ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) gives online access to unedited preprint version of accepted papers, ahead of publication. This online version does not take into account corrections made during production process.

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Some multiple flow direction algorithms for overland flow on general meshes

ESAIM: M2AN, Forthcoming article
Received: 17 September 2019 / Revised: 06 April 2020 / Accepted: 09 April 2020
DOI: https://doi.org/10.1051/m2an/2020025
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Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids

ESAIM: M2AN, Forthcoming article
Received: 19 June 2019 / Revised: 08 January 2020 / Accepted: 05 April 2020
DOI: https://doi.org/10.1051/m2an/2020024
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Analysis of optimal superconvergence of an ultraweak-local discontinuous Galerkin method for a time dependent fourth-order equation

ESAIM: M2AN, Forthcoming article
Received: 24 October 2019 / Revised: 14 March 2020 / Accepted: 04 April 2020
DOI: https://doi.org/10.1051/m2an/2020023
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Numerical approximations for a fully fractional Allen-Cahn equation

ESAIM: M2AN, Forthcoming article
Received: 29 March 2019 / Revised: 27 February 2020 / Accepted: 30 March 2020
DOI: https://doi.org/10.1051/m2an/2020022
Free Access

On a class of splines free of Gibbs phenomenon

ESAIM: M2AN, Forthcoming article
Received: 08 April 2019 / Revised: 08 February 2020 / Accepted: 28 March 2020
DOI: https://doi.org/10.1051/m2an/2020021
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Locality of interatomic forces in tight binding models for insulators

ESAIM: M2AN, Forthcoming article
Received: 17 August 2019 / Revised: 07 February 2020 / Accepted: 24 March 2020
DOI: https://doi.org/10.1051/m2an/2020020
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Mathematical modelling of Acoustic Radiation Force in transient shear wave elastography in the heart

ESAIM: M2AN, Forthcoming article
Received: 05 April 2019 / Revised: 20 December 2019 / Accepted: 17 March 2020
DOI: https://doi.org/10.1051/m2an/2020019
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Numerical algorithm for the model describing anomalous diffusion in expanding media

ESAIM: M2AN, Forthcoming article
Received: 12 October 2019 / Revised: 29 January 2020 / Accepted: 11 March 2020
DOI: https://doi.org/10.1051/m2an/2020018
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High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs

ESAIM: M2AN, Forthcoming article
Received: 23 July 2019 / Revised: 14 February 2020 / Accepted: 11 March 2020
DOI: https://doi.org/10.1051/m2an/2020017
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Analysis of an hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system

ESAIM: M2AN, Forthcoming article
Received: 24 August 2019 / Revised: 29 January 2020 / Accepted: 03 March 2020
DOI: https://doi.org/10.1051/m2an/2020015
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A Gamma-convergence result for fluid-filled fracture propagation

ESAIM: M2AN, Forthcoming article
Received: 05 February 2019 / Revised: 29 February 2020 / Accepted: 03 March 2020
DOI: https://doi.org/10.1051/m2an/2020016
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PDE eigenvalue iterations with applications in two-dimensional photonic crystals

ESAIM: M2AN, Forthcoming article
Received: 03 May 2019 / Revised: 30 November 2019 / Accepted: 26 February 2020
DOI: https://doi.org/10.1051/m2an/2020014
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Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces.

ESAIM: M2AN, Forthcoming article
Received: 24 September 2019 / Revised: 25 January 2020 / Accepted: 22 February 2020
DOI: https://doi.org/10.1051/m2an/2020013
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Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise

ESAIM: M2AN, Forthcoming article
Received: 29 October 2019 / Revised: 12 February 2020 / Accepted: 17 February 2020
DOI: https://doi.org/10.1051/m2an/2020012
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A dual hybrid Virtual Element Method for plane elasticity problems

ESAIM: M2AN, Forthcoming article
Received: 12 February 2019 / Revised: 01 November 2019 / Accepted: 11 February 2020
DOI: https://doi.org/10.1051/m2an/2020011
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A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary

ESAIM: M2AN, Forthcoming article
Received: 22 May 2019 / Revised: 24 January 2020 / Accepted: 11 February 2020
DOI: https://doi.org/10.1051/m2an/2020010
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A conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem

ESAIM: M2AN, Forthcoming article
Received: 08 August 2019 / Revised: 05 February 2020 / Accepted: 09 February 2020
DOI: https://doi.org/10.1051/m2an/2020009
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Trend to equilibrium for systems with small cross-diffusion

ESAIM: M2AN, Forthcoming article
Received: 19 June 2019 / Revised: 19 January 2020 / Accepted: 04 February 2020
DOI: https://doi.org/10.1051/m2an/2020008
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A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem

ESAIM: M2AN, Forthcoming article
Received: 11 March 2019 / Revised: 23 January 2020 / Accepted: 24 January 2020
DOI: https://doi.org/10.1051/m2an/2020007
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On time-splitting methods for nonlinear Schr\"{o}dinger equation with highly oscillatory potential

ESAIM: M2AN, Forthcoming article
Received: 31 January 2019 / Revised: 12 September 2019 / Accepted: 20 January 2020
DOI: https://doi.org/10.1051/m2an/2020006
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Analysis of cell size effects in atomistic crack propagation

ESAIM: M2AN, Forthcoming article
Received: 11 July 2019 / Revised: 20 December 2019 / Accepted: 18 January 2020
DOI: https://doi.org/10.1051/m2an/2020005
Free Access

Reduced basis greedy selection using random training sets

ESAIM: M2AN, Forthcoming article
Received: 22 October 2018 / Revised: 18 October 2019 / Accepted: 13 January 2020
DOI: https://doi.org/10.1051/m2an/2020004
Free Access

Convergence rates of high dimensional Smolyak quadrature

ESAIM: M2AN, Forthcoming article
Received: 30 June 2017 / Revised: 23 December 2019 / Accepted: 13 January 2020
DOI: https://doi.org/10.1051/m2an/2020003
Free Access

T-junction of ferroelectric wires

ESAIM: M2AN, Forthcoming article
Received: 02 December 2019 / Accepted: 23 December 2019
DOI: https://doi.org/10.1051/m2an/2020001
Free Access

Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation

ESAIM: M2AN, Forthcoming article
Received: 15 April 2019 / Revised: 16 December 2019 / Accepted: 19 December 2019
DOI: https://doi.org/10.1051/m2an/2019095
Free Access

Finite element approximation of elliptic homogenization problems in nondivergence-form

ESAIM: M2AN, Forthcoming article
Received: 28 May 2019 / Revised: 21 October 2019 / Accepted: 18 December 2019
DOI: https://doi.org/10.1051/m2an/2019093
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Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincare eigenfunctions

ESAIM: M2AN, Forthcoming article
Received: 07 May 2019 / Revised: 10 November 2019 / Accepted: 13 December 2019
DOI: https://doi.org/10.1051/m2an/2019091
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A finite element method for the generalized Ericksen model of nematic liquid crystals

ESAIM: M2AN, Forthcoming article
Received: 07 May 2019 / Revised: 08 October 2019 / Accepted: 13 December 2019
DOI: https://doi.org/10.1051/m2an/2019092
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Convergence of second-order, entropy stable methods for multi-dimensional conservation laws

ESAIM: M2AN, Forthcoming article
Received: 12 June 2019 / Revised: 05 December 2019 / Accepted: 10 December 2019
DOI: https://doi.org/10.1051/m2an/2019090
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An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems

ESAIM: M2AN, Forthcoming article
Received: 15 March 2019 / Revised: 29 October 2019 / Accepted: 06 December 2019
DOI: https://doi.org/10.1051/m2an/2019089
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Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology

ESAIM: M2AN, Forthcoming article
Received: 21 August 2019 / Revised: 25 November 2019 / Accepted: 06 December 2019
DOI: https://doi.org/10.1051/m2an/2019088
Free Access

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

ESAIM: M2AN, Forthcoming article
Received: 15 July 2019 / Revised: 26 November 2019 / Accepted: 02 December 2019
DOI: https://doi.org/10.1051/m2an/2019087
Free Access

Analysis of the Morley element for the Cahn-Hilliard equation and the Hele-Shaw flow

ESAIM: M2AN, Forthcoming article
Received: 17 May 2019 / Revised: 04 November 2019 / Accepted: 01 December 2019
DOI: https://doi.org/10.1051/m2an/2019085
Free Access

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

ESAIM: M2AN, Forthcoming article
Received: 15 June 2019 / Revised: 22 November 2019 / Accepted: 01 December 2019
DOI: https://doi.org/10.1051/m2an/2019086
Free Access

A remark on Uzawa's algorithm and an application to mean field games systems.

ESAIM: M2AN, Forthcoming article
Received: 12 September 2018 / Revised: 07 September 2019 / Accepted: 29 November 2019
DOI: https://doi.org/10.1051/m2an/2019084
Free Access

Numerical analysis of sparse initial data identification for parabolic problems

ESAIM: M2AN, Forthcoming article
Received: 02 May 2019 / Revised: 07 November 2019 / Accepted: 25 November 2019
DOI: https://doi.org/10.1051/m2an/2019083
Free Access

Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems

ESAIM: M2AN, Forthcoming article
Received: 11 February 2019 / Revised: 08 July 2019 / Accepted: 16 October 2019
DOI: https://doi.org/10.1051/m2an/2019074
Free Access

Chemotaxis on networks: Analysis and numerical approximation

ESAIM: M2AN, Forthcoming article
Received: 05 October 2018 / Revised: 29 August 2019 / Accepted: 16 September 2019
DOI: https://doi.org/10.1051/m2an/2019069