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ESAIM: Mathematical Modelling and Numerical Analysis

Accepted manuscripts


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Inverting Laguerre tessellations: Recovering tessellations from the volumes and centroids of their cells using optimal transport

David Bourne, Mason Pearce and Steven Roper
Received: 17 May 2024 / Revised: 08 January 2025 / Accepted: 15 January 2025
DOI: https://doi.org/10.1051/m2an/2025004

Homogenized lattice Boltzmann methods for fluid flow through porous media -- part I: kinetic model derivation

Stephan Simonis, Nicolas Hafen, Julius Jeßberger, Davide Dapelo, Gudrun Thäter and Mathias Krause
Received: 04 December 2023 / Revised: 01 October 2024 / Accepted: 20 January 2025
DOI: https://doi.org/10.1051/m2an/2025005

A new error analysis for parabolic Dirichlet boundary control problems

Dongdong Liang, Wei Gong and Xiaoping Xie
Received: 02 January 2024 / Revised: 09 November 2024 / Accepted: 20 January 2025
DOI: https://doi.org/10.1051/m2an/2025006

Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis

Christophe Besse, Romain Duboscq and Stefan Le Coz
Received: 05 July 2023 / Revised: 06 November 2024 / Accepted: 02 February 2025
DOI: https://doi.org/10.1051/m2an/2025009

Low regularity error estimates of three pressure-robust discontinuous Galerkin methods for Stokes equations

Yuping Zeng and Shangyou Zhang
Received: 11 July 2024 / Revised: 10 December 2024 / Accepted: 04 February 2025
DOI: https://doi.org/10.1051/m2an/2025010

A uniformly accurate exponential wave integrator method for the nonlinear Klein-Gordon equation with highly oscillatory potential

Jiyong Li, Xi Zhu and Bin Wang
Received: 03 June 2024 / Revised: 08 February 2025 / Accepted: 11 February 2025
DOI: https://doi.org/10.1051/m2an/2025011

(Fully) well-balanced entropy stable Godunov numerical schemes for the shallow water equations.

ludovic Martaud and Christophe Berthon
Received: 21 February 2024 / Revised: 29 November 2024 / Accepted: 19 February 2025
DOI: https://doi.org/10.1051/m2an/2025012

Analysis of a VEM--fully discrete polytopal scheme with bubble stabilisation for contact mechanics with Tresca friction

Ali Haidar, Roland Masson and Jerome Droniou
Received: 03 April 2024 / Revised: 05 December 2024 / Accepted: 26 February 2025
DOI: https://doi.org/10.1051/m2an/2025013

Nitsche extended finite element method of a Ventcel transmission problem with discontinuities at the interface

Daniela Capatina, Fabien Caubet, Marc Dambrine and Rodrigo Zelada Mancini
Received: 24 May 2024 / Revised: 21 February 2025 / Accepted: 03 March 2025
DOI: https://doi.org/10.1051/m2an/2025014

Error estimates for a helicity-preserving finite element discretisation of an incompressible magnetohydrodynamics system

Lourenço Beirão da Veiga, Kaibo Hu and Lorenzo Mascotto
Received: 29 July 2024 / Revised: 27 December 2024 / Accepted: 03 March 2025
DOI: https://doi.org/10.1051/m2an/2025015

The solution method and its accuracy for a nonlinear Timoshenko axisymmetric shell model

Jemal Peradze and nikoloz kachakhidze
Received: 05 June 2024 / Revised: 27 December 2024 / Accepted: 06 March 2025
DOI: https://doi.org/10.1051/m2an/2025016

A multilayer shallow water model for tsunamis and coastal forest interaction

Raimund Bürger, Enrique D. Ferández-Nieto and Jorge Moya
Received: 07 May 2024 / Revised: 06 March 2025 / Accepted: 07 March 2025
DOI: https://doi.org/10.1051/m2an/2025017

Convergence of a Riemannian gradient method for the Gross-Pitaevskii energy functional in a rotating frame

Patrick Henning and Mahima Yadav
Received: 17 October 2024 / Revised: 25 January 2025 / Accepted: 16 March 2025
DOI: https://doi.org/10.1051/m2an/2025018