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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Asymptotic behavior of acoustic waves scattered by very small obstacles

ESAIM: M2AN, Forthcoming article
Received: 03 April 2020 / Revised: 22 June 2020 / Accepted: 05 July 2020
DOI: https://doi.org/10.1051/m2an/2020047
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Projection-based model reduction with dynamically transformed modes

ESAIM: M2AN, Forthcoming article
Received: 23 December 2019 / Revised: 21 June 2020 / Accepted: 01 July 2020
DOI: https://doi.org/10.1051/m2an/2020046
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Error analysis of a conforming and locking-free four-field formulation for the stationary Biot's model

ESAIM: M2AN, Forthcoming article
Received: 02 December 2019 / Revised: 20 June 2020 / Accepted: 29 June 2020
DOI: https://doi.org/10.1051/m2an/2020045
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Finite element error analysis of surface stokes equations in stream function formulation

ESAIM: M2AN, Forthcoming article
Received: 21 October 2019 / Revised: 24 June 2020 / Accepted: 29 June 2020
DOI: https://doi.org/10.1051/m2an/2020044
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Operator splitting around Euler-Maruyama scheme and high order discretization of heat kernels

ESAIM: M2AN, Forthcoming article
Received: 01 July 2019 / Revised: 29 February 2020 / Accepted: 25 June 2020
DOI: https://doi.org/10.1051/m2an/2020043
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Explicit solutions to a free interface model for the static/flowing transition in thin granular flows

ESAIM: M2AN, Forthcoming article
Received: 08 October 2019 / Revised: 04 May 2020 / Accepted: 22 June 2020
DOI: https://doi.org/10.1051/m2an/2020042
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Guaranteed and robust {$L^2$}-norm a posteriori error estimates for {1D} linear advection problems

ESAIM: M2AN, Forthcoming article
Received: 21 April 2019 / Revised: 30 March 2020 / Accepted: 10 June 2020
DOI: https://doi.org/10.1051/m2an/2020041
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Staggered explicit-implicit time-discretisation for elastodynamics with dissipative internal variables

ESAIM: M2AN, Forthcoming article
Received: 16 October 2019 / Revised: 29 April 2020 / Accepted: 05 June 2020
DOI: https://doi.org/10.1051/m2an/2020040
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Numerical analysis for a chemotaxis-Navier-Stokes system

ESAIM: M2AN, Forthcoming article
Received: 21 October 2019 / Revised: 17 May 2020 / Accepted: 04 June 2020
DOI: https://doi.org/10.1051/m2an/2020039
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Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem

ESAIM: M2AN, Forthcoming article
Received: 19 February 2020 / Revised: 15 May 2020 / Accepted: 26 May 2020
DOI: https://doi.org/10.1051/m2an/2020038
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A four-field three-phase flow model with both miscible and immiscible components

ESAIM: M2AN, Forthcoming article
Received: 09 January 2020 / Revised: 15 April 2020 / Accepted: 25 May 2020
DOI: https://doi.org/10.1051/m2an/2020037
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The Hessian Riemannian flow and Newton's method for Effective Hamiltonians and Mather measures

ESAIM: M2AN, Forthcoming article
Received: 09 August 2019 / Revised: 31 March 2020 / Accepted: 08 May 2020
DOI: https://doi.org/10.1051/m2an/2020036
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A parameter-robust iterative method for Stokes-Darcy problems retaining local mass conservation

ESAIM: M2AN, Forthcoming article
Received: 22 July 2019 / Revised: 29 April 2020 / Accepted: 06 May 2020
DOI: https://doi.org/10.1051/m2an/2020035
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Simple and robust equilibrated flux a posteriori estimates for singularly perturbed reaction--diffusion problems

ESAIM: M2AN, Forthcoming article
Received: 17 September 2019 / Revised: 01 May 2020 / Accepted: 04 May 2020
DOI: https://doi.org/10.1051/m2an/2020034
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Galerkin–collocation approximation in time for the wave equation and its post-processing

ESAIM: M2AN, Forthcoming article
Received: 20 August 2019 / Revised: 09 April 2020 / Accepted: 01 May 2020
DOI: https://doi.org/10.1051/m2an/2020033
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Geometrically intrinsic modeling of shallow water flows

ESAIM: M2AN, Forthcoming article
Received: 08 July 2019 / Revised: 10 February 2020 / Accepted: 25 April 2020
DOI: https://doi.org/10.1051/m2an/2020031
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An integral equation formulation of the N-body dielectric spheres problem. Part 1: Numerical analysis

ESAIM: M2AN, Forthcoming article
Received: 04 February 2019 / Revised: 08 January 2020 / Accepted: 25 April 2020
DOI: https://doi.org/10.1051/m2an/2020030
Free Access

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

ESAIM: M2AN, Forthcoming article
Received: 18 November 2018 / Revised: 03 December 2019 / Accepted: 17 April 2020
DOI: https://doi.org/10.1051/m2an/2020029
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A convergent convex splitting scheme for a nonlocal Cahn--Hilliard--Oono type equation with a transport term

ESAIM: M2AN, Forthcoming article
Received: 29 June 2018 / Revised: 05 March 2020 / Accepted: 17 April 2020
DOI: https://doi.org/10.1051/m2an/2020028
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Higher-order finite element approximation of the dynamic Laplacian

ESAIM: M2AN, Forthcoming article
Received: 24 July 2019 / Revised: 06 April 2020 / Accepted: 13 April 2020
DOI: https://doi.org/10.1051/m2an/2020027
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A local discontinuous Galerkin method for nonlinear parabolic SPDEs

ESAIM: M2AN, Forthcoming article
Received: 18 May 2019 / Revised: 05 April 2020 / Accepted: 13 April 2020
DOI: https://doi.org/10.1051/m2an/2020026
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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
Free Access

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
Free Access

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
Free Access

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
Free Access

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 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
Free Access

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
Free Access

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
Free Access

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
Free Access

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
Free Access

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
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Nonlinear geometric optics based multiscale stochastic Galerkin methods for highly oscillatory transport equations with random inputs

ESAIM: M2AN, Forthcoming article
Received: 27 June 2018 / Revised: 30 September 2019 / Accepted: 19 December 2019
DOI: https://doi.org/10.1051/m2an/2019094
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