022

PDF (1.188 MB)

Deep ReLU neural network emulation in high-frequency acoustic scattering

Fernando Henriquez and Christoph Schwab

ESAIM: M2AN, Forthcoming article

Received: 14 May 2025 / Revised: 24 December 2025 / Accepted: 22 January 2026

DOI: https://doi.org/10.1051/m2an/2026010

PDF (1.136 MB)