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ESAIM: Mathematical Modelling and Numerical Analysis

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Chemotaxis on networks: Analysis and numerical approximation

Received: 05 October 2018 / Revised: 29 August 2019 / Accepted: 16 September 2019
DOI: https://doi.org/10.1051/m2an/2019069
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Primal-dual gap estimators for a posteriori error analysis of nonsmooth minimization problems

Received: 11 February 2019 / Revised: 08 July 2019 / Accepted: 16 October 2019
DOI: https://doi.org/10.1051/m2an/2019074
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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
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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
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A remark on Uzawa's algorithm and an application to mean field games systems.

Received: 12 September 2018 / Revised: 07 September 2019 / Accepted: 29 November 2019
DOI: https://doi.org/10.1051/m2an/2019084
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Analysis of the Morley element for the Cahn-Hilliard equation and the Hele-Shaw flow

Received: 17 May 2019 / Revised: 04 November 2019 / Accepted: 01 December 2019
DOI: https://doi.org/10.1051/m2an/2019085
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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
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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
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Outgoing solutions and radiation boundary conditions for the ideal atmospheric scalar wave equation in helioseismology

Received: 21 August 2019 / Revised: 25 November 2019 / Accepted: 06 December 2019
DOI: https://doi.org/10.1051/m2an/2019088
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An asymptotically compatible approach for Neumann-type boundary condition on nonlocal problems

Received: 15 March 2019 / Revised: 29 October 2019 / Accepted: 06 December 2019
DOI: https://doi.org/10.1051/m2an/2019089
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Convergence of second-order, entropy stable methods for multi-dimensional conservation laws

Received: 12 June 2019 / Revised: 05 December 2019 / Accepted: 10 December 2019
DOI: https://doi.org/10.1051/m2an/2019090
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Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincare eigenfunctions

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

Received: 07 May 2019 / Revised: 08 October 2019 / Accepted: 13 December 2019
DOI: https://doi.org/10.1051/m2an/2019092
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Finite element approximation of elliptic homogenization problems in nondivergence-form

Received: 28 May 2019 / Revised: 21 October 2019 / Accepted: 18 December 2019
DOI: https://doi.org/10.1051/m2an/2019093
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Nonlinear iteration acceleration solution for equilibrium radiation diffusion equation

Received: 15 April 2019 / Revised: 16 December 2019 / Accepted: 19 December 2019
DOI: https://doi.org/10.1051/m2an/2019095
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Reduced basis greedy selection using random training sets

Received: 22 October 2018 / Revised: 18 October 2019 / Accepted: 13 January 2020
DOI: https://doi.org/10.1051/m2an/2020004
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Analysis of cell size effects in atomistic crack propagation

Received: 11 July 2019 / Revised: 20 December 2019 / Accepted: 18 January 2020
DOI: https://doi.org/10.1051/m2an/2020005
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On time-splitting methods for nonlinear Schr\"{o}dinger equation with highly oscillatory potential

Received: 31 January 2019 / Revised: 12 September 2019 / Accepted: 20 January 2020
DOI: https://doi.org/10.1051/m2an/2020006
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A Banach spaces-based analysis of a new fully-mixed finite element method for the Boussinesq problem

Received: 11 March 2019 / Revised: 23 January 2020 / Accepted: 24 January 2020
DOI: https://doi.org/10.1051/m2an/2020007
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Trend to equilibrium for systems with small cross-diffusion

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 conforming mixed finite element method for the Navier-Stokes/Darcy-Forchheimer coupled problem

Received: 08 August 2019 / Revised: 05 February 2020 / Accepted: 09 February 2020
DOI: https://doi.org/10.1051/m2an/2020009
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A stiffly stable semi-discrete scheme for the characteristic linear hyperbolic relaxation with boundary

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 dual hybrid Virtual Element Method for plane elasticity problems

Received: 12 February 2019 / Revised: 01 November 2019 / Accepted: 11 February 2020
DOI: https://doi.org/10.1051/m2an/2020011
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Weak convergence of fully discrete finite element approximations of semilinear hyperbolic SPDE with additive noise

Received: 29 October 2019 / Revised: 12 February 2020 / Accepted: 17 February 2020
DOI: https://doi.org/10.1051/m2an/2020012
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Nonlinear model reduction on metric spaces. Application to one-dimensional conservative PDEs in Wasserstein spaces.

Received: 24 September 2019 / Revised: 25 January 2020 / Accepted: 22 February 2020
DOI: https://doi.org/10.1051/m2an/2020013
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PDE eigenvalue iterations with applications in two-dimensional photonic crystals

Received: 03 May 2019 / Revised: 30 November 2019 / Accepted: 26 February 2020
DOI: https://doi.org/10.1051/m2an/2020014
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Analysis of an hybridizable discontinuous Galerkin scheme for the tangential control of the Stokes system

Received: 24 August 2019 / Revised: 29 January 2020 / Accepted: 03 March 2020
DOI: https://doi.org/10.1051/m2an/2020015
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High-order Galerkin method for Helmholtz and Laplace problems on multiple open arcs

Received: 23 July 2019 / Revised: 14 February 2020 / Accepted: 11 March 2020
DOI: https://doi.org/10.1051/m2an/2020017
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Numerical algorithm for the model describing anomalous diffusion in expanding media

Received: 12 October 2019 / Revised: 29 January 2020 / Accepted: 11 March 2020
DOI: https://doi.org/10.1051/m2an/2020018
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Mathematical modelling of Acoustic Radiation Force in transient shear wave elastography in the heart

Received: 05 April 2019 / Revised: 20 December 2019 / Accepted: 17 March 2020
DOI: https://doi.org/10.1051/m2an/2020019
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Locality of interatomic forces in tight binding models for insulators

Received: 17 August 2019 / Revised: 07 February 2020 / Accepted: 24 March 2020
DOI: https://doi.org/10.1051/m2an/2020020
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On a class of splines free of Gibbs phenomenon

Received: 08 April 2019 / Revised: 08 February 2020 / Accepted: 28 March 2020
DOI: https://doi.org/10.1051/m2an/2020021
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Numerical approximations for a fully fractional Allen-Cahn equation

Received: 29 March 2019 / Revised: 27 February 2020 / Accepted: 30 March 2020
DOI: https://doi.org/10.1051/m2an/2020022