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Forthcoming articles

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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Optimized Schwarz Methods for the coupling of cylindrical geometries along the axial direction

Giacomo Gigante and Christian Vergara
ESAIM: M2AN, Forthcoming article
Received: 28 February 2017 / Revised: 15 December 2017 / Accepted: 25 May 2018
DOI: https://doi.org/10.1051/m2an/2018039

Optimally convergent hybridizable discontinuous Galerkin method for fifth-order Korteweg-de Vries type equations

Bo Dong, Yanlai Chen and Jiahua Jiang
ESAIM: M2AN, Forthcoming article
Received: 06 November 2017 / Revised: 06 April 2018 / Accepted: 25 May 2018
DOI: https://doi.org/10.1051/m2an/2018037

Stability estimates for systems with small cross-diffusion

Luca Alasio, Maria Bruna and Yves Capdeboscq
ESAIM: M2AN, Forthcoming article
Received: 19 January 2018 / Revised: 13 May 2018 / Accepted: 24 May 2018
DOI: https://doi.org/10.1051/m2an/2018036

A $C^0$-Nonconforming Quadrilateral Finite Element for the Fourth Order Elliptic Singular Perturbation Problem

Yuan Bao, Zhaoliang Meng and Zhongxuan Luo
ESAIM: M2AN, Forthcoming article
Received: 09 October 2017 / Revised: 06 May 2018 / Accepted: 15 May 2018
DOI: https://doi.org/10.1051/m2an/2018033

Convergence of a Semi-Discrete Numerical Method for a Class of Nonlocal Nonlinear Wave Equations

Husnu Ata Erbay, Saadet Erbay and Albert Erkip
ESAIM: M2AN, Forthcoming article
Received: 03 October 2017 / Revised: 20 March 2018 / Accepted: 09 May 2018
DOI: https://doi.org/10.1051/m2an/2018035

Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients

Patrick Ciarlet, Jr. and Martin Vohralik
ESAIM: M2AN, Forthcoming article
Received: 09 October 2017 / Revised: 30 March 2018 / Accepted: 09 May 2018
DOI: https://doi.org/10.1051/m2an/2018034

Modeling of a diffusion with aggregation: rigorous derivation and numerical simulation

Simone Goettlich, Li Chen and Stephan Knapp
ESAIM: M2AN, Forthcoming article
Received: 26 January 2018 / Revised: 27 April 2018 / Accepted: 01 May 2018
DOI: https://doi.org/10.1051/m2an/2018028

Error analysis of a FVEM for fractional order evolution equations with nonsmooth initial data

Amiya Kumar Pani and Samir Karaa
ESAIM: M2AN, Forthcoming article
Received: 01 November 2017 / Revised: 26 February 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018029

Congested shallow water model: Roof modeling in free surface flow

Fabien Wahl, Edwige Godlewski, Jacques Sainte-Marie and Martin Parisot
ESAIM: M2AN, Forthcoming article
Received: 12 July 2017 / Revised: 27 February 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018032

High frequency behaviour of corner singularities in Helmholtz problems

Théophile Chaumont-Frelet and Serge Nicaise
ESAIM: M2AN, Forthcoming article
Received: 23 February 2017 / Revised: 27 January 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018031

Fully discrete finite element data assimilation method for the heat equation

Erik Burman, Lauri Oksanen and Jonathan Ish-Horowicz
ESAIM: M2AN, Forthcoming article
Received: 15 August 2017 / Revised: 07 February 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018030

Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations

Sergio Caucao, Gabriel Gatica and Ricardo Oyarzua
ESAIM: M2AN, Forthcoming article
Received: 21 September 2017 / Revised: 27 March 2018 / Accepted: 30 April 2018
DOI: https://doi.org/10.1051/m2an/2018027

A multiscale method for semi-linear elliptic equations with localized uncertainties and non-linearities

Anthony Nouy and Florent Pled
ESAIM: M2AN, Forthcoming article
Received: 13 February 2017 / Revised: 11 January 2018 / Accepted: 16 April 2018
DOI: https://doi.org/10.1051/m2an/2018025

Outgoing wave conditions in photonic crystals and transmission properties at interfaces

Agnes Lamacz and Ben Schweizer
ESAIM: M2AN, Forthcoming article
Received: 19 December 2016 / Revised: 25 January 2018 / Accepted: 16 April 2018
DOI: https://doi.org/10.1051/m2an/2018026

Uniform regularity in the random space and spectral accuracy of the stochastic Galerkin method for a kinetic-fluid two-phase flow model with random initial inputs in the light particle regime

Shi Jin and Ruiwen Shu
ESAIM: M2AN, Forthcoming article
Received: 22 July 2017 / Revised: 12 February 2018 / Accepted: 16 April 2018
DOI: https://doi.org/10.1051/m2an/2018024

Error estimates for the numerical approximation of a distributed optimal control problem governed by the von Kármán equations

Neela Nataraj, J. -P Raymond and Gouranga Mallik
ESAIM: M2AN, Forthcoming article
Received: 21 February 2017 / Revised: 09 February 2018 / Accepted: 03 April 2018
DOI: https://doi.org/10.1051/m2an/2018023

Tensor-based multiscale method for diffusion problems in quasi-periodic heterogeneous media

Quentin Ayoul-Guilmard, Anthony Nouy and Christophe Binetruy
ESAIM: M2AN, Forthcoming article
Received: 23 October 2017 / Revised: 08 March 2018 / Accepted: 27 March 2018
DOI: https://doi.org/10.1051/m2an/2018022

Density and trace results in generalized fractal networks

Serge Nicaise and Adrien Semin
ESAIM: M2AN, Forthcoming article
Received: 12 September 2017 / Revised: 06 March 2018 / Accepted: 16 March 2018
DOI: https://doi.org/10.1051/m2an/2018021

Error estimates of the third order Runge-Kutta alternating evolution discontinuous Galerkin method for convection-diffusion problems

Hailiang Liu and Hairui Wen
ESAIM: M2AN, Forthcoming article
Received: 13 September 2017 / Revised: 23 January 2018 / Accepted: 12 March 2018
DOI: https://doi.org/10.1051/m2an/2018020

Multiple Traces Formulation and Semi-Implicit Scheme for Modelling Biological Cells under Electrical Stimulation

Fernando Henríquez and Carlos Jerez-Hanckes
ESAIM: M2AN, Forthcoming article
Received: 10 May 2017 / Revised: 26 December 2017 / Accepted: 09 March 2018
DOI: https://doi.org/10.1051/m2an/2018019

Error analysis of a finite element approximation of a degenerate Cahn-Hilliard equation

Abramo Agosti
ESAIM: M2AN, Forthcoming article
Received: 02 March 2017 / Revised: 23 January 2018 / Accepted: 09 March 2018
DOI: https://doi.org/10.1051/m2an/2018018

A uniformly accurate (UA) multiscale time integrator pseudospectral method for the nonlinear Dirac equation in the nonrelativistic limit regime

Yongyong Cai and Yan Wang
ESAIM: M2AN, Forthcoming article
Received: 03 July 2017 / Revised: 06 February 2018 / Accepted: 22 February 2018
DOI: https://doi.org/10.1051/m2an/2018015

Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods

María J. Cáceres and Ricarda Schneider
ESAIM: M2AN, Forthcoming article
Received: 09 June 2017 / Revised: 08 February 2018 / Accepted: 13 February 2018
DOI: https://doi.org/10.1051/m2an/2018014

Generalized wave propagation problems and discrete exterior calculus

Jukka Räbinä, Lauri Kettunen, Sanna Mönkölä and Tuomo Rossi
ESAIM: M2AN, Forthcoming article
Received: 04 April 2017 / Revised: 13 October 2017 / Accepted: 09 February 2018
DOI: https://doi.org/10.1051/m2an/2018017

Quadratic Convergence of Levenberg-Marquardt Method for Elliptic and Parabolic Inverse Robin Problems

Jun Zou, Daijun Jiang and Hui Feng
ESAIM: M2AN, Forthcoming article
Received: 30 September 2016 / Revised: 22 December 2017 / Accepted: 09 February 2018
DOI: https://doi.org/10.1051/m2an/2018016

Reconstruction of isotropic conductivities from non smooth electric fields

Marc Briane
ESAIM: M2AN, Forthcoming article
Received: 18 June 2017 / Revised: 30 November 2017 / Accepted: 09 February 2018
DOI: https://doi.org/10.1051/m2an/2018013

Sparse Quadrature for High-Dimensional Integration with Gaussian Measure

Peng Chen
ESAIM: M2AN, Forthcoming article
Received: 20 June 2017 / Revised: 05 December 2017 / Accepted: 08 February 2018
DOI: https://doi.org/10.1051/m2an/2018012

numerical analysis of the mixed finite element method for the neutron diffusion eigenproblem with heterogeneous coefficients

Erell Jamelot, Patrick Ciarlet, Félix Dossou Kpadonou and Léandre Giret
ESAIM: M2AN, Forthcoming article
Received: 07 July 2017 / Revised: 22 January 2018 / Accepted: 25 January 2018
DOI: https://doi.org/10.1051/m2an/2018011

An a posteriori error analysis for an optimal control problem with point sources

Enrique Otarola, Alejandro Allendes, Richard Rankin and Abner J Salgado
ESAIM: M2AN, Forthcoming article
Received: 04 April 2017 / Revised: 17 November 2017 / Accepted: 22 January 2018
DOI: https://doi.org/10.1051/m2an/2018010

A-posteriori snapshot location for POD in optimal control of linear parabolic equations

Alessandro Alla, Carmen Gräßle and Michael Hinze
ESAIM: M2AN, Forthcoming article
Received: 29 August 2016 / Revised: 27 September 2017 / Accepted: 15 January 2018
DOI: https://doi.org/10.1051/m2an/2018009

Goal-oriented error estimation for parameter-dependent nonlinear problems

Alexandre JANON, Maëlle NODET, Christophe PRIEUR and Clémentine PRIEUR
ESAIM: M2AN, Forthcoming article
Received: 12 July 2017 / Revised: 11 December 2017 / Accepted: 12 January 2018
DOI: https://doi.org/10.1051/m2an/2018003

Optimal partial transport problem with Lagrangian costs

Noureddine Igbida and Van Thanh Nguyen
ESAIM: M2AN, Forthcoming article
Received: 16 June 2017 / Revised: 30 November 2017 / Accepted: 07 January 2018
DOI: https://doi.org/10.1051/m2an/2018001

DETERMINING THE DISTRIBUTION OF ION CHANNELS FROM EXPERIMENTAL DATA USING THE MELLIN TRANSFORM

Thibault Bourgeron, Carlos Conca and Rodrigo Lecaros
ESAIM: M2AN, Forthcoming article
Received: 25 October 2016 / Revised: 31 August 2017 / Accepted: 30 November 2017
DOI: https://doi.org/10.1051/m2an/2017062

Well-posed Stokes/Brinkman and Stokes/Darcy coupling revisited with new jump interface conditions

Philippe Angot
ESAIM: M2AN, Forthcoming article
Received: 31 May 2017 / Revised: 14 November 2017 / Accepted: 24 November 2017
DOI: https://doi.org/10.1051/m2an/2017060

Atmospheric radiation boundary conditions for the Helmholtz equation

Hélène Barucq, Juliette Chabassier, Marc Duruflé, Laurent Gizon and Michael Leguèbe
ESAIM: M2AN, Forthcoming article
Received: 14 February 2017 / Revised: 02 August 2017 / Accepted: 24 November 2017
DOI: https://doi.org/10.1051/m2an/2017059

uniform in time error analysis of HDG approximation for Schrödinger equation based on HDG projection

Chunguang Xiong, Xiuling Ma and Fusheng Luo
ESAIM: M2AN, Forthcoming article
Received: 25 March 2016 / Revised: 14 August 2017 / Accepted: 13 November 2017
DOI: https://doi.org/10.1051/m2an/2017058

Cauchy-Born strain energy density for coupled incommensurate elastic chains

Paul Cazeaux and Mitchell Luskin
ESAIM: M2AN, Forthcoming article
Received: 15 March 2016 / Revised: 02 April 2017 / Accepted: 09 November 2017
DOI: https://doi.org/10.1051/m2an/2017057

Entropy-stable space-time DG schemes for non-conservative hyperbolic systems

Andreas Hiltebrand, Siddhartha Mishra and Carlos Parés
ESAIM: M2AN, Forthcoming article
Received: 13 June 2017 / Revised: 28 September 2017 / Accepted: 09 November 2017
DOI: https://doi.org/10.1051/m2an/2017056

Consistent segregated staggered schemes with explicit steps for the isentropic and full Euler equations

Raphaèle Herbin, Jean-Claude Latché and Trung Tan Nguyen
ESAIM: M2AN, Forthcoming article
Received: 29 July 2014 / Revised: 13 December 2016 / Accepted: 08 November 2017
DOI: https://doi.org/10.1051/m2an/2017055

Cross-diffusion systems with non-zero flux and moving boundary conditions.

Virginie Ehrlacher and Athmane Bakhta
ESAIM: M2AN, Forthcoming article
Received: 12 January 2017 / Revised: 30 August 2017 / Accepted: 05 October 2017
DOI: https://doi.org/10.1051/m2an/2017053

On assessing the accuracy of defect free energy computations

Manh Hong Duong, Matthew Dobson and Christoph Ortner
ESAIM: M2AN, Forthcoming article
Received: 03 April 2016 / Revised: 12 September 2017 / Accepted: 28 September 2017
DOI: https://doi.org/10.1051/m2an/2017052

Large time step HLL and HLLC schemes

Marin Prebeg, Tore Flåtten and Bernhard Müller
ESAIM: M2AN, Forthcoming article
Received: 25 March 2017 / Revised: 11 September 2017 / Accepted: 28 September 2017
DOI: https://doi.org/10.1051/m2an/2017051

Convergence analysis of Padé approximations for Helmholtz frequency response problems

Francesca Bonizzoni, Fabio Nobile and Ilaria Perugia
ESAIM: M2AN, Forthcoming article
Received: 15 July 2016 / Revised: 29 August 2017 / Accepted: 28 September 2017
DOI: https://doi.org/10.1051/m2an/2017050

A second order in time incremental pressure correction finite method method for the Navier-Stokes/Darcy problem

Yunxia Wang, Shishun Li and Zhiyong Si
ESAIM: M2AN, Forthcoming article
Received: 25 April 2016 / Revised: 09 July 2017 / Accepted: 25 September 2017
DOI: https://doi.org/10.1051/m2an/2017049

Asymptotic estimates of the convergence of classical Schwarz waveform relaxation domain decomposition methods for two-dimensional stationary quantum waves

Emmanuel Lorin, Xavier Antoine and Fengji Hou
ESAIM: M2AN, Forthcoming article
Received: 30 August 2016 / Revised: 12 April 2017 / Accepted: 25 September 2017
DOI: https://doi.org/10.1051/m2an/2017048

Analysis and optimization of weighted ensemble sampling

David Aristoff
ESAIM: M2AN, Forthcoming article
Received: 14 October 2016 / Revised: 31 July 2017 / Accepted: 11 September 2017
DOI: https://doi.org/10.1051/m2an/2017046

Spectral methods for the Langevin dynamics and associated error estimates

Julien Roussel and Gabriel Stoltz
ESAIM: M2AN, Forthcoming article
Received: 16 February 2017 / Revised: 26 July 2017 / Accepted: 23 August 2017
DOI: https://doi.org/10.1051/m2an/2017044

Virtual element method for the Laplace-Beltrami equation on surfaces

Massimo Frittelli and Ivonne Sgura
ESAIM: M2AN, Forthcoming article
Received: 02 December 2016 / Revised: 31 May 2017 / Accepted: 21 August 2017
DOI: https://doi.org/10.1051/m2an/2017040

A virtual element method for the vibration problem of Kirchhoff plates

David Mora, Gonzalo Rivera and Iván Velásquez
ESAIM: M2AN, Forthcoming article
Received: 13 January 2017 / Revised: 28 April 2017 / Accepted: 21 August 2017
DOI: https://doi.org/10.1051/m2an/2017041

Analysis of a mimetic finite difference approximation of flows in fractured porous media

Anna Scotti, Luca Formaggia and Federica Sottocasa
ESAIM: M2AN, Forthcoming article
Received: 17 November 2016 / Revised: 03 April 2017 / Accepted: 05 May 2017
DOI: https://doi.org/10.1051/m2an/2017028

Mathematical modeling of microtubule dynamic instability: new insight into the link between GTP-hydrolysis and microtubule aging

Ayuna Barlukova, Diana White, Gérard Henry, stéphane Honoré and Florence Hubert
ESAIM: M2AN, Forthcoming article
Received: 17 September 2016 / Revised: 25 January 2017 / Accepted: 26 April 2017
DOI: https://doi.org/10.1051/m2an/2017025

Convergence of a vector penalty projection scheme for the Navier Stokes equations with moving body

Vincent Bruneau, Adrien Doradoux and Pierre Fabrie
ESAIM: M2AN, Forthcoming article
Received: 24 May 2016 / Revised: 26 February 2017 / Accepted: 28 March 2017
DOI: https://doi.org/10.1051/m2an/2017016

Numerical analysis of a nonlinearly stable and positive Control Volume Finite Element scheme for Richards equation with anisotropy

Ahmed Ait Hammou Oulhaj, Clément Cancès and Claire Chainais-Hillairet
ESAIM: M2AN, Forthcoming article
Received: 27 September 2016 / Revised: 07 March 2017 / Accepted: 15 March 2017
DOI: https://doi.org/10.1051/m2an/2017012

Modelling and numerical approximation for the nonconservative bitemperature Euler model

Stéphane Brull, Jérôme Breil, Denise Aregba-Driollet, Bruno Dubroca and Elise Estibals
ESAIM: M2AN, Forthcoming article
Received: 16 August 2015 / Revised: 15 September 2016 / Accepted: 25 February 2017
DOI: https://doi.org/10.1051/m2an/2017007

An adjoint-based method for the numerical approximation of shape optimization problems in presence of fluid-structure interaction

Andrea Manzoni and Luca Ponti
ESAIM: M2AN, Forthcoming article
Received: 31 May 2016 / Revised: 20 February 2017 / Accepted: 24 February 2017
DOI: https://doi.org/10.1051/m2an/2017006

A posteriori modeling error estimates in the optimization of two-scale elastic composite materials

Sergio Conti, Benedict Geihe, Martin Lenz and Martin Rumpf
ESAIM: M2AN, Forthcoming article
Received: 13 November 2015 / Revised: 02 October 2016 / Accepted: 23 January 2017
DOI: https://doi.org/10.1051/m2an/2017004

Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner

Xavier Claeys, Lucas Chesnel and Sergei Nazarov
ESAIM: M2AN, Forthcoming article
Received: 07 March 2016 / Revised: 14 October 2016 / Accepted: 09 December 2016
DOI: https://doi.org/10.1051/m2an/2016080

A numerical solution to Monge's problem with a Finsler distance as cost

Guillaume Carlier, Jean-David Benamou and Roméo Hatchi
ESAIM: M2AN, Forthcoming article
Received: 23 January 2016 / Revised: 02 August 2016 / Revised: 17 June 2016 / Accepted: 05 December 2016
DOI: https://doi.org/10.1051/m2an/2016077

A two-energies principle for the biharmonic equation and an a posteriori error estimator for an interior penalty discontinuous Galerkin approximation

Ronald Hoppe, Dietrich Braess and Christopher Linsenmann
ESAIM: M2AN, Forthcoming article
Received: 30 August 2016 / Revised: 21 November 2016 / Accepted: 23 November 2016
DOI: https://doi.org/10.1051/m2an/2016074