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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

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

A Gamma-convergence result for fluid-filled fracture propagation

Annika Bach and Liesel Sommer
ESAIM: M2AN, Forthcoming article
Received: 05 February 2019 / Revised: 29 February 2020 / Accepted: 03 March 2020
DOI: https://doi.org/10.1051/m2an/2020016
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 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 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 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

On time-splitting methods for nonlinear Schr\"{o}dinger equation with highly oscillatory potential

Xiaofei Zhao and Chunmei Su
ESAIM: M2AN, Forthcoming article
Received: 31 January 2019 / Revised: 12 September 2019 / Accepted: 20 January 2020
DOI: https://doi.org/10.1051/m2an/2020006
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

Convergence rates of high dimensional Smolyak quadrature

Jakob Zech and Christoph Schwab
ESAIM: M2AN, Forthcoming article
Received: 30 June 2017 / Revised: 23 December 2019 / Accepted: 13 January 2020
DOI: https://doi.org/10.1051/m2an/2020003
Free Access

T-junction of ferroelectric wires

Luciano Carbone, Antonio Gaudiello and Pedro Hernandez-Llanos
ESAIM: M2AN, Forthcoming article
Received: 02 December 2019 / Accepted: 23 December 2019
DOI: https://doi.org/10.1051/m2an/2020001
Free Access

Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation

Yanmei Zhang, Xia Cui and Guangwei Yuan
ESAIM: M2AN, Forthcoming article
Received: 15 April 2019 / Revised: 16 December 2019 / Accepted: 19 December 2019
DOI: https://doi.org/10.1051/m2an/2019095
Free Access

Finite element approximation of elliptic homogenization problems in nondivergence-form

Yves C R Capdeboscq, Timo Sprekeler and Endre Süli
ESAIM: M2AN, Forthcoming article
Received: 28 May 2019 / Revised: 21 October 2019 / Accepted: 18 December 2019
DOI: https://doi.org/10.1051/m2an/2019093
Free Access

Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincare eigenfunctions

Hongyu Liu, Emilia Blasten, Hongjie Li and Yuliang Wang
ESAIM: M2AN, Forthcoming article
Received: 07 May 2019 / Revised: 10 November 2019 / Accepted: 13 December 2019
DOI: https://doi.org/10.1051/m2an/2019091
Free Access

A finite element method for the generalized Ericksen model of nematic liquid crystals

Shawn W Walker
ESAIM: M2AN, Forthcoming article
Received: 07 May 2019 / Revised: 08 October 2019 / Accepted: 13 December 2019
DOI: https://doi.org/10.1051/m2an/2019092
Free Access

Convergence of second-order, entropy stable methods for multi-dimensional conservation laws

Neelabja Chatterjee and Ulrik Skre Fjordholm
ESAIM: M2AN, Forthcoming article
Received: 12 June 2019 / Revised: 05 December 2019 / Accepted: 10 December 2019
DOI: https://doi.org/10.1051/m2an/2019090
Free Access

An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems

Huaiqian You, Xin Yang Lu, Nathaniel Trask and Yue Yu
ESAIM: M2AN, Forthcoming article
Received: 15 March 2019 / Revised: 29 October 2019 / Accepted: 06 December 2019
DOI: https://doi.org/10.1051/m2an/2019089
Free Access

Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology

Hélène Barucq, Florian Faucher and Ha Pham
ESAIM: M2AN, Forthcoming article
Received: 21 August 2019 / Revised: 25 November 2019 / Accepted: 06 December 2019
DOI: https://doi.org/10.1051/m2an/2019088
Free Access

Computation of the magnetic potential induced by a collection of spherical particles using series expansions

Stéphane Balac, Laurent Chupin and Sébastien Martin
ESAIM: M2AN, Forthcoming article
Received: 15 July 2019 / Revised: 26 November 2019 / Accepted: 02 December 2019
DOI: https://doi.org/10.1051/m2an/2019087
Free Access

Analysis of the Morley element for the Cahn-Hilliard equation and the Hele-Shaw flow

Shuonan Wu and Yukun Li
ESAIM: M2AN, Forthcoming article
Received: 17 May 2019 / Revised: 04 November 2019 / Accepted: 01 December 2019
DOI: https://doi.org/10.1051/m2an/2019085
Free Access

Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems

Shunsuke Kurima
ESAIM: M2AN, Forthcoming article
Received: 15 June 2019 / Revised: 22 November 2019 / Accepted: 01 December 2019
DOI: https://doi.org/10.1051/m2an/2019086
Free Access

A remark on Uzawa's algorithm and an application to mean field games systems.

Charles Bertucci
ESAIM: M2AN, Forthcoming article
Received: 12 September 2018 / Revised: 07 September 2019 / Accepted: 29 November 2019
DOI: https://doi.org/10.1051/m2an/2019084
Free Access

Numerical analysis of sparse initial data identification for parabolic problems

Boris Vexler, Dmitriy Leykekhman and Daniel Walter
ESAIM: M2AN, Forthcoming article
Received: 02 May 2019 / Revised: 07 November 2019 / Accepted: 25 November 2019
DOI: https://doi.org/10.1051/m2an/2019083
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
Free Access

Chemotaxis on networks: Analysis and numerical approximation

Herbert Egger and Lukas Schöbel-Kröhn
ESAIM: M2AN, Forthcoming article
Received: 05 October 2018 / Revised: 29 August 2019 / Accepted: 16 September 2019
DOI: https://doi.org/10.1051/m2an/2019069