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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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Derivation and analysis of coupled PDEs on manifolds with high dimensionality gap arising from topological model reduction

Federica Laurino and Paolo Zunino
ESAIM: M2AN, Forthcoming article
Received: 14 November 2018 / Revised: 12 April 2019 / Accepted: 11 June 2019
DOI: https://doi.org/10.1051/m2an/2019042

Convergence of a finite volume scheme for the compressible Navier--Stokes system

Eduard Feireisl, Maria Lukacova-Medvidova, Hana Mizerova and Bangwei She
ESAIM: M2AN, Forthcoming article
Received: 05 November 2018 / Revised: 26 May 2019 / Accepted: 11 June 2019
DOI: https://doi.org/10.1051/m2an/2019043

Discrete duality finite volume method with tangential redistribution of points for surfaces evolving by mean curvature

Lukas Tomek and Karol Mikula
ESAIM: M2AN, Forthcoming article
Received: 11 October 2018 / Revised: 07 April 2019 / Accepted: 06 June 2019
DOI: https://doi.org/10.1051/m2an/2019040

Adaptive Uzawa algorithm for the Stokes equation

Giovanni Di Fratta, Thomas Führer, Gregor Gantner and Dirk Praetorius
ESAIM: M2AN, Forthcoming article
Received: 20 December 2018 / Revised: 01 May 2019 / Accepted: 24 May 2019
DOI: https://doi.org/10.1051/m2an/2019039

New volume consistent approximation for binary breakage population balance equation and its convergence analysis

Mehakpreet Singh, Themis Matsoukas, Ahmad B. Albadarin and Gavin Walker
ESAIM: M2AN, Forthcoming article
Received: 20 November 2018 / Revised: 30 April 2019 / Accepted: 07 May 2019
DOI: https://doi.org/10.1051/m2an/2019036

Energy-corrected FEM and explicit time-stepping for parabolic problems

Piotr Swierczynski and Barbara Wohlmuth
ESAIM: M2AN, Forthcoming article
Received: 03 March 2019 / Revised: 27 April 2019 / Accepted: 06 May 2019
DOI: https://doi.org/10.1051/m2an/2019038

Stability of numerical methods under the regime-switching jump-diffusion model with variable coefficients

Sunju Lee and Younhee Lee
ESAIM: M2AN, Forthcoming article
Received: 02 July 2018 / Revised: 18 March 2019 / Accepted: 02 May 2019
DOI: https://doi.org/10.1051/m2an/2019035

Coupling non-conforming discretizations of PDEs by spectral approximation of the Lagrange multiplier space

Simone Deparis, Antonio Iubatti and Luca Pegolotti
ESAIM: M2AN, Forthcoming article
Received: 06 March 2018 / Revised: 24 November 2018 / Accepted: 25 April 2019
DOI: https://doi.org/10.1051/m2an/2019030

A dynamic multilayer shallow water model for polydisperse sedimentation.

Raimund Bürger, Enrique D. Fernández-Nieto and Víctor Andrés Osores
ESAIM: M2AN, Forthcoming article
Received: 26 March 2018 / Revised: 25 January 2019 / Accepted: 25 April 2019
DOI: https://doi.org/10.1051/m2an/2019032

A relaxation scheme for a hyperbolic multiphase flow model. Part I: Barotropic EOS

Khaled Saleh
ESAIM: M2AN, Forthcoming article
Received: 10 April 2018 / Revised: 28 February 2019 / Accepted: 25 April 2019
DOI: https://doi.org/10.1051/m2an/2019034

Quasi-optimality of an adaptive finite element method for cathodic protection

Guanglian Li and Yifeng Xu
ESAIM: M2AN, Forthcoming article
Received: 16 March 2018 / Revised: 13 January 2019 / Accepted: 25 April 2019
DOI: https://doi.org/10.1051/m2an/2019031

Convergence of exponential Lawson-multistep methods for the MCTDHF equations

Othmar Koch
ESAIM: M2AN, Forthcoming article
Received: 30 March 2018 / Revised: 22 December 2018 / Accepted: 25 April 2019
DOI: https://doi.org/10.1051/m2an/2019033

On Euler preconditioned SHSS iterative method for a class of complex symmetric linear systems

Chengliang Li and Changfeng Ma
ESAIM: M2AN, Forthcoming article
Received: 29 October 2017 / Revised: 19 February 2019 / Accepted: 25 April 2019
DOI: https://doi.org/10.1051/m2an/2019029

A three phase flow model with two miscible phases

Jean-Marc Hérard and Hélène Mathis
ESAIM: M2AN, Forthcoming article
Received: 12 January 2019 / Revised: 06 April 2019 / Accepted: 21 April 2019
DOI: https://doi.org/10.1051/m2an/2019028

Splitting method for elliptic equations with line sources

Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten and Barbara Wohlmuth
ESAIM: M2AN, Forthcoming article
Received: 25 October 2018 / Revised: 14 March 2019 / Accepted: 18 April 2019
DOI: https://doi.org/10.1051/m2an/2019027

Error analysis of PML-FEM approximations for the Helmholtz equation in waveguides

Seungil Kim
ESAIM: M2AN, Forthcoming article
Received: 25 June 2018 / Revised: 08 February 2019 / Accepted: 27 March 2019
DOI: https://doi.org/10.1051/m2an/2019026

Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications

Nicolas Van Goethem and Maro Caroccia
ESAIM: M2AN, Forthcoming article
Received: 25 July 2018 / Revised: 07 March 2019 / Accepted: 16 March 2019
DOI: https://doi.org/10.1051/m2an/2019024

Analysis of the error in an iterative algorithm for asymptotic regulation of linear distributed parameter control systems

David Sexton Gilliam, Eugenio Aulisa and Thanuka Pathiranage
ESAIM: M2AN, Forthcoming article
Received: 11 December 2017 / Revised: 08 February 2019 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019021

Variational method for a backward problem for a time-fractional diffusion equation

Ting Wei and Jun Xian
ESAIM: M2AN, Forthcoming article
Received: 18 May 2017 / Revised: 06 January 2019 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019019

Finite element method with local damage of the mesh

Michel Duprez, Vanessa Lleras and Alexei Lozinski
ESAIM: M2AN, Forthcoming article
Received: 13 August 2018 / Revised: 04 February 2019 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019023

Raviart-Thomas finite elements of Petrov-Galerkin type

François Dubois, Isabelle Greff and Charles Pierre
ESAIM: M2AN, Forthcoming article
Received: 19 October 2017 / Revised: 08 February 2019 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019020

A local discontinuous Galerkin gradient discretization method for linear and quasilinear elliptic equations

Assyr Abdulle and Giacomo Rosilho de Souza
ESAIM: M2AN, Forthcoming article
Received: 27 July 2018 / Revised: 17 December 2018 / Accepted: 13 March 2019
DOI: https://doi.org/10.1051/m2an/2019022

On a class of derivative Nonlinear Schrödinger-type equations in two spatial dimensions

Jack Arbunich, Christian Klein and Christof Sparber
ESAIM: M2AN, Forthcoming article
Received: 02 June 2018 / Revised: 20 December 2018 / Accepted: 08 March 2019
DOI: https://doi.org/10.1051/m2an/2019018

Superconvergence points of integer and fractional derivatives of special Hermite interpolations and its applications in solving FDEs

Beichuan Deng, Jiwei Zhang and Zhimin Zhang
ESAIM: M2AN, Forthcoming article
Received: 18 July 2018 / Revised: 03 February 2019 / Accepted: 21 February 2019
DOI: https://doi.org/10.1051/m2an/2019012

Analysis of the 3D non-linear Stokes problem coupled to transport-diffusion for shear-thinning heterogeneous microscale flows, applications to digital rock physics and mucociliary clearance

David Sanchez, Laurène Hume, Robin Chatelin and Philippe Poncet
ESAIM: M2AN, Forthcoming article
Received: 19 July 2018 / Revised: 26 January 2019 / Accepted: 21 February 2019
DOI: https://doi.org/10.1051/m2an/2019013

A saturation property for the spectral-Galerkin approximation of a Dirichlet problem in a square

Claudio Canuto, Ricardo H. Nochetto, Rob P. Stevenson and Marco Verani
ESAIM: M2AN, Forthcoming article
Received: 20 December 2017 / Revised: 14 December 2018 / Accepted: 18 February 2019
DOI: https://doi.org/10.1051/m2an/2019015

Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients

Lukas Herrmann and Christoph Schwab
ESAIM: M2AN, Forthcoming article
Received: 30 April 2017 / Revised: 30 October 2018 / Accepted: 18 February 2019
DOI: https://doi.org/10.1051/m2an/2019016

Combined face based and nodal based discretizations on hybrid meshes for non-isothermal two-phase Darcy flow problems

Laurence Beaude, Roland Masson, Simon Lopez and Pierre Samier
ESAIM: M2AN, Forthcoming article
Received: 26 June 2018 / Revised: 15 January 2019 / Accepted: 18 February 2019
DOI: https://doi.org/10.1051/m2an/2019014

Entropy stable essentially nonoscillatory methods based on RBF reconstruction

Fabian Mönkeberg and Jan S Hesthaven
ESAIM: M2AN, Forthcoming article
Received: 13 August 2018 / Revised: 11 January 2019 / Accepted: 11 February 2019
DOI: https://doi.org/10.1051/m2an/2019011

Evolution of cancer cell populations under cytotoxic therapy and treatment optimisation: insight from a phenotype-structured model

Luís Almeida, Patrizia Bagnerini, Giulia Fabrini, Barry D. Hughes and Tommaso Lorenzi
ESAIM: M2AN, Forthcoming article
Received: 03 August 2018 / Revised: 24 January 2019 / Accepted: 30 January 2019
DOI: https://doi.org/10.1051/m2an/2019010

Inverse problem for the Helmholtz equation with Cauchy data: reconstruction with conditional well-posedness driven iterative regularization

Florian Faucher, Giovanni Alessandrini, Maarten V. de Hoop, Romina Gaburro and Eva Sincich
ESAIM: M2AN, Forthcoming article
Received: 11 May 2018 / Revised: 20 November 2018 / Accepted: 30 January 2019
DOI: https://doi.org/10.1051/m2an/2019009

Algebraic flux correction schemes preserving the eigenvalue range of symmetric tensor fields

Christoph Lohmann
ESAIM: M2AN, Forthcoming article
Received: 11 April 2018 / Revised: 21 November 2018 / Accepted: 26 January 2019
DOI: https://doi.org/10.1051/m2an/2019006

Penalty method with Crouzeix--Raviart approximation for the Stokes equations under slip boundary condition

Takahito Kashiwabara, Issei Oikawa and Guanyu Zhou
ESAIM: M2AN, Forthcoming article
Received: 25 September 2018 / Accepted: 26 January 2019
DOI: https://doi.org/10.1051/m2an/2019008

Asymptotic analysis of the RS-IMEX scheme for the shallow water equations in one space dimension

Hamed Zakerzadeh
ESAIM: M2AN, Forthcoming article
Received: 16 March 2017 / Revised: 17 December 2018 / Accepted: 26 January 2019
DOI: https://doi.org/10.1051/m2an/2019005

Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications

Hongyu Liu, Hongjie Li, Shanqiang Li and Xianchao Wang
ESAIM: M2AN, Forthcoming article
Received: 28 October 2018 / Revised: 17 December 2018 / Accepted: 24 January 2019
DOI: https://doi.org/10.1051/m2an/2019004

A positivity-preserving central-upwind scheme for isentropic two-phase flows through deviated pipes

Gerardo Hernandez-Duenas, Ulises Velasco-García and Jorge X Velasco-Hernández
ESAIM: M2AN, Forthcoming article
Received: 08 June 2018 / Revised: 17 December 2018 / Accepted: 11 January 2019
DOI: https://doi.org/10.1051/m2an/2019003

Relaxation and simulation of a barotropic three-phase flow model

Jean-Marc Hérard and Hamza Boukili
ESAIM: M2AN, Forthcoming article
Received: 20 March 2018 / Revised: 05 December 2018 / Accepted: 28 December 2018
DOI: https://doi.org/10.1051/m2an/2019001

Path-Conservative Central-Upwind Schemes for Nonconservative Hyperbolic Systems

Manuel Jesus Castro Diaz, Alexander Kurganov and Tomas Morales de Luna
ESAIM: M2AN, Forthcoming article
Received: 10 April 2018 / Revised: 06 December 2018 / Accepted: 20 December 2018
DOI: https://doi.org/10.1051/m2an/2018077

convergence of a homotopy finite element method for computing steady states of Burgers' equation

Yong Yang and Wenrui Hao
ESAIM: M2AN, Forthcoming article
Received: 07 July 2017 / Revised: 20 June 2018 / Accepted: 17 July 2018
DOI: https://doi.org/10.1051/m2an/2018046