ESAIM: Mathematical Modelling and Numerical Analysis

Open Access

A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes p. 473

Thomas Borsoni, Laurent Boudin, Julien Mathiaud and Francesco Salvarani

Published online: 24 March 2026

DOI: https://doi.org/10.1051/m2an/2026008

• Abstract
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Open Access

Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators p. 495

Qiumei Huang, Alexander Ostermann and Gangfan Zhong

Published online: 24 March 2026

DOI: https://doi.org/10.1051/m2an/2026009

• Abstract
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Open Access

Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model p. 517

Xueling Huang, Olivier Goubet and Jie Shen

Published online: 24 March 2026

DOI: https://doi.org/10.1051/m2an/2026012

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Open Access

Enriching continuous lagrange finite element approximation spaces using neural networks p. 541

Hélène Barucq, Michel Duprez, Florian Faucher, Emmanuel Franck, Frédérique Lecourtier, Vanessa Lleras, Victor Michel-Dansac and Nicolas Victorion

Published online: 06 April 2026

DOI: https://doi.org/10.1051/m2an/2026007

• Abstract
• PDF (4.641 MB)
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Open Access

Self-regulated biological transportation structures with general entropy dissipation: 2D case and leaf-shaped domain p. 605

Clarissa Astuto, Peter Markowich, Simone Portaro and Giovanni Russo

Published online: 06 April 2026

DOI: https://doi.org/10.1051/m2an/2026011

• Abstract
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Open Access

Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes p. 633

Georgios Akrivis, Sören Bartels, Michele Ruggeri and Jilu Wang

Published online: 06 April 2026

DOI: https://doi.org/10.1051/m2an/2026019

• Abstract
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Open Access

High order asymptotic-preserving penalized numerical schemes for the Euler-Poisson system in the quasineutral limit p. 657

Nicolas Crouseilles, Giacomo Dimarco and Saurav Samantaray

Published online: 09 April 2026

DOI: https://doi.org/10.1051/m2an/2026004

• Abstract
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Open Access

The regularity of electronic wave functions in barron spaces p. 689

Harry Yserentant

Published online: 09 April 2026

DOI: https://doi.org/10.1051/m2an/2026015

• Abstract
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Open Access

Stable hybrid upwinding VAG scheme for the incompressible diphasic model with discontinuous capillary pressure p. 701

Thomas Crozon, Roland Masson, El Houssaine Quenjel and Mazen Saad

Published online: 09 April 2026

DOI: https://doi.org/10.1051/m2an/2026017

• Abstract
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Open Access

Discretization and convergence of the ballistic Benamou-Brenier formulation of the porous medium and burgers’ equations p. 727

Jean-Marie Mirebeau and Erwan Stampfli

Published online: 09 April 2026

DOI: https://doi.org/10.1051/m2an/2025100

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Open Access

Convergence rate for a semidiscrete approximation of scalar conservation laws p. 761

Magnus Christie Ørke

Published online: 09 April 2026

DOI: https://doi.org/10.1051/m2an/2026020

• Abstract
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Open Access

A twofold perturbed saddle point-based fully mixed finite element method for the coupled Brinkman–Forchheimer/Darcy problem p. 785

Sergio Carrasco, Sergio Caucao and Gabriel N. Gatica

Published online: 09 April 2026

DOI: https://doi.org/10.1051/m2an/2026016

• Abstract
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Open Access

A mixed finite element method for a class of fourth-order stochastic evolution equations with multiplicative noise p. 827

Beniamin Goldys, Agus Leonardi Soenjaya and Thanh Tran

Published online: 09 April 2026

DOI: https://doi.org/10.1051/m2an/2026018

• Abstract
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Open Access

A strongly mass-conservative method for the coupled Navier-Stokes and Darcy-Forchheimer equations p. 871

Jingyu Liu and Lina Zhao

Published online: 09 April 2026

DOI: https://doi.org/10.1051/m2an/2026021

• Abstract
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Open Access

A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport p. 909

Arne Berrens and Jan Giesselmann

Published online: 17 April 2026

DOI: https://doi.org/10.1051/m2an/2026014

• Abstract
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Open Access

A non-convex variational model for joint polyenergetic ct reconstruction, sensor denoising and material decomposition p. 945

Georgios Papanikos and Benedikt Wirth

Published online: 17 April 2026

DOI: https://doi.org/10.1051/m2an/2026023

• Abstract
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Open Access

Convergence analysis of a balancing domain decomposition method for an elliptic optimal control problem with HDG discretizations p. 981

Sijing Liu and Jinjin Zhang

Published online: 17 April 2026

DOI: https://doi.org/10.1051/m2an/2026024

• Abstract
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Open Access

On local algorithms for electrostatics p. 1021

Bo Li, Qian Yin and Shenggao Zhou

Published online: 29 April 2026

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

• Abstract
• PDF (792.2 KB)
• References
• Former forthcoming PDF

Open Access

Semi-discrete multi-to-one dimensional variational problems p. 1055

Omar Abdul Halim, Daniyar Omarov and Brendan Pass

Published online: 29 April 2026

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

• Abstract
• PDF (2.749 MB)
• References
• Former forthcoming PDF