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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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Free Access

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
Free Access

Projection-based model reduction with dynamically transformed modes

Felix Black, Philipp Schulze and Benjamin Unger
ESAIM: M2AN, Forthcoming article
Received: 23 December 2019 / Revised: 21 June 2020 / Accepted: 01 July 2020
DOI: https://doi.org/10.1051/m2an/2020046
Free Access

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
Free Access

Finite element error analysis of surface stokes equations in stream function formulation

Philip Brandner and Arnold Reusken
ESAIM: M2AN, Forthcoming article
Received: 21 October 2019 / Revised: 24 June 2020 / Accepted: 29 June 2020
DOI: https://doi.org/10.1051/m2an/2020044
Free Access

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
Free Access

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
Free Access

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
Free Access

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
Free Access

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
Free Access

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
Free Access

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
Free Access

The Hessian Riemannian flow and Newton's method for Effective Hamiltonians and Mather measures

Diogo A. Gomes and xianjin yang
ESAIM: M2AN, Forthcoming article
Received: 09 August 2019 / Revised: 31 March 2020 / Accepted: 08 May 2020
DOI: https://doi.org/10.1051/m2an/2020036
Free Access

A parameter-robust iterative method for Stokes-Darcy problems retaining local mass conservation

wietse marijn boon
ESAIM: M2AN, Forthcoming article
Received: 22 July 2019 / Revised: 29 April 2020 / Accepted: 06 May 2020
DOI: https://doi.org/10.1051/m2an/2020035
Free Access

Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction--diffusion problems

Iain Smears and Martin Vohralik
ESAIM: M2AN, Forthcoming article
Received: 17 September 2019 / Revised: 01 May 2020 / Accepted: 04 May 2020
DOI: https://doi.org/10.1051/m2an/2020034
Free Access

Galerkin–collocation approximation in time for the wave equation and its post-processing

Markus Bause, Mathias Anselmann, Gunar Matthies and Simon Becher
ESAIM: M2AN, Forthcoming article
Received: 20 August 2019 / Revised: 09 April 2020 / Accepted: 01 May 2020
DOI: https://doi.org/10.1051/m2an/2020033
Free Access

Geometrically intrinsic modeling of shallow water flows

Elena Bachini and Mario Putti
ESAIM: M2AN, Forthcoming article
Received: 08 July 2019 / Revised: 10 February 2020 / Accepted: 25 April 2020
DOI: https://doi.org/10.1051/m2an/2020031
Free Access

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
Free Access

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
Free Access

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
Free Access

Higher-order finite element approximation of the dynamic Laplacian

Nathanael Schilling, Gary Froyland and Oliver Junge
ESAIM: M2AN, Forthcoming article
Received: 24 July 2019 / Revised: 06 April 2020 / Accepted: 13 April 2020
DOI: https://doi.org/10.1051/m2an/2020027
Free Access

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
Free Access

Some multiple flow direction algorithms for overland flow on general meshes

Julien Coatléven
ESAIM: M2AN, Forthcoming article
Received: 17 September 2019 / Revised: 06 April 2020 / Accepted: 09 April 2020
DOI: https://doi.org/10.1051/m2an/2020025
Free Access

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
Free Access

Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation

Yong Liu, Qi Tao and Chi-Wang Shu
ESAIM: M2AN, Forthcoming article
Received: 24 October 2019 / Revised: 14 March 2020 / Accepted: 04 April 2020
DOI: https://doi.org/10.1051/m2an/2020023
Free Access

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
Free Access

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

Locality of interatomic forces in tight binding models for insulators

Christoph Ortner, Jack Thomas and Huajie Chen
ESAIM: M2AN, Forthcoming article
Received: 17 August 2019 / Revised: 07 February 2020 / Accepted: 24 March 2020
DOI: https://doi.org/10.1051/m2an/2020020
Free Access

Mathematical modelling of Acoustic Radiation Force in transient shear wave elastography in the heart

Federica Caforio and Sébastien Imperiale
ESAIM: M2AN, Forthcoming article
Received: 05 April 2019 / Revised: 20 December 2019 / Accepted: 17 March 2020
DOI: https://doi.org/10.1051/m2an/2020019
Free Access

Numerical algorithm for the model describing anomalous diffusion in expanding media

Daxin Nie, Jing Sun and Weihua Deng
ESAIM: M2AN, Forthcoming article
Received: 12 October 2019 / Revised: 29 January 2020 / Accepted: 11 March 2020
DOI: https://doi.org/10.1051/m2an/2020018
Free Access

High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs

Carlos Jerez-Hanckes and José Pinto
ESAIM: M2AN, Forthcoming article
Received: 23 July 2019 / Revised: 14 February 2020 / Accepted: 11 March 2020
DOI: https://doi.org/10.1051/m2an/2020017
Free Access

Analysis of an hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system

Wei Gong, Weiwei Hu, Mariano Mateos, John Singler and Yangwen Zhang
ESAIM: M2AN, Forthcoming article
Received: 24 August 2019 / Revised: 29 January 2020 / Accepted: 03 March 2020
DOI: https://doi.org/10.1051/m2an/2020015
Free Access

PDE eigenvalue iterations with applications in two-dimensional photonic crystals

Robert Altmann and Marine Froidevaux
ESAIM: M2AN, Forthcoming article
Received: 03 May 2019 / Revised: 30 November 2019 / Accepted: 26 February 2020
DOI: https://doi.org/10.1051/m2an/2020014
Free Access

Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces.

Virginie Ehrlacher, Damiano Lombardi, Olga Mula and François-Xavier Vialard
ESAIM: M2AN, Forthcoming article
Received: 24 September 2019 / Revised: 25 January 2020 / Accepted: 22 February 2020
DOI: https://doi.org/10.1051/m2an/2020013
Free Access

Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise

Mihály Kovács, Annika Lang and Andreas Petersson
ESAIM: M2AN, Forthcoming article
Received: 29 October 2019 / Revised: 12 February 2020 / Accepted: 17 February 2020
DOI: https://doi.org/10.1051/m2an/2020012
Free Access

A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary

Benjamin Boutin, Thi Hoai Thuong Nguyen and Nicolas Seguin
ESAIM: M2AN, Forthcoming article
Received: 22 May 2019 / Revised: 24 January 2020 / Accepted: 11 February 2020
DOI: https://doi.org/10.1051/m2an/2020010
Free Access

A dual hybrid Virtual Element Method for plane elasticity problems

Edoardo Artioli, Stefano de Miranda, Carlo Lovadina and Luca Patruno
ESAIM: M2AN, Forthcoming article
Received: 12 February 2019 / Revised: 01 November 2019 / Accepted: 11 February 2020
DOI: https://doi.org/10.1051/m2an/2020011
Free Access

A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem

Ricardo Oyarzua, Sergio Caucao, Marco Discacciati and Gabriel N. Gatica
ESAIM: M2AN, Forthcoming article
Received: 08 August 2019 / Revised: 05 February 2020 / Accepted: 09 February 2020
DOI: https://doi.org/10.1051/m2an/2020009
Free Access

Trend to equilibrium for systems with small cross-diffusion

Luca Alasio, Helene Ranetbauer, Markus Schmidtchen and Marie-Therese Wolfram
ESAIM: M2AN, Forthcoming article
Received: 19 June 2019 / Revised: 19 January 2020 / Accepted: 04 February 2020
DOI: https://doi.org/10.1051/m2an/2020008
Free Access

A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem

Eligio Colmenares, Gabriel Gatica and Sebastian Moraga
ESAIM: M2AN, Forthcoming article
Received: 11 March 2019 / Revised: 23 January 2020 / Accepted: 24 January 2020
DOI: https://doi.org/10.1051/m2an/2020007
Free Access

Analysis of cell size effects in atomistic crack propagation

Maciej Buze, Thomas Hudson and Christoph Ortner
ESAIM: M2AN, Forthcoming article
Received: 11 July 2019 / Revised: 20 December 2019 / Accepted: 18 January 2020
DOI: https://doi.org/10.1051/m2an/2020005
Free Access

Reduced basis greedy selection using random training sets

Albert Cohen, Dahmen Wolfgang, Ronald DeVore and James Nichols
ESAIM: M2AN, Forthcoming article
Received: 22 October 2018 / Revised: 18 October 2019 / Accepted: 13 January 2020
DOI: https://doi.org/10.1051/m2an/2020004
Free Access

Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs

Shi Jin, Nicolais Crouseilles, Mohammed Lemou and Liu Liu
ESAIM: M2AN, Forthcoming article
Received: 27 June 2018 / Revised: 30 September 2019 / Accepted: 19 December 2019
DOI: https://doi.org/10.1051/m2an/2019094
Free Access

Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems

Marijo Milicevic and Sören Bartels
ESAIM: M2AN, Forthcoming article
Received: 11 February 2019 / Revised: 08 July 2019 / Accepted: 16 October 2019
DOI: https://doi.org/10.1051/m2an/2019074