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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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Stabilised finite element methods for the Oseen problem on anisotropic quadrilateral meshes

Gabriel Barrenechea and Andreas Wachtel
ESAIM: M2AN, Forthcoming article
Received: 12 August 2016 / Revised: 04 May 2017 / Accepted: 19 June 2017
DOI: https://doi.org/10.1051/m2an/2017031

On the homogenization of the Helmholtz problem with thin perforated walls of finite length

Adrien Semin, Bérangère Delourme and Kersten Schmidt
ESAIM: M2AN, Forthcoming article
Received: 17 August 2016 / Revised: 27 March 2017 / Accepted: 14 June 2017
DOI: https://doi.org/10.1051/m2an/2017030

A semi-discrete large-time behavior preserving scheme for the augmented Burgers equation

Liviu I. Ignat and Alejandro Pozo
ESAIM: M2AN, Forthcoming article
Received: 10 September 2014 / Revised: 30 March 2017 / Accepted: 01 June 2017
DOI: https://doi.org/10.1051/m2an/2017029

Analysis of a mimetic finite difference approximation of flows in fractured porous media

Anna Scotti, Luca Formaggia and Federica Sottocasa
ESAIM: M2AN, Forthcoming article
Received: 17 November 2016 / Revised: 03 April 2017 / Accepted: 05 May 2017
DOI: https://doi.org/10.1051/m2an/2017028

A finite volume method for undercompressive shock waves in two space dimensions

Christophe Chalons, Christian Rohde and Maria Wiebe
ESAIM: M2AN, Forthcoming article
Received: 20 September 2016 / Revised: 23 March 2017 / Accepted: 27 April 2017
DOI: https://doi.org/10.1051/m2an/2017027

Mathematical modeling of microtubule dynamic instability: new insight into the link between GTP-hydrolysis and microtubule aging

Ayuna Barlukova, Diana White, Gérard Henry, stéphane Honoré and Florence Hubert
ESAIM: M2AN, Forthcoming article
Received: 17 September 2016 / Revised: 25 January 2017 / Accepted: 26 April 2017
DOI: https://doi.org/10.1051/m2an/2017025

Superconvergence of discontinuous Galerkin methods for 1-D linear hyperbolic equations with degenerate variable coefficients

Waixiang Cao, Chi-Wang Shu and Zhimin Zhang
ESAIM: M2AN, Forthcoming article
Received: 25 August 2016 / Revised: 10 February 2017 / Accepted: 26 April 2017
DOI: https://doi.org/10.1051/m2an/2017026

A note on semilinear fractional elliptic equation: analysis and discretization

Harbir Antil, Johannes Pfefferer and Mahamadi Warma
ESAIM: M2AN, Forthcoming article
Received: 20 July 2016 / Revised: 09 March 2017 / Accepted: 20 April 2017
DOI: https://doi.org/10.1051/m2an/2017023

Cellulose biodegradation models; an example of cooperative interactions in structured populations

Alexey Miroshnikov, Pierre-Emmanuel Jabin and Robin Young
ESAIM: M2AN, Forthcoming article
Received: 04 September 2016 / Revised: 14 March 2017 / Accepted: 20 April 2017
DOI: https://doi.org/10.1051/m2an/2017021

Semi-discrete error estimates and implementation of a mixed method for the Stefan problem

Christopher B Davis and Shawn W Walker
ESAIM: M2AN, Forthcoming article
Received: 29 July 2016 / Revised: 19 January 2017 / Accepted: 20 April 2017
DOI: https://doi.org/10.1051/m2an/2017022

Geometric constraints in descent methods for shape optimisation

Daniel Kraft
ESAIM: M2AN, Forthcoming article
Received: 16 November 2015 / Revised: 07 April 2017 / Accepted: 18 April 2017
DOI: https://doi.org/10.1051/m2an/2017020

Stable perfectly matched layers for a class of anisotropic dispersive models. Part I: necessary and sufficient conditions of stability

Éliane Bécache and Maryna Kachanovska
ESAIM: M2AN, Forthcoming article
Received: 18 August 2016 / Revised: 28 February 2017 / Accepted: 10 April 2017
DOI: https://doi.org/10.1051/m2an/2017019

An adaptive finite element PML method for the elastic wave scattering problem in periodic structures

Xue Jiang, Peijun Li, Junliang Lv and Weiying Zheng
ESAIM: M2AN, Forthcoming article
Received: 23 December 2016 / Revised: 22 March 2017 / Accepted: 05 April 2017
DOI: https://doi.org/10.1051/m2an/2017018

Stability analysis and error estimates of local discontinuous Galerkin methods with implicit-explicit time-marching for the time-dependent fourth order PDEs

Haijin Wang, Qiang Zhang and Chi-Wang Shu
ESAIM: M2AN, Forthcoming article
Received: 29 December 2016 / Revised: 09 March 2017 / Accepted: 02 April 2017
DOI: https://doi.org/10.1051/m2an/2017017

Higher order topological derivatives for three-dimensional anisotropic elasticity

Marc Bonnet and Rémi Cornaggia
ESAIM: M2AN, Forthcoming article
Received: 26 May 2016 / Revised: 14 February 2017 / Accepted: 28 March 2017
DOI: https://doi.org/10.1051/m2an/2017015

Convergence of a vector penalty projection scheme for the Navier Stokes equations with moving body

Vincent Bruneau, Adrien Doradoux and Pierre Fabrie
ESAIM: M2AN, Forthcoming article
Received: 24 May 2016 / Revised: 26 February 2017 / Accepted: 28 March 2017
DOI: https://doi.org/10.1051/m2an/2017016

Analysis of patch-test consistent atomistic-to-continuum coupling with higher-order finite elements

Andreas Dedner, Christoph Ortner and Huan Wu
ESAIM: M2AN, Forthcoming article
Received: 24 October 2016 / Revised: 15 March 2017 / Accepted: 16 March 2017
DOI: https://doi.org/10.1051/m2an/2017013

Some a posteriori error bounds for reduced order modelling of (non-)parametrized linear systems

Lihong Feng, Athanasios C. Antoulas and Peter Benner
ESAIM: M2AN, Forthcoming article
Received: 20 January 2016 / Revised: 15 March 2017 / Accepted: 16 March 2017
DOI: https://doi.org/10.1051/m2an/2017014

Numerical analysis of a nonlinearly stable and positive Control Volume Finite Element scheme for Richards equation with anisotropy

Ahmed Ait Hammou Oulhaj, Clément Cancès and Claire Chainais-Hillairet
ESAIM: M2AN, Forthcoming article
Received: 27 September 2016 / Revised: 07 March 2017 / Accepted: 15 March 2017
DOI: https://doi.org/10.1051/m2an/2017012

Analytical treatment for the asymptotic analysis of microscopic impenetrability constraints for atomistic systems

Maria Stella Gelli and Andrea Braides
ESAIM: M2AN, Forthcoming article
Received: 03 October 2016 / Revised: 13 March 2017 / Accepted: 14 March 2017
DOI: https://doi.org/10.1051/m2an/2017011

Convergence of multi-revolution composition time-splitting methods for highly oscillatory differential equations of Schrödinger type

Mechthild Thalhammer, Philippe Chartier, Florian Méhats and Yong Zhang
ESAIM: M2AN, Forthcoming article
Received: 11 April 2016 / Revised: 11 February 2017 / Accepted: 07 March 2017
DOI: https://doi.org/10.1051/m2an/2017010

A posteriori error analysis for the optimal control of magneto-static fields

Dirk Pauly and Irwin Yousept
ESAIM: M2AN, Forthcoming article
Received: 20 August 2016 / Revised: 20 January 2017 / Accepted: 07 March 2017
DOI: https://doi.org/10.1051/m2an/2017008

A penalty method for a linear Koiter shell model

Serge Nicaise and Ismail Merabet
ESAIM: M2AN, Forthcoming article
Received: 22 April 2016 / Revised: 03 October 2016 / Accepted: 07 March 2017
DOI: https://doi.org/10.1051/m2an/2017009

Modelling and numerical approximation for the nonconservative bitemperature Euler model

Stéphane Brull, Jérôme Breil, Denise Aregba-Driollet, Bruno Dubroca and Elise Estibals
ESAIM: M2AN, Forthcoming article
Received: 16 August 2015 / Revised: 15 September 2016 / Accepted: 25 February 2017
DOI: https://doi.org/10.1051/m2an/2017007

An adjoint-based method for the numerical approximation of shape optimization problems in presence of fluid-structure interaction

Andrea Manzoni and Luca Ponti
ESAIM: M2AN, Forthcoming article
Received: 31 May 2016 / Revised: 20 February 2017 / Accepted: 24 February 2017
DOI: https://doi.org/10.1051/m2an/2017006

An adaptive parametrized-background data-weak approach to variational data assimilation

Tommaso Taddei
ESAIM: M2AN, Forthcoming article
Received: 05 March 2016 / Revised: 29 January 2017 / Revised: 13 August 2016 / Accepted: 01 February 2017
DOI: https://doi.org/10.1051/m2an/2017005

A posteriori modeling error estimates in the optimization of two-scale elastic composite materials

Sergio Conti, Benedict Geihe, Martin Lenz and Martin Rumpf
ESAIM: M2AN, Forthcoming article
Received: 13 November 2015 / Revised: 02 October 2016 / Accepted: 23 January 2017
DOI: https://doi.org/10.1051/m2an/2017004

Error analysis of truncated expansion solutions to high-dimensional parabolic PDEs

Christoph Reisinger and Rasmus Wissmann
ESAIM: M2AN, Forthcoming article
Received: 07 May 2016 / Revised: 31 October 2016 / Accepted: 17 January 2017
DOI: https://doi.org/10.1051/m2an/2017003

Convergence analysis of a BDF2/mixed finite element discretization of a Darcy-Nernst-Planck-Poisson system

Florian Frank and Peter Knabner
ESAIM: M2AN, Forthcoming article
Received: 25 January 2016 / Revised: 24 August 2016 / Accepted: 17 January 2017
DOI: https://doi.org/10.1051/m2an/2017002

Spacetime discontinuous Galerkin methods for solving convection-diffusion systems

Sandra M. May
ESAIM: M2AN, Forthcoming article
Received: 28 October 2015 / Revised: 26 June 2016 / Accepted: 09 January 2017
DOI: https://doi.org/10.1051/m2an/2017001

A posteriori error estimates for discontinuous Galerkin methods using non-polynomial basis functions. Part II: Eigenvalue problems

Lin Lin and Benjamin Stamm
ESAIM: M2AN, Forthcoming article
Received: 14 March 2016 / Revised: 13 December 2016 / Revised: 22 September 2016 / Accepted: 15 December 2016
DOI: https://doi.org/10.1051/m2an/2016081

Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner

Xavier Claeys, Lucas Chesnel and Sergei Nazarov
ESAIM: M2AN, Forthcoming article
Received: 07 March 2016 / Revised: 14 October 2016 / Accepted: 09 December 2016
DOI: https://doi.org/10.1051/m2an/2016080

Asymptotic-preserving well-balanced scheme for the electronic M1 model in the diffusive limit: particular cases.

Sébastien Guisset, Stéphane BRULL, Emmanuel d'HUMIÈRES and Bruno DUBROCA
ESAIM: M2AN, Forthcoming article
Received: 22 April 2015 / Revised: 01 September 2016 / Revised: 24 March 2016 / Accepted: 09 December 2016
DOI: https://doi.org/10.1051/m2an/2016079

A numerical solution to Monge's problem with a Finsler distance as cost

Guillaume Carlier, Jean-David Benamou and Roméo Hatchi
ESAIM: M2AN, Forthcoming article
Received: 23 January 2016 / Revised: 02 August 2016 / Revised: 17 June 2016 / Accepted: 05 December 2016
DOI: https://doi.org/10.1051/m2an/2016077

Numerical analysis of the Oseen-type Peterlin viscoelastic model by the stabilized Lagrange-Galerkin method, Part I: A nonlinear scheme

Maria Lukacova, Hana Mizerova, Hirofumi Notsu and Masahisa Tabata
ESAIM: M2AN, Forthcoming article
Received: 22 April 2016 / Revised: 23 October 2016 / Accepted: 05 December 2016
DOI: https://doi.org/10.1051/m2an/2016078

A convergent method for linear half-space kinetic equations

Qin Li, Jianfeng Lu and Weiran Sun
ESAIM: M2AN, Forthcoming article
Received: 13 May 2015 / Revised: 12 July 2016 / Accepted: 29 November 2016
DOI: https://doi.org/10.1051/m2an/2016076

An edge-based scheme on polyhedral meshes for vector advection-reaction equations

Pierre Cantin and Alexandre Ern
ESAIM: M2AN, Forthcoming article
Received: 01 June 2016 / Revised: 21 November 2016 / Accepted: 28 November 2016
DOI: https://doi.org/10.1051/m2an/2016075

A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinuous Galerkin approximation

Ronald Hoppe, Dietrich Braess and Christopher Linsenmann
ESAIM: M2AN, Forthcoming article
Received: 30 August 2016 / Revised: 21 November 2016 / Accepted: 23 November 2016
DOI: https://doi.org/10.1051/m2an/2016074

A second order time-stepping scheme for parabolic interface problems with moving interfaces

Stefan Frei and Thomas Richter
ESAIM: M2AN, Forthcoming article
Received: 23 March 2016 / Revised: 29 June 2016 / Accepted: 12 November 2016
DOI: https://doi.org/10.1051/m2an/2016072

A DDFV method for a Cahn-Hilliard/Stokes phase field model with dynamic boundary conditions

Franck Boyer and Flore Nabet
ESAIM: M2AN, Forthcoming article
Received: 31 December 2015 / Revised: 03 August 2016 / Accepted: 12 November 2016
DOI: https://doi.org/10.1051/m2an/2016073

Analysis and approximations of the evolutionary Stokes equations with inhomogeneous boundary and divergence data using a parabolic saddle point formulation

Konstantinos Chrysafinos and L. Steven Hou
ESAIM: M2AN, Forthcoming article
Received: 23 June 2015 / Revised: 21 October 2016 / Revised: 07 June 2016 / Revised: 23 December 2015 / Accepted: 09 November 2016
DOI: https://doi.org/10.1051/m2an/2016070

A novel nonlocal potential solver based on nonuniform FFT for efficient simulation of the Davey-Stewartson equations

Yong ZHANG, Hans Peter Stimming and Norbert J Mauser
ESAIM: M2AN, Forthcoming article
Received: 03 October 2014 / Revised: 16 March 2016 / Accepted: 09 November 2016
DOI: https://doi.org/10.1051/m2an/2016071

Dimensional model reduction for flow through fractures in poroelastic media

Martina Bukac, Ivan Yotov and Paolo Zunino
ESAIM: M2AN, Forthcoming article
Received: 21 October 2015 / Revised: 01 October 2016 / Revised: 14 June 2016 / Accepted: 07 November 2016
DOI: https://doi.org/10.1051/m2an/2016069

Numerical analysis of a stabilized finite element approximation for the three-field linearized viscoelastic fluid problem using arbitrary interpolations

Ramon Codina and Ernesto Castillo
ESAIM: M2AN, Forthcoming article
Received: 25 February 2016 / Revised: 07 November 2016 / Accepted: 07 November 2016
DOI: https://doi.org/10.1051/m2an/2016068

Finite element quasi-interpolation and best approximation

Jean-Luc Guermond and Alexandre Ern
ESAIM: M2AN, Forthcoming article
Received: 24 February 2016 / Revised: 12 September 2016 / Accepted: 12 October 2016
DOI: https://doi.org/10.1051/m2an/2016066

Numerical simulation of wave propagation in inhomogeneous media using Generalized Plane Waves

Lise-Marie Imbert-Gérard and Peter Monk
ESAIM: M2AN, Forthcoming article
Received: 25 November 2015 / Revised: 03 June 2016 / Accepted: 12 October 2016
DOI: https://doi.org/10.1051/m2an/2016067

A piecewise linear FEM for an optimal control problem of fractional operators: error analysis on curved domains

Enrique Otarola
ESAIM: M2AN, Forthcoming article
Received: 11 August 2015 / Revised: 06 October 2016 / Revised: 01 August 2016 / Revised: 06 July 2016 / Accepted: 10 October 2016
DOI: https://doi.org/10.1051/m2an/2016065

On the Mach-uniformity of the Lagrange--projection scheme

Hamed Zakerzadeh
ESAIM: M2AN, Forthcoming article
Received: 01 April 2016 / Revised: 22 August 2016 / Accepted: 12 September 2016
DOI: https://doi.org/10.1051/m2an/2016064

Convergence of a Strang splitting finite element discretization for the Schrödinger-Poisson equation

Othmar Koch, Winfried Auzinger, Thomas Kassebacher and Mechthild Thalhammer
ESAIM: M2AN, Forthcoming article
Received: 18 December 2015 / Revised: 26 May 2016 / Accepted: 08 September 2016
DOI: https://doi.org/10.1051/m2an/2016059

On the Steklov problem in a domain perforated along a part of the boundary

Gregory A. Chechkin, Rustem R. Gadyl'shin, Ciro d'Apice and Umberto de Maio
ESAIM: M2AN, Forthcoming article
Received: 19 August 2014 / Revised: 13 July 2016 / Revised: 25 October 2015 / Accepted: 08 September 2016
DOI: https://doi.org/10.1051/m2an/2016063

A hybrid two-step finite element method for flux approximation: a priori estimates

JaEun Ku, Young Ju Lee and Dongwoo Sheen
ESAIM: M2AN, Forthcoming article
Received: 07 December 2014 / Revised: 15 May 2016 / Revised: 21 July 2015 / Revised: 28 May 2015 / Accepted: 08 September 2016
DOI: https://doi.org/10.1051/m2an/2016062

New transmission condition accounting for diffusion anisotropy in thin layers applied to diffusion MRI

Fabien Caubet, Houssem Haddar, Jing-Rebecca Li and Dang Van Nguyen
ESAIM: M2AN, Forthcoming article
Received: 30 March 2015 / Revised: 29 June 2016 / Revised: 28 January 2016 / Accepted: 08 September 2016
DOI: https://doi.org/10.1051/m2an/2016060