ESAIM: Mathematical Modelling and Numerical Analysis

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stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D

Received: 27 November 2018 / Revised: 30 April 2019 / Accepted: 11 June 2019
DOI: https://doi.org/10.1051/m2an/2019041

Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction

Received: 14 November 2018 / Revised: 12 April 2019 / Accepted: 11 June 2019
DOI: https://doi.org/10.1051/m2an/2019042

Multilevel weighted least squares polynomial approximation

Received: 04 October 2017 / Revised: 28 January 2019 / Accepted: 21 June 2019
DOI: https://doi.org/10.1051/m2an/2019045

A posteriori error estimates for Darcy's problem coupled with the heat equation

Received: 14 December 2018 / Revised: 04 June 2019 / Accepted: 27 June 2019
DOI: https://doi.org/10.1051/m2an/2019049

Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation

Received: 22 December 2018 / Revised: 15 May 2019 / Accepted: 30 June 2019
DOI: https://doi.org/10.1051/m2an/2019050

Error estimates for a partially penalized immersed finite element method for elasticity interface problems

Received: 29 November 2018 / Revised: 27 May 2019 / Accepted: 28 June 2019
DOI: https://doi.org/10.1051/m2an/2019051

Convergence analysis of a LDG method for tempered fractional convection-diffusion equations

Received: 13 March 2019 / Revised: 02 July 2019 / Accepted: 17 July 2019
DOI: https://doi.org/10.1051/m2an/2019052

Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications

Received: 10 March 2019 / Revised: 21 August 2019 / Accepted: 22 August 2019
DOI: https://doi.org/10.1051/m2an/2019053

A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection

Received: 26 March 2019 / Revised: 20 July 2019 / Accepted: 22 August 2019
DOI: https://doi.org/10.1051/m2an/2019054

A variational formulation for computing shape derivatives of geometric constraints along rays

Received: 24 September 2018 / Revised: 13 July 2019 / Accepted: 24 August 2019
DOI: https://doi.org/10.1051/m2an/2019056

Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry

Received: 28 May 2018 / Revised: 23 May 2019 / Accepted: 01 August 2019
DOI: https://doi.org/10.1051/m2an/2019057

Finite element approximation of an obstacle problem for a class of integro--differential operators

Received: 04 August 2018 / Accepted: 01 August 2019
DOI: https://doi.org/10.1051/m2an/2019058

Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters

Received: 04 December 2018 / Revised: 17 July 2019 / Accepted: 01 August 2019
DOI: https://doi.org/10.1051/m2an/2019059

Periodic solutions of a hysteresis model for breathing

Received: 01 February 2019 / Revised: 15 July 2019 / Accepted: 21 August 2019
DOI: https://doi.org/10.1051/m2an/2019060

Well–posedness of a non-local model for material flow on conveyor belts

Received: 20 February 2019 / Revised: 09 July 2019 / Accepted: 26 August 2019
DOI: https://doi.org/10.1051/m2an/2019062

Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity

Received: 01 November 2018 / Revised: 01 August 2019 / Accepted: 29 August 2019
DOI: https://doi.org/10.1051/m2an/2019063

A new methodology to create valid time-dependent correlation matrices via isospectral flows

Received: 29 January 2019 / Revised: 01 August 2019 / Accepted: 29 August 2019
DOI: https://doi.org/10.1051/m2an/2019064

Non-linear analysis of a model for yeast cell communication

Received: 10 April 2019 / Revised: 12 August 2019 / Accepted: 29 August 2019
DOI: https://doi.org/10.1051/m2an/2019065

Continuum limit of the nonlocal $p$-Laplacian evolution problem on random inhomogeneous graphs

Received: 26 April 2019 / Revised: 21 August 2019 / Accepted: 31 August 2019
DOI: https://doi.org/10.1051/m2an/2019066

Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise

Received: 10 January 2019 / Revised: 15 July 2019 / Accepted: 31 August 2019
DOI: https://doi.org/10.1051/m2an/2019067

Up-wind difference approximation and singularity formation for a slow erosion model

Received: 30 July 2018 / Revised: 04 September 2019 / Accepted: 10 September 2019
DOI: https://doi.org/10.1051/m2an/2019068

A minimum entropy principle in the compressible multicomponent Euler equations

Received: 20 June 2019 / Revised: 28 August 2019 / Accepted: 19 September 2019
DOI: https://doi.org/10.1051/m2an/2019070

A Nitsche-based formulation for fluid-structure interactions with contact

Received: 21 February 2019 / Revised: 25 July 2019 / Accepted: 14 October 2019
DOI: https://doi.org/10.1051/m2an/2019072

On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates

Received: 20 June 2019 / Revised: 14 October 2019 / Accepted: 15 October 2019
DOI: https://doi.org/10.1051/m2an/2019073

Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations

Received: 17 May 2019 / Revised: 18 September 2019 / Accepted: 17 October 2019
DOI: https://doi.org/10.1051/m2an/2019075
Review

Numerical approximations for fractional elliptic equations via the method of semigroups

Received: 29 December 2018 / Revised: 08 June 2019 / Accepted: 23 October 2019
DOI: https://doi.org/10.1051/m2an/2019076

Exact simulation of first exit times for one-dimensional diffusion processes

Received: 09 May 2019 / Revised: 25 September 2019 / Accepted: 24 October 2019
DOI: https://doi.org/10.1051/m2an/2019077

Long-time behaviour of the approximate solution to quasi-convolution Volterra equations

Received: 10 September 2018 / Revised: 18 October 2019 / Accepted: 25 October 2019
DOI: https://doi.org/10.1051/m2an/2019078

Construction and analysis of fourth order, energy consistent, family of explicit time discretizations for dissipative linear wave equations.

Received: 03 August 2018 / Revised: 22 May 2019 / Accepted: 06 November 2019
DOI: https://doi.org/10.1051/m2an/2019079

Optimal error estimates of the semidiscrete discontinuous Galerkin methods for two dimensional hyperbolic equations on Cartesian meshes using $P^k$ elements

Received: 25 July 2019 / Revised: 25 September 2019 / Accepted: 19 November 2019
DOI: https://doi.org/10.1051/m2an/2019080

Stochastic homogenization of a scalar viscoelastic model exhibiting stress-strain hysteresis

Received: 15 February 2018 / Revised: 08 October 2019 / Accepted: 19 November 2019
DOI: https://doi.org/10.1051/m2an/2019081

Exponential convergence of Cartesian PML method for Maxwell's equations in a two-layer medium

Received: 30 April 2019 / Revised: 14 October 2019 / Accepted: 22 November 2019
DOI: https://doi.org/10.1051/m2an/2019082

Time discretization of an initial value problem for a simultaneous abstract evolution equation applying to parabolic-hyperbolic phase-field systems

Received: 15 June 2019 / Revised: 22 November 2019 / Accepted: 01 December 2019
DOI: https://doi.org/10.1051/m2an/2019086

Computation of the magnetic potential induced by a collection of spherical particles using series expansions

Received: 15 July 2019 / Revised: 26 November 2019 / Accepted: 02 December 2019
DOI: https://doi.org/10.1051/m2an/2019087

Numerical Analysis of Sparse Initial Data Identification for Parabolic Problems

Received: 02 May 2019 / Revised: 07 November 2019 / Accepted: 25 November 2019
DOI: https://doi.org/10.1051/m2an/2019083