ESAIM: Mathematical Modelling and Numerical Analysis

Open Access

A variant of the Raviart–Thomas method to handle smooth domains using straight-edged triangles p. 1791

Fleurianne Bertrand and Vitoriano Ruas

Published online: 04 July 2025

DOI: https://doi.org/10.1051/m2an/2025028

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Open Access

Stability analysis of the Eulerian–Lagrangian finite volume methods for nonlinear hyperbolic equations in one space dimension p. 1831

Yang Yang, Jiajie Chen and Jing-Mei Qiu

Published online: 04 July 2025

DOI: https://doi.org/10.1051/m2an/2025044

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Open Access

Implicit kinetic schemes for the Saint-Venant system p. 1863

Chourouk El Hassanieh, Mathieu Rigal and Jacques Sainte-Marie

Published online: 14 July 2025

DOI: https://doi.org/10.1051/m2an/2025038

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Open Access

Subspace and auxiliary space preconditioners for high-order interior penalty discretizations in H(div) p. 1909

Will Pazner

Published online: 14 July 2025

DOI: https://doi.org/10.1051/m2an/2025045

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Open Access

Damped Energy-norm a posteriori error estimates using C²-reconstructions for the fully discrete wave equation with the leapfrog scheme p. 1937

Théophile Chaumont-Frelet and Alexandre Ern

Published online: 17 July 2025

DOI: https://doi.org/10.1051/m2an/2025027

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Open Access

Finite element approximation to the non-stationary quasi-geostrophic equation p. 1973

Dohyun Kim, Amiya Kumar Pani and Eun-Jae Park

Published online: 17 July 2025

DOI: https://doi.org/10.1051/m2an/2025040

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Open Access

Residual-based a posteriori error analysis of a Taylor–Hood discretization of the Reissner–Mindlin plate p. 2005

Dietmar Gallistl and Mira Schedensack

Published online: 17 July 2025

DOI: https://doi.org/10.1051/m2an/2025047

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Open Access

A microscopic derivation of a traffic flow model on a junction with two entry lines p. 2021

Pierre Cardaliaguet

Published online: 17 July 2025

DOI: https://doi.org/10.1051/m2an/2025051

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Open Access

Offline-online approximation of multiscale eigenvalue problems with random defects p. 2055

Dilini Kolombage and Barbara Verfürth

Published online: 23 July 2025

DOI: https://doi.org/10.1051/m2an/2025046

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Open Access

A multipoint perturbation formula for eigenvalue problems p. 2081

Geneviéve Dusson, Louis Garrigue and Benjamin Stamm

Published online: 24 July 2025

DOI: https://doi.org/10.1051/m2an/2025048

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Open Access

Three parameter-robust virtual element numerical schemes for a Stokes–Biot fluid-poroelastic structure interaction model p. 2111

Xin Liu, Qixuan Song, Yiqiang Li and Junfeng Zhao

Published online: 23 July 2025

DOI: https://doi.org/10.1051/m2an/2025055

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Open Access

Convergence analysis of approximate shape gradients for shape optimization in parabolic problems p. 2141

Jiajie Li, Wan Li and Shengfeng Zhu

Published online: 23 July 2025

DOI: https://doi.org/10.1051/m2an/2025058

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Open Access

On the breathing of spectral bands in periodic quantum waveguides with inflating resonators p. 2171

Lucas Chesnel and Sergei A. Nazarov

Published online: 31 July 2025

DOI: https://doi.org/10.1051/m2an/2025049

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Open Access

Uniform in time convergence of numerical schemes for stochastic differential equations via strong exponential stability: Euler methods, split-step and tamed schemes p. 2207

Letizia Angeli, Dan Crisan and Michela Ottobre

Published online: 31 July 2025

DOI: https://doi.org/10.1051/m2an/2025052

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Open Access

Flux gobalization based well-balanced path-conservative central-upwind schemes for the shallow water flows in channels with arbitrary cross-section p. 2253

Alexander Kurganov and Mingye Na

Published online: 31 July 2025

DOI: https://doi.org/10.1051/m2an/2025053

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Open Access

Existence, uniqueness, and numerical solutions of the nonlinear periodic westervelt equation p. 2279

Benjamin Rainer and Barbara Kaltenbacher

Published online: 31 July 2025

DOI: https://doi.org/10.1051/m2an/2025059

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Open Access

Strong error estimates for a fully discrete SAV scheme for the stochastic Allen–Cahn equation with multiplicative noise p. 2305

Stefan Metzger

Published online: 06 August 2025

DOI: https://doi.org/10.1051/m2an/2025050

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