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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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