ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN)

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Editorial

Publisher’s Note p. S1

Anne Ruimy and Amandine Véber

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2021003

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Numerical approximations for a fully fractional Allen–Cahn equation p. S3

Gabriel Acosta and Francisco M. Bersetche

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020022

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On a class of splines free of Gibbs phenomenon p. S29

Sergio Amat, Juan Ruiz, Chi-Wang Shu and Juan Carlos Trillo

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020021

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An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis p. S65

Muhammad Hassan and Benjamin Stamm

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020030

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Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions p. S103

Wentao Cai, Buyang Li and Ying Li

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020029

Open Access

Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids p. S149

Antti Hannukainen, Jean-Christophe Mourrat and Harmen T. Stoppels

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020024

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A local discontinuous Galerkin method for nonlinear parabolic SPDEs p. S187

Yunzhang Li, Chi-Wang Shu and Shanjian Tang

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020026

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A convergent convex splitting scheme for a nonlocal Cahn–Hilliard–Oono type equation with a transport term p. S225

Laurence Cherfils, Hussein Fakih, Maurizio Grasselli and Alain Miranville

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020028

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A four-field three-phase flow model with both miscible and immiscible components p. S251

Jean-Marc Hérard, Olivier Hurisse and Lucie Quibel

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020037

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Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem p. S279

Ramon Codina and Laura Moreno

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020038

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On particles and splines in bounded domains p. S301

Matthias Kirchhart

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020032

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Operator splitting around Euler–Maruyama scheme and high order discretization of heat kernels p. S323

Yuga Iguchi and Toshihiro Yamada

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020043

Open Access

Explicit solutions to a free interface model for the static/flowing transition in thin granular flows p. S369

Christelle Lusso, François Bouchut, Alexandre Ern and Anne Mangeney

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020042

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Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables p. S397

Tomáš Roubíček and Chrysoula Tsogka

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020040

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Numerical analysis for a chemotaxis-Navier–Stokes system p. S417

Abelardo Duarte-Rodríguez, María Ángeles Rodríguez-Bellido, Diego A. Rueda-Gómez and Élder J. Villamizar-Roa

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020039

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Guaranteed and robust L²-norm a posteriori error estimates for 1D linear advection problems p. S447

Alexndre Ern, Martin Vohralík and Mohammad Zakerzadeh

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020041

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Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model p. S475

Ricardo Oyarzúa, Sander Rhebergen, Manuel Solano and Paulo Zúñiga

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020045

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An asymptotic model based on matching far and near field expansions for thin gratings problems p. S507

Peter B. Monk, Cinthya Rivas, Rodolfo Rodríguez and Manuel E. Solano

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020053

Open Access

Discrete transparent boundary conditions for the two-dimensional leap-frog scheme: approximation and fast implementation p. S535

Christophe Besse, Jean-François Coulombel and Pascal Noble

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020052

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Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems p. S573

Rachida Boudjerada, Ahmad El Hajj and Aya Oussaily

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020049

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Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states p. S593

Petr Plecháč, Gabriel Stoltz and Ting Wang

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020050

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An integral equation formulation of the N-body dielectric spheres problem. Part II: complexity analysis p. S625

Bérenger Bramas, Muhammad Hassan and Benjamin Stamm

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020055

Free Access

Analytical and numerical bifurcation analysis of a forest ecosystem model with human interaction p. S653

Konstantinos Spiliotis, Lucia Russo, Francesco Giannino and Constantinos Siettos

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020054

Free Access

General polytopal H(div)-conformal finite elements and their discretisation spaces p. S677

Rémi Abgrall, Élise Le Mélédo and Philipp Öffner

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020048

Open Access

Asymptotic behavior of acoustic waves scattered by very small obstacles p. S705

Hélène Barucq, Julien Diaz, Vanessa Mattesi and Sebastien Tordeux

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020047

Open Access

Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics p. S733

Bin Cheng, Qiangchang Ju and Steve Schochet

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020051

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Numerical upscaling for heterogeneous materials in fractured domains p. S761

Fredrik Hellman, Axel Målqvist and Siyang Wang

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020061

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A polygonal discontinuous Galerkin method with minus one stabilization p. S785

Silvia Bertoluzza and Daniele Prada

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020059

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An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems p. S811

Huaiqian You, Xin Yang Lu, Nathaniel Trask and Yue Yu

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020058

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Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics p. S853

Peter Gangl and Kevin Sturm

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020060

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Erratum

Erratum to “A C1-P2 finite element without nodal basis” p. S877

Shangyou Zhang

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020066

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Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources p. S879

Ignacio Ojea

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020065

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On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity p. S909

Xialan Tang, Zhibin Liu, Baiju Zhang and Minfu Feng

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020064

Free Access

Nitsche-based models for the unilateral contact of plates p. S941

Mathieu Fabre, Cédric Pozzolini and Yves Renard

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020063

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Space time stabilized finite element methods for a unique continuation problem subject to the wave equation p. S969

Erik Burman, Ali Feizmohammadi, Arnaud Münch and Lauri Oksanen

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020062

Free Access

Mixed methods for degenerate elliptic problems and application to fractional Laplacian p. S993

María E. Cejas, Ricardo G. Durán and Mariana I. Prieto

Published online: 26 February 2021

DOI: https://doi.org/10.1051/m2an/2020068

ESAIM: Mathematical Modelling and Numerical Analysis

Volume 55 (2021) Supplement

Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte

Publisher’s Note p. S1

Numerical approximations for a fully fractional Allen–Cahn equation p. S3

On a class of splines free of Gibbs phenomenon p. S29

An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis p. S65

Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions p. S103

Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids p. S149

A local discontinuous Galerkin method for nonlinear parabolic SPDEs p. S187

A convergent convex splitting scheme for a nonlocal Cahn–Hilliard–Oono type equation with a transport term p. S225

A four-field three-phase flow model with both miscible and immiscible components p. S251

Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem p. S279

On particles and splines in bounded domains p. S301

Operator splitting around Euler–Maruyama scheme and high order discretization of heat kernels p. S323

Explicit solutions to a free interface model for the static/flowing transition in thin granular flows p. S369

Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables p. S397

Numerical analysis for a chemotaxis-Navier–Stokes system p. S417

Guaranteed and robust L²-norm a posteriori error estimates for 1D linear advection problems p. S447

Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model p. S475

An asymptotic model based on matching far and near field expansions for thin gratings problems p. S507

Discrete transparent boundary conditions for the two-dimensional leap-frog scheme: approximation and fast implementation p. S535

Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems p. S573

Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states p. S593

An integral equation formulation of the N-body dielectric spheres problem. Part II: complexity analysis p. S625

Analytical and numerical bifurcation analysis of a forest ecosystem model with human interaction p. S653

General polytopal H(div)-conformal finite elements and their discretisation spaces p. S677

Asymptotic behavior of acoustic waves scattered by very small obstacles p. S705

Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics p. S733

Numerical upscaling for heterogeneous materials in fractured domains p. S761

A polygonal discontinuous Galerkin method with minus one stabilization p. S785

An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems p. S811

Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics p. S853

Erratum to “A C1-P2 finite element without nodal basis” p. S877

Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources p. S879

On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity p. S909

Nitsche-based models for the unilateral contact of plates p. S941

Space time stabilized finite element methods for a unique continuation problem subject to the wave equation p. S969

Mixed methods for degenerate elliptic problems and application to fractional Laplacian p. S993

ESAIM: Mathematical Modelling and Numerical Analysis

Volume 55 (2021) Supplement

Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte

Publisher’s Note p. S1

Numerical approximations for a fully fractional Allen–Cahn equation p. S3

On a class of splines free of Gibbs phenomenon p. S29

An integral equation formulation of the N-body dielectric spheres problem. Part I: numerical analysis p. S65

Error analysis of a fully discrete finite element method for variable density incompressible flows in two dimensions p. S103

Computing homogenized coefficients via multiscale representation and hierarchical hybrid grids p. S149

A local discontinuous Galerkin method for nonlinear parabolic SPDEs p. S187

A convergent convex splitting scheme for a nonlocal Cahn–Hilliard–Oono type equation with a transport term p. S225

A four-field three-phase flow model with both miscible and immiscible components p. S251

Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem p. S279

On particles and splines in bounded domains p. S301

Operator splitting around Euler–Maruyama scheme and high order discretization of heat kernels p. S323

Explicit solutions to a free interface model for the static/flowing transition in thin granular flows p. S369

Staggered explicit-implicit time-discretization for elastodynamics with dissipative internal variables p. S397

Numerical analysis for a chemotaxis-Navier–Stokes system p. S417

Guaranteed and robust L2-norm a posteriori error estimates for 1D linear advection problems p. S447

Error analysis of a conforming and locking-free four-field formulation for the stationary Biot’s model p. S475

An asymptotic model based on matching far and near field expansions for thin gratings problems p. S507

Discrete transparent boundary conditions for the two-dimensional leap-frog scheme: approximation and fast implementation p. S535

Convergence of an implicit scheme for diagonal non-conservative hyperbolic systems p. S573

Convergence of the likelihood ratio method for linear response of non-equilibrium stationary states p. S593

An integral equation formulation of the N-body dielectric spheres problem. Part II: complexity analysis p. S625

Analytical and numerical bifurcation analysis of a forest ecosystem model with human interaction p. S653

General polytopal H(div)-conformal finite elements and their discretisation spaces p. S677

Asymptotic behavior of acoustic waves scattered by very small obstacles p. S705

Convergence rate estimates for the low Mach and Alfvén number three-scale singular limit of compressible ideal magnetohydrodynamics p. S733

Numerical upscaling for heterogeneous materials in fractured domains p. S761

A polygonal discontinuous Galerkin method with minus one stabilization p. S785

An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems p. S811

Asymptotic analysis and topological derivative for 3D quasi-linear magnetostatics p. S853

Erratum to “A C1-P2 finite element without nodal basis” p. S877

Optimal a priori error estimates in weighted Sobolev spaces for the Poisson problem with singular sources p. S879

On the locking-free three-field virtual element methods for Biot’s consolidation model in poroelasticity p. S909

Nitsche-based models for the unilateral contact of plates p. S941

Space time stabilized finite element methods for a unique continuation problem subject to the wave equation p. S969

Mixed methods for degenerate elliptic problems and application to fractional Laplacian p. S993

Guaranteed and robust L²-norm a posteriori error estimates for 1D linear advection problems p. S447