ESAIM: Mathematical Modelling and Numerical Analysis

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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

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

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

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

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

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

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

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

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

Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients

Received: 09 October 2017 / Revised: 30 March 2018 / Accepted: 09 May 2018
DOI: https://doi.org/10.1051/m2an/2018034

Optimally convergent hybridizable discontinuous Galerkin method for fifth-order Korteweg-de Vries type equations

Received: 06 November 2017 / Revised: 06 April 2018 / Accepted: 25 May 2018
DOI: https://doi.org/10.1051/m2an/2018037

Cut Finite Element Methods for Partial Differential Equations on Embedded Manifolds of Arbitrary Codimensions

Received: 20 September 2017 / Revised: 24 April 2018 / Accepted: 25 May 2018
DOI: https://doi.org/10.1051/m2an/2018038

Optimized Schwarz Methods for the coupling of cylindrical geometries along the axial direction

Received: 28 February 2017 / Revised: 15 December 2017 / Accepted: 25 May 2018
DOI: https://doi.org/10.1051/m2an/2018039

Optimal Error Estimates for Fully Discrete Galerkin Approximations of Semilinear Parabolic Equations

Received: 25 July 2017 / Revised: 22 March 2018 / Accepted: 22 June 2018
DOI: https://doi.org/10.1051/m2an/2018040

Asymptotic Analysis of Optimized Schwarz Methods for Maxwell's Equations with Discontinuous Coefficients

Received: 25 July 2017 / Revised: 21 April 2018 / Accepted: 25 June 2018
DOI: https://doi.org/10.1051/m2an/2018041

A variant of the plane wave least squares method for the time-harmonic Maxwell's equations

Received: 13 December 2017 / Revised: 23 June 2018 / Accepted: 29 June 2018
DOI: https://doi.org/10.1051/m2an/2018043

convergence of a homotopy finite element method for computing steady states of Burgers' equation

Received: 07 July 2017 / Revised: 20 June 2018 / Accepted: 17 July 2018
DOI: https://doi.org/10.1051/m2an/2018046

Nonintrusive approximation of parametrized limits of matrix power algorithms -- application to matrix inverses and log-determinants

Received: 22 February 2017 / Revised: 24 May 2018 / Accepted: 25 August 2018
DOI: https://doi.org/10.1051/m2an/2018048

An easily computable error estimator in space and time for the wave equation

Received: 25 October 2017 / Revised: 18 May 2018 / Accepted: 25 August 2018
DOI: https://doi.org/10.1051/m2an/2018049

A posteriori error estimation for Magnus-type integrators

Received: 20 December 2017 / Revised: 13 June 2018 / Accepted: 25 August 2018
DOI: https://doi.org/10.1051/m2an/2018050

A splitting method adapted to the simulation of mixed flows in pipes with a compressible two-layer model

Received: 05 January 2018 / Revised: 07 August 2018 / Accepted: 27 August 2018
DOI: https://doi.org/10.1051/m2an/2018051

The outgoing time-harmonic electromagnetic wave in a half-space with non-absorbing boundary

Received: 18 March 2018 / Revised: 30 August 2018 / Accepted: 18 September 2018
DOI: https://doi.org/10.1051/m2an/2018055

The Virtual Element Method with curved edges

Received: 12 November 2017 / Revised: 06 June 2018 / Accepted: 14 September 2018
DOI: https://doi.org/10.1051/m2an/2018052

Hybrid Discontinuous Galerkin methods with relaxed H(div)-conformity for incompressible flows. Part II

Received: 17 May 2018 / Revised: 04 September 2018 / Accepted: 18 September 2018
DOI: https://doi.org/10.1051/m2an/2018054

A time dependent Stokes interface problem: well-posedness and space-time finite element discretization

Received: 16 March 2018 / Revised: 05 July 2018 / Accepted: 14 September 2018
DOI: https://doi.org/10.1051/m2an/2018053