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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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