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ESAIM: Mathematical Modelling and Numerical Analysis

Accepted manuscripts


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

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

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 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 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

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

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

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

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

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

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

Virtual element method for the Laplace-Beltrami equation on surfaces

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

A virtual element method for the vibration problem of Kirchhoff plates

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

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

Received: 22 March 2017 / Revised: 01 August 2017 / Accepted: 23 August 2017
DOI: https://doi.org/10.1051/m2an/2017043

Spectral methods for the Langevin dynamics and associated error estimates

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

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

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

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

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

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

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

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

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

Convergence analysis of Padé approximations for Helmholtz frequency response problems

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

On assessing the accuracy of defect free energy computations

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

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

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

Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations

Received: 29 July 2014 / Revised: 13 December 2016 / Accepted: 08 November 2017
DOI: https://doi.org/10.1051/m2an/2017055

Entropy-stable space-time DG schemes for non-conservative hyperbolic systems

Received: 13 June 2017 / Revised: 28 September 2017 / Accepted: 09 November 2017
DOI: https://doi.org/10.1051/m2an/2017056

Cauchy-Born strain energy density for coupled incommensurate elastic chains

Received: 15 March 2016 / Revised: 02 April 2017 / Accepted: 09 November 2017
DOI: https://doi.org/10.1051/m2an/2017057

uniform in time error analysis of HDG approximation for Schrödinger equation based on HDG projection

Received: 25 March 2016 / Revised: 14 August 2017 / Accepted: 13 November 2017
DOI: https://doi.org/10.1051/m2an/2017058

Atmospheric radiation boundary conditions for the Helmholtz equation

Received: 14 February 2017 / Revised: 02 August 2017 / Accepted: 24 November 2017
DOI: https://doi.org/10.1051/m2an/2017059

Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions

Received: 31 May 2017 / Revised: 14 November 2017 / Accepted: 24 November 2017
DOI: https://doi.org/10.1051/m2an/2017060

DETERMINING THE DISTRIBUTION OF ION CHANNELS FROM EXPERIMENTAL DATA USING THE MELLIN TRANSFORM

Received: 25 October 2016 / Revised: 31 August 2017 / Accepted: 30 November 2017
DOI: https://doi.org/10.1051/m2an/2017062

Value function and optimal trajectories for a maximum running cost control problem with state constraints. Application to an abort landing problem.

Received: 06 March 2017 / Revised: 18 October 2017 / Accepted: 26 December 2017
DOI: https://doi.org/10.1051/m2an/2017064

A Hybrid High-Order method for Kirchhoff--Love plate bending problems

Received: 22 June 2017 / Revised: 12 December 2017 / Accepted: 26 December 2017
DOI: https://doi.org/10.1051/m2an/2017065

Convergence of a finite volume scheme for a parabolic system with a free boundary modeling concrete carbonation

Received: 16 March 2017 / Revised: 20 December 2017 / Accepted: 12 January 2018
DOI: https://doi.org/10.1051/m2an/2018002

Goal-oriented error estimation for parameter-dependent nonlinear problems

Received: 12 July 2017 / Revised: 11 December 2017 / Accepted: 12 January 2018
DOI: https://doi.org/10.1051/m2an/2018003

A multigrid algorithm for the p version of the virtual element method

Received: 10 June 2017 / Revised: 05 December 2017 / Accepted: 11 January 2018
DOI: https://doi.org/10.1051/m2an/2018007

A-posteriori snapshot location for POD in optimal control of linear parabolic equations

Received: 29 August 2016 / Revised: 27 September 2017 / Accepted: 15 January 2018
DOI: https://doi.org/10.1051/m2an/2018009

An a posteriori error analysis for an optimal control problem with point sources

Received: 04 April 2017 / Revised: 17 November 2017 / Accepted: 22 January 2018
DOI: https://doi.org/10.1051/m2an/2018010

numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients

Received: 07 July 2017 / Revised: 22 January 2018 / Accepted: 25 January 2018
DOI: https://doi.org/10.1051/m2an/2018011

Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods

Received: 09 June 2017 / Revised: 08 February 2018 / Accepted: 13 February 2018
DOI: https://doi.org/10.1051/m2an/2018014

A uniformly accurate (UA) multiscale time integrator pseudospectral method for the nonlinear Dirac equation in the nonrelativistic limit regime

Received: 03 July 2017 / Revised: 06 February 2018 / Accepted: 22 February 2018
DOI: https://doi.org/10.1051/m2an/2018015

Quadratic Convergence of Levenberg-Marquardt Method for Elliptic and Parabolic Inverse Robin Problems

Received: 30 September 2016 / Revised: 22 December 2017 / Accepted: 09 February 2018
DOI: https://doi.org/10.1051/m2an/2018016

Generalized wave propagation problems and discrete exterior calculus

Received: 04 April 2017 / Revised: 13 October 2017 / Accepted: 09 February 2018
DOI: https://doi.org/10.1051/m2an/2018017

Multiple Traces Formulation and Semi-Implicit Scheme for Modelling Biological Cells under Electrical Stimulation

Received: 10 May 2017 / Revised: 26 December 2017 / Accepted: 09 March 2018
DOI: https://doi.org/10.1051/m2an/2018019

Error estimates of the third order Runge-Kutta alternating evolution discontinuous Galerkin method for convection-diffusion problems

Received: 13 September 2017 / Revised: 23 January 2018 / Accepted: 12 March 2018
DOI: https://doi.org/10.1051/m2an/2018020

Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media

Received: 23 October 2017 / Revised: 08 March 2018 / Accepted: 27 March 2018
DOI: https://doi.org/10.1051/m2an/2018022

Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations

Received: 21 February 2017 / Revised: 09 February 2018 / Accepted: 03 April 2018
DOI: https://doi.org/10.1051/m2an/2018023

Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime

Received: 22 July 2017 / Revised: 12 February 2018 / Accepted: 16 April 2018
DOI: https://doi.org/10.1051/m2an/2018024

A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities

Received: 13 February 2017 / Revised: 11 January 2018 / Accepted: 16 April 2018
DOI: https://doi.org/10.1051/m2an/2018025

Outgoing wave conditions in photonic crystals and transmission properties at interfaces

Received: 19 December 2016 / Revised: 25 January 2018 / Accepted: 16 April 2018
DOI: https://doi.org/10.1051/m2an/2018026

Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations

Received: 21 September 2017 / Revised: 27 March 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018027

Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation

Received: 26 January 2018 / Revised: 27 April 2018 / Accepted: 01 May 2018
DOI: https://doi.org/10.1051/m2an/2018028

Fully discrete finite element data assimilation method for the heat equation

Received: 15 August 2017 / Revised: 07 February 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018030

High frequency behaviour of corner singularities in Helmholtz problems

Received: 23 February 2017 / Revised: 27 January 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018031

Congested shallow water model: Roof modeling in free surface flow

Received: 12 July 2017 / Revised: 27 February 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018032

Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data

Received: 01 November 2017 / Revised: 26 February 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018029

A $C^0$-Nonconforming Quadrilateral Finite Element for the Fourth Order Elliptic Singular Perturbation Problem

Received: 09 October 2017 / Revised: 06 May 2018 / Accepted: 15 May 2018
DOI: https://doi.org/10.1051/m2an/2018033