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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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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

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

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

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

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

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

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

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

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

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

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

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

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

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

Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium

Weiying Zheng, Xiaoqi Duan and Xue Jiang
ESAIM: M2AN, Forthcoming article
Received: 30 April 2019 / Revised: 14 October 2019 / Accepted: 22 November 2019
DOI: https://doi.org/10.1051/m2an/2019082

Stochastic homogenization of a scalar viscoelastic model exhibiting stress-strain hysteresis

Thomas Hudson, Frederic Legoll and Tony Lelièvre
ESAIM: M2AN, Forthcoming article
Received: 15 February 2018 / Revised: 08 October 2019 / Accepted: 19 November 2019
DOI: https://doi.org/10.1051/m2an/2019081

Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using $P^k$ elements

Yong Liu, Chi-Wang Shu and Mengping Zhang
ESAIM: M2AN, Forthcoming article
Received: 25 July 2019 / Revised: 25 September 2019 / Accepted: 19 November 2019
DOI: https://doi.org/10.1051/m2an/2019080

Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations.

Juliette Chabassier, Julien Diaz and Sébastien Imperiale
ESAIM: M2AN, Forthcoming article
Received: 03 August 2018 / Revised: 22 May 2019 / Accepted: 06 November 2019
DOI: https://doi.org/10.1051/m2an/2019079

Exact simulation of first exit times for one-dimensional diffusion processes

Samuel Herrmann and Cristina Zucca
ESAIM: M2AN, Forthcoming article
Received: 09 May 2019 / Revised: 25 September 2019 / Accepted: 24 October 2019
DOI: https://doi.org/10.1051/m2an/2019077
Review

Numerical approximations for fractional elliptic equations via the method of semigroups

Nicole Cusimano, Félix del Teso and Luca Gerardo-Giorda
ESAIM: M2AN, Forthcoming article
Received: 29 December 2018 / Revised: 08 June 2019 / Accepted: 23 October 2019
DOI: https://doi.org/10.1051/m2an/2019076

Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations

EL Houssaine QUENJEL
ESAIM: M2AN, Forthcoming article
Received: 17 May 2019 / Revised: 18 September 2019 / Accepted: 17 October 2019
DOI: https://doi.org/10.1051/m2an/2019075

On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates

Laurent Bourgeois and Lucas Chesnel
ESAIM: M2AN, Forthcoming article
Received: 20 June 2019 / Revised: 14 October 2019 / Accepted: 15 October 2019
DOI: https://doi.org/10.1051/m2an/2019073

A Nitsche-based formulation for fluid-structure interactions with contact

Stefan Frei, Erik Burman and Miguel A. Fernández
ESAIM: M2AN, Forthcoming article
Received: 21 February 2019 / Revised: 25 July 2019 / Accepted: 14 October 2019
DOI: https://doi.org/10.1051/m2an/2019072

A minimum entropy principle in the compressible multicomponent Euler equations

Ayoub Gouasmi, Karthik Duraisamy, Scott Murman and Eitan Tadmor
ESAIM: M2AN, Forthcoming article
Received: 20 June 2019 / Revised: 28 August 2019 / Accepted: 19 September 2019
DOI: https://doi.org/10.1051/m2an/2019070

Up-wind difference approximation and singularity formation for a slow erosion model

Giuseppe Maria Coclite, Francesco Gargano and Vincenzo Sciacca
ESAIM: M2AN, Forthcoming article
Received: 30 July 2018 / Revised: 04 September 2019 / Accepted: 10 September 2019
DOI: https://doi.org/10.1051/m2an/2019068

Continuum limit of the nonlocal $p$-Laplacian evolution problem on random inhomogeneous graphs

Yosra Hafiene, Jalal Fadili, Christophe Chesneau and Abder Elmoataz
ESAIM: M2AN, Forthcoming article
Received: 26 April 2019 / Revised: 21 August 2019 / Accepted: 31 August 2019
DOI: https://doi.org/10.1051/m2an/2019066

Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise

Di Fang and Lei Li
ESAIM: M2AN, Forthcoming article
Received: 10 January 2019 / Revised: 15 July 2019 / Accepted: 31 August 2019
DOI: https://doi.org/10.1051/m2an/2019067

Non-linear analysis of a model for yeast cell communication

Vincent Calvez, Thomas Lepoutre, Nicolas Meunier and Nicolas Muller
ESAIM: M2AN, Forthcoming article
Received: 10 April 2019 / Revised: 12 August 2019 / Accepted: 29 August 2019
DOI: https://doi.org/10.1051/m2an/2019065

A new methodology to create valid time-dependent correlation matrices via isospectral flows

Long Teng, Xueran Wu, Michael Günther and Matthias Ehrhardt
ESAIM: M2AN, Forthcoming article
Received: 29 January 2019 / Revised: 01 August 2019 / Accepted: 29 August 2019
DOI: https://doi.org/10.1051/m2an/2019064

Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity

Sarvesh Kumar, Ricardo Oyarzua, Ricardo Ruiz Baier and Ruchi Sandilya
ESAIM: M2AN, Forthcoming article
Received: 01 November 2018 / Revised: 01 August 2019 / Accepted: 29 August 2019
DOI: https://doi.org/10.1051/m2an/2019063

Well–posedness of a non-local model for material flow on conveyor belts

Elena Rossi, Jennifer Kötz, Paola Goatin and Simone Göttlich
ESAIM: M2AN, Forthcoming article
Received: 20 February 2019 / Revised: 09 July 2019 / Accepted: 26 August 2019
DOI: https://doi.org/10.1051/m2an/2019062

Long-time behavior of numerical solutions to nonlinear fractional ODEs

Dongling Wang, Aiguo Xiao and Jun Zou
ESAIM: M2AN, Forthcoming article
Received: 08 July 2018 / Revised: 24 July 2019 / Accepted: 24 August 2019
DOI: https://doi.org/10.1051/m2an/2019055

A variational formulation for computing shape derivatives of geometric constraints along rays

Florian Feppon, Grégoire Allaire and charles dapogny
ESAIM: M2AN, Forthcoming article
Received: 24 September 2018 / Revised: 13 July 2019 / Accepted: 24 August 2019
DOI: https://doi.org/10.1051/m2an/2019056

A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection

Cheng Wang, Wenbin Chen, Weijia Li, Zhiwen Luo and Xiaoming Wang
ESAIM: M2AN, Forthcoming article
Received: 26 March 2019 / Revised: 20 July 2019 / Accepted: 22 August 2019
DOI: https://doi.org/10.1051/m2an/2019054

Periodic solutions of a hysteresis model for breathing

Michela Eleuteri, Erica Ipocoana, Jana Kopfova and Pavel Krejci
ESAIM: M2AN, Forthcoming article
Received: 01 February 2019 / Revised: 15 July 2019 / Accepted: 21 August 2019
DOI: https://doi.org/10.1051/m2an/2019060

Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters

Guillaume Delay
ESAIM: M2AN, Forthcoming article
Received: 04 December 2018 / Revised: 17 July 2019 / Accepted: 01 August 2019
DOI: https://doi.org/10.1051/m2an/2019059

Finite element approximation of an obstacle problem for a class of integro--differential operators

Andrea Bonito, Wenyu Lei and Abner Salgado
ESAIM: M2AN, Forthcoming article
Received: 04 August 2018 / Accepted: 01 August 2019
DOI: https://doi.org/10.1051/m2an/2019058

Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation

Francis Collino, Patrick Joly and Matthieu Lecouvez
ESAIM: M2AN, Forthcoming article
Received: 22 December 2018 / Revised: 15 May 2019 / Accepted: 30 June 2019
DOI: https://doi.org/10.1051/m2an/2019050

Multilevel weighted least squares polynomial approximation

Abdul-Lateef Haji-Ali, Fabio Nobile, Sören Wolfers and Raúl Tempone
ESAIM: M2AN, Forthcoming article
Received: 04 October 2017 / Revised: 28 January 2019 / Accepted: 21 June 2019
DOI: https://doi.org/10.1051/m2an/2019045

stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D

Michael Karkulik, Jens Markus Melenk and Alexander Rieder
ESAIM: M2AN, Forthcoming article
Received: 27 November 2018 / Revised: 30 April 2019 / Accepted: 11 June 2019
DOI: https://doi.org/10.1051/m2an/2019041