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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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Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides

Seungil Kim
ESAIM: M2AN, Forthcoming article
Received: 25 June 2018 / Revised: 08 February 2019 / Accepted: 27 March 2019
DOI: https://doi.org/10.1051/m2an/2019026

Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications

Nicolas Van Goethem and Maro Caroccia
ESAIM: M2AN, Forthcoming article
Received: 25 July 2018 / Revised: 07 March 2019 / Accepted: 16 March 2019
DOI: https://doi.org/10.1051/m2an/2019024

Raviart-Thomas finite elements of Petrov-Galerkin type

François Dubois, Isabelle Greff and Charles Pierre
ESAIM: M2AN, Forthcoming article
Received: 19 October 2017 / Revised: 08 February 2019 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019020

Variational method for a backward problem for a time-fractional diffusion equation

Ting Wei and Jun Xian
ESAIM: M2AN, Forthcoming article
Received: 18 May 2017 / Revised: 06 January 2019 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019019

Analysis of the error in an iterative algorithm for asymptotic regulation of linear distributed parameter control systems

David Sexton Gilliam, Eugenio Aulisa and Thanuka Pathiranage
ESAIM: M2AN, Forthcoming article
Received: 11 December 2017 / Revised: 08 February 2019 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019021

A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations

Assyr Abdulle and Giacomo Rosilho de Souza
ESAIM: M2AN, Forthcoming article
Received: 27 July 2018 / Revised: 17 December 2018 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019022

Finite element method with local damage of the mesh

Michel Duprez, Vanessa Lleras and Alexei Lozinski
ESAIM: M2AN, Forthcoming article
Received: 13 August 2018 / Revised: 04 February 2019 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019023

On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions

Jack Arbunich, Christian Klein and Christof Sparber
ESAIM: M2AN, Forthcoming article
Received: 02 June 2018 / Revised: 20 December 2018 / Accepted: 08 March 2019
DOI: https://doi.org/10.1051/m2an/2019018

Superconvergence points of integer and fractional derivatives of special Hermite interpolations and its applications in solving FDEs

Beichuan Deng, Jiwei Zhang and Zhimin Zhang
ESAIM: M2AN, Forthcoming article
Received: 18 July 2018 / Revised: 03 February 2019 / Accepted: 21 February 2019
DOI: https://doi.org/10.1051/m2an/2019012

Analysis of the 3D non-linear Stokes problem coupled to transport-diffusion for shear-thinning heterogeneous microscale flows, applications to digital rock physics and mucociliary clearance

David Sanchez, Laurène Hume, Robin Chatelin and Philippe Poncet
ESAIM: M2AN, Forthcoming article
Received: 19 July 2018 / Revised: 26 January 2019 / Accepted: 21 February 2019
DOI: https://doi.org/10.1051/m2an/2019013

Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems

Laurence Beaude, Roland Masson, Simon Lopez and Pierre Samier
ESAIM: M2AN, Forthcoming article
Received: 26 June 2018 / Revised: 15 January 2019 / Accepted: 18 February 2019
DOI: https://doi.org/10.1051/m2an/2019014

A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square

Claudio Canuto, Ricardo H. Nochetto, Rob P. Stevenson and Marco Verani
ESAIM: M2AN, Forthcoming article
Received: 20 December 2017 / Revised: 14 December 2018 / Accepted: 18 February 2019
DOI: https://doi.org/10.1051/m2an/2019015

Entropy stable essentially nonoscillatory methods based on RBF reconstruction

Fabian Mönkeberg and Jan S Hesthaven
ESAIM: M2AN, Forthcoming article
Received: 13 August 2018 / Revised: 11 January 2019 / Accepted: 11 February 2019
DOI: https://doi.org/10.1051/m2an/2019011

Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization

Florian Faucher, Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro and Eva Sincich
ESAIM: M2AN, Forthcoming article
Received: 11 May 2018 / Revised: 20 November 2018 / Accepted: 30 January 2019
DOI: https://doi.org/10.1051/m2an/2019009

Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model

Luís Almeida, Patrizia Bagnerini, Giulia Fabrini, Barry D. Hughes and Tommaso Lorenzi
ESAIM: M2AN, Forthcoming article
Received: 03 August 2018 / Revised: 24 January 2019 / Accepted: 30 January 2019
DOI: https://doi.org/10.1051/m2an/2019010

Penalty method with Crouzeix--Raviart approximation for the Stokes equations under slip boundary condition

Takahito Kashiwabara, Issei Oikawa and Guanyu Zhou
ESAIM: M2AN, Forthcoming article
Received: 25 September 2018 / Accepted: 26 January 2019
DOI: https://doi.org/10.1051/m2an/2019008

Algebraic flux correction schemes preserving the eigenvalue range of symmetric tensor fields

Christoph Lohmann
ESAIM: M2AN, Forthcoming article
Received: 11 April 2018 / Revised: 21 November 2018 / Accepted: 26 January 2019
DOI: https://doi.org/10.1051/m2an/2019006

Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension

Hamed Zakerzadeh
ESAIM: M2AN, Forthcoming article
Received: 16 March 2017 / Revised: 17 December 2018 / Accepted: 26 January 2019
DOI: https://doi.org/10.1051/m2an/2019005

Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications

Hongyu Liu, Hongjie Li, Shanqiang Li and Xianchao Wang
ESAIM: M2AN, Forthcoming article
Received: 28 October 2018 / Revised: 17 December 2018 / Accepted: 24 January 2019
DOI: https://doi.org/10.1051/m2an/2019004

A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes

Gerardo Hernandez-Duenas, Ulises Velasco-García and Jorge X Velasco-Hernández
ESAIM: M2AN, Forthcoming article
Received: 08 June 2018 / Revised: 17 December 2018 / Accepted: 11 January 2019
DOI: https://doi.org/10.1051/m2an/2019003

Relaxation and simulation of a barotropic three-phase flow model

Jean-Marc Hérard and Hamza Boukili
ESAIM: M2AN, Forthcoming article
Received: 20 March 2018 / Revised: 05 December 2018 / Accepted: 28 December 2018
DOI: https://doi.org/10.1051/m2an/2019001

Path-Conservative Central-Upwind Schemes for Nonconservative Hyperbolic Systems

Manuel Jesus Castro Diaz, Alexander Kurganov and Tomas Morales de Luna
ESAIM: M2AN, Forthcoming article
Received: 10 April 2018 / Revised: 06 December 2018 / Accepted: 20 December 2018
DOI: https://doi.org/10.1051/m2an/2018077

Phase-field modelling and computing for a large number of phases

Élie Bretin, Roland Denis, Jacques-Olivier Lachaud and Édouard Oudet
ESAIM: M2AN, Forthcoming article
Received: 14 May 2018 / Revised: 19 November 2018 / Accepted: 13 December 2018
DOI: https://doi.org/10.1051/m2an/2018075

The nonconforming virtual element method for eigenvalue problems

Francesca Gardini, Gianmarco Manzini and Giuseppe Vacca
ESAIM: M2AN, Forthcoming article
Received: 08 February 2018 / Revised: 31 October 2018 / Accepted: 29 November 2018
DOI: https://doi.org/10.1051/m2an/2018074

Low-rank approximation of linear parabolic equations by space-time tensor Galerkin methods

Thomas Boiveau, Virginie Ehrlacher, Alexandre Ern and Anthony Nouy
ESAIM: M2AN, Forthcoming article
Received: 19 December 2017 / Revised: 10 October 2018 / Accepted: 29 November 2018
DOI: https://doi.org/10.1051/m2an/2018073

Stability analysis and best approximation error estimates of discontinuous time-stepping schemes for the Allen-Cahn equation

Konstantinos Chrysafinos
ESAIM: M2AN, Forthcoming article
Received: 08 May 2018 / Revised: 29 October 2018 / Accepted: 14 November 2018
DOI: https://doi.org/10.1051/m2an/2018071

study of an asymptotic preserving scheme for the quasi-neutral Euler-Boltzmann system in the drift regime

mehdi BADSI
ESAIM: M2AN, Forthcoming article
Received: 04 December 2017 / Revised: 26 July 2018 / Accepted: 08 November 2018
DOI: https://doi.org/10.1051/m2an/2018070

An Eulerian finite element method for PDEs in time-dependent domains

Christoph Lehrenfeld and Maxim A. Olshanskii
ESAIM: M2AN, Forthcoming article
Received: 20 March 2018 / Revised: 02 August 2018 / Accepted: 28 October 2018
DOI: https://doi.org/10.1051/m2an/2018068

Anisotropic polygonal and polyhedral discretizations in finite element analysis

Steffen Weißer
ESAIM: M2AN, Forthcoming article
Received: 14 November 2017 / Revised: 09 May 2018 / Accepted: 28 October 2018
DOI: https://doi.org/10.1051/m2an/2018066

Uniformly accurate time-splitting methods for the semiclassical linear Schroedinger equation

Philippe Chartier, Loïc Le Treust and Florian Méhats
ESAIM: M2AN, Forthcoming article
Received: 02 October 2017 / Revised: 19 September 2018 / Accepted: 03 October 2018
DOI: https://doi.org/10.1051/m2an/2018060

A posteriori analysis for space-time, discontinuous in time Galerkin approximations for parabolic equations in a variable domain.

Dimitra Antonopoulou and Michalis Plexousakis
ESAIM: M2AN, Forthcoming article
Received: 28 December 2016 / Revised: 07 May 2018 / Accepted: 25 September 2018
DOI: https://doi.org/10.1051/m2an/2018059

Convergence of discrete and continuous unilateral flows for Ambrosio-Tortorelli energies and application to mechanics

Matteo Negri, Stefano Almi and Sandro Belz
ESAIM: M2AN, Forthcoming article
Received: 22 November 2017 / Revised: 15 May 2018 / Accepted: 25 September 2018
DOI: https://doi.org/10.1051/m2an/2018057

Modeling and optimizing a road de-icing device by a nonlinear heating

Arnaud Munch and Frederic Bernardin
ESAIM: M2AN, Forthcoming article
Received: 19 March 2018 / Revised: 19 July 2018 / Accepted: 25 September 2018
DOI: https://doi.org/10.1051/m2an/2018056

Numerical complete solution for random genetic drift by energetic variational approach

Chenghua Duan, Chun Liu, Cheng Wang and Xingye Yue
ESAIM: M2AN, Forthcoming article
Received: 20 August 2017 / Revised: 23 August 2018 / Accepted: 25 September 2018
DOI: https://doi.org/10.1051/m2an/2018058

Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II

Philip Lukas Lederer, Christoph Lehrenfeld and Joachim Schöberl
ESAIM: M2AN, Forthcoming article
Received: 17 May 2018 / Revised: 04 September 2018 / Accepted: 18 September 2018
DOI: https://doi.org/10.1051/m2an/2018054

A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model

Charles Demay, Christian Bourdarias, Benoît de Laage de Meux, Stéphane Gerbi and Jean-Marc Hérard
ESAIM: M2AN, Forthcoming article
Received: 05 January 2018 / Revised: 07 August 2018 / Accepted: 27 August 2018
DOI: https://doi.org/10.1051/m2an/2018051

An easily computable error estimator in space and time for the wave equation

Olga Gorynina, Alexei Lozinski and Marco Picasso
ESAIM: M2AN, Forthcoming article
Received: 25 October 2017 / Revised: 18 May 2018 / Accepted: 25 August 2018
DOI: https://doi.org/10.1051/m2an/2018049

convergence of a homotopy finite element method for computing steady states of Burgers' equation

Yong Yang and Wenrui Hao
ESAIM: M2AN, Forthcoming article
Received: 07 July 2017 / Revised: 20 June 2018 / Accepted: 17 July 2018
DOI: https://doi.org/10.1051/m2an/2018046