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.

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New pipe element based on Hermite-Jackson interpolation

ESAIM: M2AN, Forthcoming article
Received: 17 January 2023 / Revised: 05 March 2024 / Accepted: 08 April 2024
DOI: https://doi.org/10.1051/m2an/2024027

Structure-preserving reduced order model for cross-diffusion systems

ESAIM: M2AN, Forthcoming article
Received: 15 June 2022 / Revised: 04 March 2024 / Accepted: 08 April 2024
DOI: https://doi.org/10.1051/m2an/2024026

Numerical analysis of a nonsmooth quasilinear elliptic control problem: I. Explicit second-order optimality conditions

ESAIM: M2AN, Forthcoming article
Received: 30 March 2022 / Revised: 12 September 2023 / Accepted: 08 April 2024
DOI: https://doi.org/10.1051/m2an/2024025

On the convergence of discrete dynamic unbalanced transport models

ESAIM: M2AN, Forthcoming article
Received: 19 November 2023 / Revised: 20 March 2024 / Accepted: 04 April 2024
DOI: https://doi.org/10.1051/m2an/2024024

An interface formulation for the Poisson equation in the presence of a semiconducting single-layer material

ESAIM: M2AN, Forthcoming article
Received: 25 January 2023 / Revised: 13 January 2024 / Accepted: 21 March 2024
DOI: https://doi.org/10.1051/m2an/2024021

An exact in time Fourier pseudospectral method with multiple conservation laws for three-dimensional Maxwell’s equations

ESAIM: M2AN, Forthcoming article
Received: 15 September 2023 / Revised: 07 March 2024 / Accepted: 20 March 2024
DOI: https://doi.org/10.1051/m2an/2024022

Duality analysis of interior penalty discontinuous Galerkin methods under minimal regularity and application to the a priori and a posteriori error analysis of Helmholtz problems

ESAIM: M2AN, Forthcoming article
Received: 30 August 2022 / Revised: 07 November 2023 / Accepted: 13 March 2024
DOI: https://doi.org/10.1051/m2an/2024019

Optimized Schwarz Waveform Relaxation method for the incompressible Stokes problem

ESAIM: M2AN, Forthcoming article
Received: 24 May 2023 / Revised: 15 January 2024 / Accepted: 13 March 2024
DOI: https://doi.org/10.1051/m2an/2024020

Existence and uniqueness of the motion of a particle subject to a unilateral constraint and friction

ESAIM: M2AN, Forthcoming article
Received: 02 February 2024 / Revised: 08 March 2024 / Accepted: 11 March 2024
DOI: https://doi.org/10.1051/m2an/2024018

Unconditionally optimal error estimates of linearized Crank-Nicolson Virtual element methods for quasilinear parabolic problems on general polygonal meshes

ESAIM: M2AN, Forthcoming article
Received: 21 November 2023 / Revised: 06 March 2024 / Accepted: 08 March 2024
DOI: https://doi.org/10.1051/m2an/2024017

A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations

ESAIM: M2AN, Forthcoming article
Received: 27 February 2023 / Revised: 18 January 2024 / Accepted: 05 March 2024
DOI: https://doi.org/10.1051/m2an/2024016

Multi-step variant of the parareal algorithm: convergence analysis and numerics

ESAIM: M2AN, Forthcoming article
Received: 26 February 2023 / Revised: 30 January 2024 / Accepted: 01 March 2024
DOI: https://doi.org/10.1051/m2an/2024014

The least squares finite element method for elasticity interface problem on unfitted mesh

ESAIM: M2AN, Forthcoming article
Received: 17 July 2023 / Revised: 01 March 2024 / Accepted: 01 March 2024
DOI: https://doi.org/10.1051/m2an/2024015

An optimization-based method for sign-changing elliptic PDEs

ESAIM: M2AN, Forthcoming article
Received: 25 June 2023 / Revised: 04 February 2024 / Accepted: 27 February 2024
DOI: https://doi.org/10.1051/m2an/2024013

Energy stable and structure-preserving schemes for the stochastic Galerkin shallow water equations

ESAIM: M2AN, Forthcoming article
Received: 09 October 2023 / Revised: 16 February 2024 / Accepted: 22 February 2024
DOI: https://doi.org/10.1051/m2an/2024012

Solving reaction-diffusion problems with explicit Runge-Kutta exponential methods without order reduction

ESAIM: M2AN, Forthcoming article
Received: 19 June 2023 / Revised: 03 December 2023 / Accepted: 06 February 2024
DOI: https://doi.org/10.1051/m2an/2024011

Implicit like time discretization for the one-phase Hele-Shaw problem with surface tension

ESAIM: M2AN, Forthcoming article
Received: 10 May 2023 / Revised: 20 November 2023 / Accepted: 11 January 2024
DOI: https://doi.org/10.1051/m2an/2024005

Discrete Quantum Harmonic oscillator and Kravchuk transform

ESAIM: M2AN, Forthcoming article
Received: 24 April 2023 / Revised: 30 December 2023 / Accepted: 31 December 2023
DOI: https://doi.org/10.1051/m2an/2024001

Quasi-local and frequency robust preconditioners for the Helmholtz first-kind integral equations on the disk

ESAIM: M2AN, Forthcoming article
Received: 18 July 2022 / Revised: 31 May 2023 / Accepted: 19 December 2023
DOI: https://doi.org/10.1051/m2an/2023105

Uncertainty quantification for Fisher-Kolmogorov equation on graphs with application to patient-specific Alzheimer's disease

ESAIM: M2AN, Forthcoming article
Received: 05 May 2023 / Revised: 12 September 2023 / Accepted: 17 November 2023
DOI: https://doi.org/10.1051/m2an/2023095

PDE-convergence in Euclidean norm of AMF-W methods for linear multidimensional parabolic problems

ESAIM: M2AN, Forthcoming article
Received: 29 December 2022 / Revised: 15 August 2023 / Accepted: 15 November 2023
DOI: https://doi.org/10.1051/m2an/2023094