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ESAIM: Mathematical Modelling and Numerical Analysis

Accepted manuscripts


Blended numerical schemes for the advection equation and conservation laws

Received: 25 July 2015 / Revised: 18 May 2016 / Accepted: 23 June 2016
DOI: https://doi.org/10.1051/m2an/2016047

Numerical approximation of a non-smooth phase-field model for multicomponent incompressible flow

Received: 22 February 2016 / Revised: 08 June 2016 / Accepted: 24 June 2016
DOI: https://doi.org/10.1051/m2an/2016048

Stability analysis and error estimates of Lax-Wendroff discontinuous Galerkin methods for linear conservation laws

Received: 30 March 2016 / Revised: 21 June 2016 / Accepted: 05 July 2016
DOI: https://doi.org/10.1051/m2an/2016049

Domain decomposition preconditioners for the discontinuous Petrov-Galerkin method

Received: 15 December 2015 / Revised: 16 June 2016 / Revised: 07 April 2016 / Accepted: 05 July 2016
DOI: https://doi.org/10.1051/m2an/2016050

Existence and uniqueness of a solution for a field/circuit coupled problem

Received: 16 December 2015 / Revised: 28 June 2016 / Revised: 02 May 2016 / Accepted: 26 July 2016
DOI: https://doi.org/10.1051/m2an/2016052

Numerical approximation of viscoelastic fluids

Received: 09 September 2015 / Revised: 27 July 2016 / Revised: 06 July 2016 / Revised: 24 March 2016 / Accepted: 28 July 2016
DOI: https://doi.org/10.1051/m2an/2016053

Preconditioners for the Discontinuous Galerkin Time-Stepping Method of Arbitrary Order

Received: 22 September 2015 / Revised: 17 June 2016 / Revised: 22 February 2016 / Accepted: 24 August 2016
DOI: https://doi.org/10.1051/m2an/2016055

Isogeometric analysis and proper orthogonal decomposition for the acoustic wave equation

Received: 26 January 2016 / Revised: 19 June 2016 / Accepted: 26 August 2016
DOI: https://doi.org/10.1051/m2an/2016056

A finite volume method for nonlocal competition-mutation equations with a gradient flow structure

Received: 08 March 2016 / Revised: 25 July 2016 / Revised: 01 July 2016 / Accepted: 01 September 2016
DOI: https://doi.org/10.1051/m2an/2016058

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

Received: 18 December 2015 / Revised: 26 May 2016 / Accepted: 08 September 2016
DOI: https://doi.org/10.1051/m2an/2016059

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

Received: 30 March 2015 / Revised: 29 June 2016 / Revised: 28 January 2016 / Accepted: 08 September 2016
DOI: https://doi.org/10.1051/m2an/2016060

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

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

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

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

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

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

Received: 25 November 2015 / Revised: 03 June 2016 / Accepted: 12 October 2016
DOI: https://doi.org/10.1051/m2an/2016067

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

Received: 25 February 2016 / Revised: 07 November 2016 / Accepted: 07 November 2016
DOI: https://doi.org/10.1051/m2an/2016068

Dimensional model reduction for flow through fractures in poroelastic media

Received: 21 October 2015 / Revised: 01 October 2016 / Revised: 14 June 2016 / Accepted: 07 November 2016
DOI: https://doi.org/10.1051/m2an/2016069

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

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

Received: 03 October 2014 / Revised: 16 March 2016 / Accepted: 09 November 2016
DOI: https://doi.org/10.1051/m2an/2016071

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

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

Received: 31 December 2015 / Revised: 03 August 2016 / Accepted: 12 November 2016
DOI: https://doi.org/10.1051/m2an/2016073

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

Received: 30 August 2016 / Revised: 21 November 2016 / Accepted: 23 November 2016
DOI: https://doi.org/10.1051/m2an/2016074

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

Received: 01 June 2016 / Revised: 21 November 2016 / Accepted: 28 November 2016
DOI: https://doi.org/10.1051/m2an/2016075

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

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

Received: 22 April 2016 / Revised: 23 October 2016 / Accepted: 05 December 2016
DOI: https://doi.org/10.1051/m2an/2016078

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

Received: 22 April 2015 / Revised: 01 September 2016 / Revised: 24 March 2016 / Accepted: 09 December 2016
DOI: https://doi.org/10.1051/m2an/2016079

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

Received: 07 March 2016 / Revised: 14 October 2016 / Accepted: 09 December 2016
DOI: https://doi.org/10.1051/m2an/2016080

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

Received: 14 March 2016 / Revised: 13 December 2016 / Revised: 22 September 2016 / Accepted: 15 December 2016
DOI: https://doi.org/10.1051/m2an/2016081

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

Received: 25 January 2016 / Revised: 24 August 2016 / Accepted: 17 January 2017
DOI: https://doi.org/10.1051/m2an/2017002

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

Received: 07 May 2016 / Revised: 31 October 2016 / Accepted: 17 January 2017
DOI: https://doi.org/10.1051/m2an/2017003

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

Received: 13 November 2015 / Revised: 02 October 2016 / Accepted: 23 January 2017
DOI: https://doi.org/10.1051/m2an/2017004

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

Received: 05 March 2016 / Revised: 29 January 2017 / Revised: 13 August 2016 / Accepted: 01 February 2017
DOI: https://doi.org/10.1051/m2an/2017005

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

Received: 31 May 2016 / Revised: 20 February 2017 / Accepted: 24 February 2017
DOI: https://doi.org/10.1051/m2an/2017006

Modelling and numerical approximation for the nonconservative bitemperature Euler model

Received: 16 August 2015 / Revised: 15 September 2016 / Accepted: 25 February 2017
DOI: https://doi.org/10.1051/m2an/2017007

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

Received: 11 April 2016 / Revised: 11 February 2017 / Accepted: 07 March 2017
DOI: https://doi.org/10.1051/m2an/2017010

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

Received: 03 October 2016 / Revised: 13 March 2017 / Accepted: 14 March 2017
DOI: https://doi.org/10.1051/m2an/2017011

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

Received: 27 September 2016 / Revised: 07 March 2017 / Accepted: 15 March 2017
DOI: https://doi.org/10.1051/m2an/2017012

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

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

Received: 20 January 2016 / Revised: 15 March 2017 / Accepted: 16 March 2017
DOI: https://doi.org/10.1051/m2an/2017014

Higher order topological derivatives for three-dimensional anisotropic elasticity

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

Received: 24 May 2016 / Revised: 26 February 2017 / Accepted: 28 March 2017
DOI: https://doi.org/10.1051/m2an/2017016

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

Received: 29 December 2016 / Revised: 09 March 2017 / Accepted: 02 April 2017
DOI: https://doi.org/10.1051/m2an/2017017

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

Received: 23 December 2016 / Revised: 22 March 2017 / Accepted: 05 April 2017
DOI: https://doi.org/10.1051/m2an/2017018

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

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

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

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

Received: 29 July 2016 / Revised: 19 January 2017 / Accepted: 20 April 2017
DOI: https://doi.org/10.1051/m2an/2017022

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

Received: 20 September 2016 / Revised: 23 March 2017 / Accepted: 27 April 2017
DOI: https://doi.org/10.1051/m2an/2017027

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

Received: 04 September 2016 / Revised: 14 March 2017 / Accepted: 20 April 2017
DOI: https://doi.org/10.1051/m2an/2017021

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

Received: 17 November 2016 / Revised: 03 April 2017 / Accepted: 05 May 2017
DOI: https://doi.org/10.1051/m2an/2017028