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Forthcoming articles

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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Further results on a space-time FOSLS formulation of parabolic PDEs

Gregor Gantner and Rob Stevenson
ESAIM: M2AN, Forthcoming article
Received: 20 May 2020 / Revised: 07 November 2020 / Accepted: 08 December 2020
DOI: https://doi.org/10.1051/m2an/2020084

Non-local variant of the Optimised Schwarz Method for arbitrary non-overlapping subdomain partitions

Xavier Claeys
ESAIM: M2AN, Forthcoming article
Received: 11 October 2019 / Revised: 05 October 2020 / Accepted: 03 December 2020
DOI: https://doi.org/10.1051/m2an/2020083

Hyperbolic models for the spread of epidemics on networks: kinetic description and numerical methods

Giulia Bertaglia and Lorenzo Pareschi
ESAIM: M2AN, Forthcoming article
Received: 06 August 2020 / Revised: 16 October 2020 / Accepted: 24 November 2020
DOI: https://doi.org/10.1051/m2an/2020082

Unified analysis of discontinuous Galerkin and $C^0$-interior penalty finite element methods for Hamilton--Jacobi--Bellman and Isaacs equations

Ellya L. Kawecki and Iain Smears
ESAIM: M2AN, Forthcoming article
Received: 15 June 2020 / Revised: 13 October 2020 / Accepted: 24 November 2020
DOI: https://doi.org/10.1051/m2an/2020081

An iterative method for elliptic problems with rapidly oscillating coefficients

Scott Armstrong, Antti Hannukainen, Tuomo Kuusi and Jean-Christophe Mourrat
ESAIM: M2AN, Forthcoming article
Received: 27 March 2020 / Revised: 10 September 2020 / Accepted: 19 November 2020
DOI: https://doi.org/10.1051/m2an/2020080

On the stability of Scott-Zhang type operators and application to multilevel preconditioning in fractional diffusion

Markus Faustmann, Jens Markus Melenk and Maryam Parvizi
ESAIM: M2AN, Forthcoming article
Received: 19 December 2019 / Revised: 26 June 2020 / Accepted: 13 November 2020
DOI: https://doi.org/10.1051/m2an/2020079

Viscoelastic flows of Maxwell fluids with conservation laws

Sebastien Boyaval
ESAIM: M2AN, Forthcoming article
Received: 11 December 2017 / Revised: 28 July 2020 / Accepted: 10 November 2020
DOI: https://doi.org/10.1051/m2an/2020076

Error estimation of the Besse relaxation scheme for a semilinear heat equation

Georgios Zouraris
ESAIM: M2AN, Forthcoming article
Received: 14 February 2019 / Revised: 10 November 2020 / Accepted: 10 November 2020
DOI: https://doi.org/10.1051/m2an/2020077

Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics

Aihui Zhou and Bin Ying
ESAIM: M2AN, Forthcoming article
Received: 30 July 2019 / Revised: 20 July 2020 / Accepted: 10 November 2020
DOI: https://doi.org/10.1051/m2an/2020078

Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs

tommaso taddei and Lei Zhang
ESAIM: M2AN, Forthcoming article
Received: 14 April 2020 / Revised: 01 September 2020 / Accepted: 16 October 2020
DOI: https://doi.org/10.1051/m2an/2020073

Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order

Buyang Li, Hong Wang and Jilu Wang
ESAIM: M2AN, Forthcoming article
Received: 23 April 2020 / Revised: 14 July 2020 / Accepted: 05 October 2020
DOI: https://doi.org/10.1051/m2an/2020072

Quantification of model uncertainty on path-space via goal-oriented relative entropy

Jeremiah Birrell, Markos A. Katsoulakis and Luc Rey-Bellet
ESAIM: M2AN, Forthcoming article
Received: 27 March 2020 / Revised: 02 September 2020 / Accepted: 05 October 2020
DOI: https://doi.org/10.1051/m2an/2020070

Central discontinuous Galerkin methods on overlapping meshes for wave equations

Yong Liu, Jianfang Lu, Chi-Wang Shu and Mengping Zhang
ESAIM: M2AN, Forthcoming article
Received: 05 April 2020 / Revised: 15 September 2020 / Accepted: 17 September 2020
DOI: https://doi.org/10.1051/m2an/2020069

Mixed methods for degenerate elliptic problems and application to fractional Laplacian

María Eugenia Cejas, Ricardo Durán and Mariana Prieto
ESAIM: M2AN, Forthcoming article
Received: 23 April 2020 / Revised: 14 August 2020 / Accepted: 08 September 2020
DOI: https://doi.org/10.1051/m2an/2020068

Asymptotic analysis for periodic perforated shells

Michael Hauck, Julia Orlik and Georges Griso
ESAIM: M2AN, Forthcoming article
Received: 06 November 2019 / Revised: 21 July 2020 / Accepted: 03 September 2020
DOI: https://doi.org/10.1051/m2an/2020067

Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources

Ignacio Ojea
ESAIM: M2AN, Forthcoming article
Received: 14 August 2019 / Revised: 22 August 2020 / Accepted: 01 September 2020
DOI: https://doi.org/10.1051/m2an/2020065

On the locking-free three-field virtual element methods for Biot's consolidation model in poroelasticity

Xialan Tang, Zhibin Liu, Baiju Zhang and Minfu Feng
ESAIM: M2AN, Forthcoming article
Received: 23 February 2020 / Revised: 13 July 2020 / Accepted: 28 August 2020
DOI: https://doi.org/10.1051/m2an/2020064

Nitsche based models for the unilateral contact of plates

cedric pozzolini, Mathieu Fabre and Yves Renard
ESAIM: M2AN, Forthcoming article
Received: 03 April 2020 / Revised: 19 July 2020 / Accepted: 25 August 2020
DOI: https://doi.org/10.1051/m2an/2020063

Space time stabilized finite element methods for a unique continuation problem subject to the wave equation

Erik Burman, Ali Feizmohammadi, Arnaud Munch and Lauri Oksanen
ESAIM: M2AN, Forthcoming article
Received: 02 December 2019 / Revised: 20 May 2020 / Accepted: 25 August 2020
DOI: https://doi.org/10.1051/m2an/2020062

Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics

Peter Gangl and Kevin Sturm
ESAIM: M2AN, Forthcoming article
Received: 28 August 2019 / Revised: 30 June 2020 / Accepted: 17 August 2020
DOI: https://doi.org/10.1051/m2an/2020060

A polygonal discontinuous Galerkin method with minus one stabilization

Silvia Bertoluzza and Daniele Prada
ESAIM: M2AN, Forthcoming article
Received: 26 September 2019 / Revised: 07 August 2020 / Accepted: 12 August 2020
DOI: https://doi.org/10.1051/m2an/2020059

Numerical upscaling for heterogeneous materials in fractured domains

Fredrik Hellman, Axel Målqvist and Siyang Wang
ESAIM: M2AN, Forthcoming article
Received: 10 August 2019 / Revised: 17 July 2020 / Accepted: 11 August 2020
DOI: https://doi.org/10.1051/m2an/2020061

Nonlinear methods for model reduction

Peter Jantsch, Andrea Bonito, Albert Cohen, Ronald DeVore, Diane Guignard and Guergana Petrova
ESAIM: M2AN, Forthcoming article
Received: 11 May 2020 / Accepted: 03 August 2020
DOI: https://doi.org/10.1051/m2an/2020057

An integral equation formulation of the N-body dielectric spheres problem. Part 2: Complexity analysis

Bérenger Bramas, Muhammad Hassan and Benjamin Stamm
ESAIM: M2AN, Forthcoming article
Received: 15 November 2019 / Revised: 18 July 2020 / Accepted: 31 July 2020
DOI: https://doi.org/10.1051/m2an/2020055

An asymptotic model based on matching far and near field expansions for thin gratings problems

Peter B. Monk, Cinthya Rivas, Rodolfo Rodríguez and Manuel Solano
ESAIM: M2AN, Forthcoming article
Received: 16 October 2019 / Revised: 11 June 2020 / Accepted: 28 July 2020
DOI: https://doi.org/10.1051/m2an/2020053

Analytical and numerical bifurcation analysis of a forest ecosystem model with human interaction

Konstantinos Spiliotis, Lucia Russo, Francesco Giannino and Constantinos Siettos
ESAIM: M2AN, Forthcoming article
Received: 25 October 2019 / Revised: 16 June 2020 / Accepted: 28 July 2020
DOI: https://doi.org/10.1051/m2an/2020054

Discrete transparent boundary conditions for the two-dimensional leap-frog scheme

Christophe Besse, Jean-Francois Coulombel and Pascal Noble
ESAIM: M2AN, Forthcoming article
Received: 06 September 2019 / Revised: 16 July 2020 / Accepted: 25 July 2020
DOI: https://doi.org/10.1051/m2an/2020052

Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states

Petr Plechac, Gabriel Stoltz and Ting Wang
ESAIM: M2AN, Forthcoming article
Received: 07 February 2020 / Accepted: 23 July 2020
DOI: https://doi.org/10.1051/m2an/2020050

Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics

Bin Cheng, Qiangchang Ju and Steven Schochet
ESAIM: M2AN, Forthcoming article
Received: 10 March 2020 / Accepted: 23 July 2020
DOI: https://doi.org/10.1051/m2an/2020051

General polytopal H(div)-conformal finite elements and their discretisation spaces.

Elise Le Meledo, Philipp Öffner and Remi Abgrall
ESAIM: M2AN, Forthcoming article
Received: 17 October 2019 / Revised: 16 July 2020 / Accepted: 18 July 2020
DOI: https://doi.org/10.1051/m2an/2020048

Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems

Ahmad EL HAJJ, Rachida Boudjerada and Aya Oussayli
ESAIM: M2AN, Forthcoming article
Received: 11 February 2020 / Revised: 16 May 2020 / Accepted: 13 July 2020
DOI: https://doi.org/10.1051/m2an/2020049

Asymptotic behavior of acoustic waves scattered by very small obstacles

Hélène Barucq, Julien Diaz, Vanessa Mattesi and Sebastien Tordeux
ESAIM: M2AN, Forthcoming article
Received: 03 April 2020 / Revised: 22 June 2020 / Accepted: 05 July 2020
DOI: https://doi.org/10.1051/m2an/2020047

Error analysis of a conforming and locking-free four-field formulation for the stationary Biot's model

Ricardo Oyarzúa, Sander Rhebergen, Manuel Solano and Paulo Zúñiga
ESAIM: M2AN, Forthcoming article
Received: 02 December 2019 / Revised: 20 June 2020 / Accepted: 29 June 2020
DOI: https://doi.org/10.1051/m2an/2020045

Operator splitting around Euler-Maruyama scheme and high order discretization of heat kernels

Toshihiro Yamada and Yuga Iguchi
ESAIM: M2AN, Forthcoming article
Received: 01 July 2019 / Revised: 29 February 2020 / Accepted: 25 June 2020
DOI: https://doi.org/10.1051/m2an/2020043

Explicit solutions to a free interface model for the static/flowing transition in thin granular flows

Christelle Lusso, Francois Bouchut, Alexandre Ern and Anne Mangeney
ESAIM: M2AN, Forthcoming article
Received: 08 October 2019 / Revised: 04 May 2020 / Accepted: 22 June 2020
DOI: https://doi.org/10.1051/m2an/2020042

Guaranteed and robust {$L^2$}-norm a posteriori error estimates for {1D} linear advection problems

Alexndre Ern, Martin Vohralík and Mohammad Zakerzadeh
ESAIM: M2AN, Forthcoming article
Received: 21 April 2019 / Revised: 30 March 2020 / Accepted: 10 June 2020
DOI: https://doi.org/10.1051/m2an/2020041

Staggered explicit-implicit time-discretisation for elastodynamics with dissipative internal variables

Tomas Roubicek and Chrysoula Tsogka
ESAIM: M2AN, Forthcoming article
Received: 16 October 2019 / Revised: 29 April 2020 / Accepted: 05 June 2020
DOI: https://doi.org/10.1051/m2an/2020040

Numerical analysis for a chemotaxis-Navier-Stokes system

Abelardo Duarte-Rodríguez, María A. Rodríguez-Bellido, Diego A. Rueda-Gómez and Élder J. Villamizar-Roa
ESAIM: M2AN, Forthcoming article
Received: 21 October 2019 / Revised: 17 May 2020 / Accepted: 04 June 2020
DOI: https://doi.org/10.1051/m2an/2020039

Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem

Ramon Codina and Laura Moreno
ESAIM: M2AN, Forthcoming article
Received: 19 February 2020 / Revised: 15 May 2020 / Accepted: 26 May 2020
DOI: https://doi.org/10.1051/m2an/2020038

A four-field three-phase flow model with both miscible and immiscible components

Jean-Marc Hérard, Olivier Hurisse and Lucie Quibel
ESAIM: M2AN, Forthcoming article
Received: 09 January 2020 / Revised: 15 April 2020 / Accepted: 25 May 2020
DOI: https://doi.org/10.1051/m2an/2020037

An integral equation formulation of the N-body dielectric spheres problem. Part 1: Numerical analysis

Muhammad Hassan and Benjamin Stamm
ESAIM: M2AN, Forthcoming article
Received: 04 February 2019 / Revised: 08 January 2020 / Accepted: 25 April 2020
DOI: https://doi.org/10.1051/m2an/2020030

Error analysis of a fully discrete finite element method for incompressible flow with variable density

Wentao Cai, Buyang Li and Ying Li
ESAIM: M2AN, Forthcoming article
Received: 18 November 2018 / Revised: 03 December 2019 / Accepted: 17 April 2020
DOI: https://doi.org/10.1051/m2an/2020029

A convergent convex splitting scheme for a nonlocal Cahn--Hilliard--Oono type equation with a transport term

Hussein Fakih, Laurence Cherfils, Alain Miranville and Maurizio Grasselli
ESAIM: M2AN, Forthcoming article
Received: 29 June 2018 / Revised: 05 March 2020 / Accepted: 17 April 2020
DOI: https://doi.org/10.1051/m2an/2020028

A local discontinuous Galerkin method for nonlinear parabolic SPDEs

Yunzhang Li, Chi-Wang Shu and Shanjian Tang
ESAIM: M2AN, Forthcoming article
Received: 18 May 2019 / Revised: 05 April 2020 / Accepted: 13 April 2020
DOI: https://doi.org/10.1051/m2an/2020026

Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids

Antti Hannukainen, Jean-Christophe Mourrat and Harmen T. Stoppels
ESAIM: M2AN, Forthcoming article
Received: 19 June 2019 / Revised: 08 January 2020 / Accepted: 05 April 2020
DOI: https://doi.org/10.1051/m2an/2020024

Numerical approximations for a fully fractional Allen-Cahn equation

Gabriel Acosta and Francisco Bersetche
ESAIM: M2AN, Forthcoming article
Received: 29 March 2019 / Revised: 27 February 2020 / Accepted: 30 March 2020
DOI: https://doi.org/10.1051/m2an/2020022

On a class of splines free of Gibbs phenomenon

Sergio Amat, Juan Ruiz, Chi-Wang Shu and Juan Carlos Trillo
ESAIM: M2AN, Forthcoming article
Received: 08 April 2019 / Revised: 08 February 2020 / Accepted: 28 March 2020
DOI: https://doi.org/10.1051/m2an/2020021
Free Access
Erratum

Erratum to ``A C1-P2 finite element without nodal basis''

Shangyou Zhang
ESAIM: M2AN, Forthcoming article
Received: 24 November 2019 / Revised: 11 February 2020 / Accepted: 17 February 2020
DOI: https://doi.org/10.1051/m2an/2020066