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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Cross-diffusion systems with non-zero flux and moving boundary conditions.

ESAIM: M2AN, Forthcoming article
Received: 12 January 2017 / Revised: 30 August 2017 / Accepted: 05 October 2017
DOI: https://doi.org/10.1051/m2an/2017053

Large time step HLL and HLLC schemes

ESAIM: M2AN, Forthcoming article
Received: 25 March 2017 / Revised: 11 September 2017 / Accepted: 28 September 2017
DOI: https://doi.org/10.1051/m2an/2017051

On assessing the accuracy of defect free energy computations

ESAIM: M2AN, Forthcoming article
Received: 03 April 2016 / Revised: 12 September 2017 / Accepted: 28 September 2017
DOI: https://doi.org/10.1051/m2an/2017052

Convergence analysis of Padé approximations for Helmholtz frequency response problems

ESAIM: M2AN, Forthcoming article
Received: 15 July 2016 / Revised: 29 August 2017 / Accepted: 28 September 2017
DOI: https://doi.org/10.1051/m2an/2017050

A second order in time incremental pressure correction finite method method for the Navier-Stokes/Darcy problem

ESAIM: M2AN, Forthcoming article
Received: 25 April 2016 / Revised: 09 July 2017 / Accepted: 25 September 2017
DOI: https://doi.org/10.1051/m2an/2017049

Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves

ESAIM: M2AN, Forthcoming article
Received: 30 August 2016 / Revised: 12 April 2017 / Accepted: 25 September 2017
DOI: https://doi.org/10.1051/m2an/2017048

Scalar problems in junctions of rods and a plate. II. Self-adjoint extensions and simulation models.

ESAIM: M2AN, Forthcoming article
Received: 19 November 2016 / Revised: 04 April 2017 / Accepted: 11 September 2017
DOI: https://doi.org/10.1051/m2an/2017047

Analysis and optimization of weighted ensemble sampling

ESAIM: M2AN, Forthcoming article
Received: 14 October 2016 / Revised: 31 July 2017 / Accepted: 11 September 2017
DOI: https://doi.org/10.1051/m2an/2017046

Evolution of a semidiscrete system modeling the scattering of acoustic waves by a piezoelectric solid

ESAIM: M2AN, Forthcoming article
Received: 14 December 2016 / Revised: 03 July 2017 / Accepted: 27 August 2017
DOI: https://doi.org/10.1051/m2an/2017045

Spectral methods for the Langevin dynamics and associated error estimates

ESAIM: M2AN, Forthcoming article
Received: 16 February 2017 / Revised: 26 July 2017 / Accepted: 23 August 2017
DOI: https://doi.org/10.1051/m2an/2017044

Finite element approximation of an incompressible chemically reacting non-Newtonian fluid

ESAIM: M2AN, Forthcoming article
Received: 22 March 2017 / Revised: 01 August 2017 / Accepted: 23 August 2017
DOI: https://doi.org/10.1051/m2an/2017043

High-order filtered schemes for time-dependent second order HJB equations

ESAIM: M2AN, Forthcoming article
Received: 15 November 2016 / Revised: 27 May 2017 / Accepted: 21 August 2017
DOI: https://doi.org/10.1051/m2an/2017039

Inhomogeneous steady-state problem of complex heat transfer

ESAIM: M2AN, Forthcoming article
Received: 31 March 2016 / Revised: 23 March 2017 / Accepted: 21 August 2017
DOI: https://doi.org/10.1051/m2an/2017042

A virtual element method for the vibration problem of Kirchhoff plates

ESAIM: M2AN, Forthcoming article
Received: 13 January 2017 / Revised: 28 April 2017 / Accepted: 21 August 2017
DOI: https://doi.org/10.1051/m2an/2017041

Virtual element method for the Laplace-Beltrami equation on surfaces

ESAIM: M2AN, Forthcoming article
Received: 02 December 2016 / Revised: 31 May 2017 / Accepted: 21 August 2017
DOI: https://doi.org/10.1051/m2an/2017040

A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation

ESAIM: M2AN, Forthcoming article
Received: 18 October 2016 / Revised: 14 August 2017 / Accepted: 17 August 2017
DOI: https://doi.org/10.1051/m2an/2017038

Finite Element Approximation for the Dynamics of Fluidic Two-Phase Biomembranes

ESAIM: M2AN, Forthcoming article
Received: 16 November 2016 / Revised: 17 May 2017 / Accepted: 14 August 2017
DOI: https://doi.org/10.1051/m2an/2017037

Unified formulation and analysis of mixed and primal discontinuous skeletal methods on polytopal meshes

ESAIM: M2AN, Forthcoming article
Received: 13 September 2016 / Revised: 19 June 2017 / Accepted: 19 July 2017
DOI: https://doi.org/10.1051/m2an/2017036

Analysis of an ungauged T,Φ-Φ formulation of the eddy current problem with currents and voltage excitations

ESAIM: M2AN, Forthcoming article
Received: 17 October 2016 / Revised: 01 April 2017 / Accepted: 29 June 2017
DOI: https://doi.org/10.1051/m2an/2017034

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

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

ESAIM: M2AN, Forthcoming article
Received: 22 March 2016 / Revised: 01 February 2017 / Accepted: 19 June 2017
DOI: https://doi.org/10.1051/m2an/2017032

FEM for quasilinear obstacle problems in bad domains

ESAIM: M2AN, Forthcoming article
Received: 15 December 2016 / Revised: 05 May 2017 / Accepted: 19 June 2017
DOI: https://doi.org/10.1051/m2an/2017033

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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 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

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 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