ESAIM: Mathematical Modelling and Numerical Analysis

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Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids

Received: 19 June 2019 / Revised: 08 January 2020 / Accepted: 05 April 2020
DOI: https://doi.org/10.1051/m2an/2020024

A convergent convex splitting scheme for a nonlocal Cahn--Hilliard--Oono type equation with a transport term

Received: 29 June 2018 / Revised: 05 March 2020 / Accepted: 17 April 2020
DOI: https://doi.org/10.1051/m2an/2020028

Error analysis of a fully discrete finite element method for incompressible flow with variable density

Received: 18 November 2018 / Revised: 03 December 2019 / Accepted: 17 April 2020
DOI: https://doi.org/10.1051/m2an/2020029

An integral equation formulation of the N-body dielectric spheres problem. Part 1: Numerical analysis

Received: 04 February 2019 / Revised: 08 January 2020 / Accepted: 25 April 2020
DOI: https://doi.org/10.1051/m2an/2020030

A four-field three-phase flow model with both miscible and immiscible components

Received: 09 January 2020 / Revised: 15 April 2020 / Accepted: 25 May 2020
DOI: https://doi.org/10.1051/m2an/2020037

Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem

Received: 19 February 2020 / Revised: 15 May 2020 / Accepted: 26 May 2020
DOI: https://doi.org/10.1051/m2an/2020038

Numerical analysis for a chemotaxis-Navier-Stokes system

Received: 21 October 2019 / Revised: 17 May 2020 / Accepted: 04 June 2020
DOI: https://doi.org/10.1051/m2an/2020039

Staggered explicit-implicit time-discretisation for elastodynamics with dissipative internal variables

Received: 16 October 2019 / Revised: 29 April 2020 / Accepted: 05 June 2020
DOI: https://doi.org/10.1051/m2an/2020040

Guaranteed and robust {$L^2$}-norm a posteriori error estimates for {1D} linear advection problems

Received: 21 April 2019 / Revised: 30 March 2020 / Accepted: 10 June 2020
DOI: https://doi.org/10.1051/m2an/2020041

Explicit solutions to a free interface model for the static/flowing transition in thin granular flows

Received: 08 October 2019 / Revised: 04 May 2020 / Accepted: 22 June 2020
DOI: https://doi.org/10.1051/m2an/2020042

Operator splitting around Euler-Maruyama scheme and high order discretization of heat kernels

Received: 01 July 2019 / Revised: 29 February 2020 / Accepted: 25 June 2020
DOI: https://doi.org/10.1051/m2an/2020043

Error analysis of a conforming and locking-free four-field formulation for the stationary Biot's model

Received: 02 December 2019 / Revised: 20 June 2020 / Accepted: 29 June 2020
DOI: https://doi.org/10.1051/m2an/2020045

Asymptotic behavior of acoustic waves scattered by very small obstacles

Received: 03 April 2020 / Revised: 22 June 2020 / Accepted: 05 July 2020
DOI: https://doi.org/10.1051/m2an/2020047

General polytopal H(div)-conformal finite elements and their discretisation spaces.

Received: 17 October 2019 / Revised: 16 July 2020 / Accepted: 18 July 2020
DOI: https://doi.org/10.1051/m2an/2020048

Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems

Received: 11 February 2020 / Revised: 16 May 2020 / Accepted: 13 July 2020
DOI: https://doi.org/10.1051/m2an/2020049

Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states

Received: 07 February 2020 / Accepted: 23 July 2020
DOI: https://doi.org/10.1051/m2an/2020050

Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics

Received: 10 March 2020 / Accepted: 23 July 2020
DOI: https://doi.org/10.1051/m2an/2020051

Discrete transparent boundary conditions for the two-dimensional leap-frog scheme

Received: 06 September 2019 / Revised: 16 July 2020 / Accepted: 25 July 2020
DOI: https://doi.org/10.1051/m2an/2020052

An asymptotic model based on matching far and near field expansions for thin gratings problems

Received: 16 October 2019 / Revised: 11 June 2020 / Accepted: 28 July 2020
DOI: https://doi.org/10.1051/m2an/2020053

Analytical and numerical bifurcation analysis of a forest ecosystem model with human interaction

Received: 25 October 2019 / Revised: 16 June 2020 / Accepted: 28 July 2020
DOI: https://doi.org/10.1051/m2an/2020054

An integral equation formulation of the N-body dielectric spheres problem. Part 2: Complexity analysis

Received: 15 November 2019 / Revised: 18 July 2020 / Accepted: 31 July 2020
DOI: https://doi.org/10.1051/m2an/2020055

Numerical upscaling for heterogeneous materials in fractured domains

Received: 10 August 2019 / Revised: 17 July 2020 / Accepted: 11 August 2020
DOI: https://doi.org/10.1051/m2an/2020061

Space time stabilized finite element methods for a unique continuation problem subject to the wave equation

Received: 02 December 2019 / Revised: 20 May 2020 / Accepted: 25 August 2020
DOI: https://doi.org/10.1051/m2an/2020062

On the locking-free three-field virtual element methods for Biot's consolidation model in poroelasticity

Received: 23 February 2020 / Revised: 13 July 2020 / Accepted: 28 August 2020
DOI: https://doi.org/10.1051/m2an/2020064

Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources

Received: 14 August 2019 / Revised: 22 August 2020 / Accepted: 01 September 2020
DOI: https://doi.org/10.1051/m2an/2020065

Mixed methods for degenerate elliptic problems and application to fractional Laplacian

Received: 23 April 2020 / Revised: 14 August 2020 / Accepted: 08 September 2020
DOI: https://doi.org/10.1051/m2an/2020068

Central discontinuous Galerkin methods on overlapping meshes for wave equations

Received: 05 April 2020 / Revised: 15 September 2020 / Accepted: 17 September 2020
DOI: https://doi.org/10.1051/m2an/2020069

Quantification of model uncertainty on path-space via goal-oriented relative entropy

Received: 27 March 2020 / Revised: 02 September 2020 / Accepted: 05 October 2020
DOI: https://doi.org/10.1051/m2an/2020070

Well-posedness and numerical approximation of a fractional diffusion equation with a nonlinear variable order

Received: 23 April 2020 / Revised: 14 July 2020 / Accepted: 05 October 2020
DOI: https://doi.org/10.1051/m2an/2020072

Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs

Received: 14 April 2020 / Revised: 01 September 2020 / Accepted: 16 October 2020
DOI: https://doi.org/10.1051/m2an/2020073

Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics

Received: 30 July 2019 / Revised: 20 July 2020 / Accepted: 10 November 2020
DOI: https://doi.org/10.1051/m2an/2020078

An iterative method for elliptic problems with rapidly oscillating coefficients

Received: 27 March 2020 / Revised: 10 September 2020 / Accepted: 19 November 2020
DOI: https://doi.org/10.1051/m2an/2020080

Unified analysis of discontinuous Galerkin and $C^0$-interior penalty finite element methods for Hamilton--Jacobi--Bellman and Isaacs equations

Received: 15 June 2020 / Revised: 13 October 2020 / Accepted: 24 November 2020
DOI: https://doi.org/10.1051/m2an/2020081