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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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On quasi-reversibility solutions to the Cauchy problem for the Laplace equation: regularity and error estimates

Laurent Bourgeois and Lucas Chesnel
ESAIM: M2AN, Forthcoming article
Received: 20 June 2019 / Revised: 14 October 2019 / Accepted: 15 October 2019
DOI: https://doi.org/10.1051/m2an/2019073

A Nitsche-based formulation for fluid-structure interactions with contact

Stefan Frei, Erik Burman and Miguel A. Fernández
ESAIM: M2AN, Forthcoming article
Received: 21 February 2019 / Revised: 25 July 2019 / Accepted: 14 October 2019
DOI: https://doi.org/10.1051/m2an/2019072

A minimum entropy principle in the compressible multicomponent Euler equations

Ayoub Gouasmi, Karthik Duraisamy, Scott Murman and Eitan Tadmor
ESAIM: M2AN, Forthcoming article
Received: 20 June 2019 / Revised: 28 August 2019 / Accepted: 19 September 2019
DOI: https://doi.org/10.1051/m2an/2019070

Up-wind difference approximation and singularity formation for a slow erosion model

Giuseppe Maria Coclite, Francesco Gargano and Vincenzo Sciacca
ESAIM: M2AN, Forthcoming article
Received: 30 July 2018 / Revised: 04 September 2019 / Accepted: 10 September 2019
DOI: https://doi.org/10.1051/m2an/2019068

Continuum limit of the nonlocal $p$-Laplacian evolution problem on random inhomogeneous graphs

Yosra Hafiene, Jalal Fadili, Christophe Chesneau and Abder Elmoataz
ESAIM: M2AN, Forthcoming article
Received: 26 April 2019 / Revised: 21 August 2019 / Accepted: 31 August 2019
DOI: https://doi.org/10.1051/m2an/2019066

Numerical approximation and fast evaluation of the overdamped generalized Langevin equation with fractional noise

Di Fang and Lei Li
ESAIM: M2AN, Forthcoming article
Received: 10 January 2019 / Revised: 15 July 2019 / Accepted: 31 August 2019
DOI: https://doi.org/10.1051/m2an/2019067

Non-linear analysis of a model for yeast cell communication

Vincent Calvez, Thomas Lepoutre, Nicolas Meunier and Nicolas Muller
ESAIM: M2AN, Forthcoming article
Received: 10 April 2019 / Revised: 12 August 2019 / Accepted: 29 August 2019
DOI: https://doi.org/10.1051/m2an/2019065

Conservative discontinuous finite volume and mixed schemes for a new four-field formulation in poroelasticity

Sarvesh Kumar, Ricardo Oyarzua, Ricardo Ruiz Baier and Ruchi Sandilya
ESAIM: M2AN, Forthcoming article
Received: 01 November 2018 / Revised: 01 August 2019 / Accepted: 29 August 2019
DOI: https://doi.org/10.1051/m2an/2019063

A new methodology to create valid time-dependent correlation matrices via isospectral flows

Long Teng, Xueran Wu, Michael Günther and Matthias Ehrhardt
ESAIM: M2AN, Forthcoming article
Received: 29 January 2019 / Revised: 01 August 2019 / Accepted: 29 August 2019
DOI: https://doi.org/10.1051/m2an/2019064

Well–posedness of a non-local model for material flow on conveyor belts

Elena Rossi, Jennifer Kötz, Paola Goatin and Simone Göttlich
ESAIM: M2AN, Forthcoming article
Received: 20 February 2019 / Revised: 09 July 2019 / Accepted: 26 August 2019
DOI: https://doi.org/10.1051/m2an/2019062

Long-time behavior of numerical solutions to nonlinear fractional ODEs

Dongling Wang, Aiguo Xiao and Jun Zou
ESAIM: M2AN, Forthcoming article
Received: 08 July 2018 / Revised: 24 July 2019 / Accepted: 24 August 2019
DOI: https://doi.org/10.1051/m2an/2019055

A variational formulation for computing shape derivatives of geometric constraints along rays

Florian Feppon, Grégoire Allaire and charles dapogny
ESAIM: M2AN, Forthcoming article
Received: 24 September 2018 / Revised: 13 July 2019 / Accepted: 24 August 2019
DOI: https://doi.org/10.1051/m2an/2019056

Nonlocal gradient operators with a nonspherical interaction neighborhood and their applications

Hwi Lee and Qiang Du
ESAIM: M2AN, Forthcoming article
Received: 10 March 2019 / Revised: 21 August 2019 / Accepted: 22 August 2019
DOI: https://doi.org/10.1051/m2an/2019053

Periodic solutions of a hysteresis model for breathing

Michela Eleuteri, Erica Ipocoana, Jana Kopfova and Pavel Krejci
ESAIM: M2AN, Forthcoming article
Received: 01 February 2019 / Revised: 15 July 2019 / Accepted: 21 August 2019
DOI: https://doi.org/10.1051/m2an/2019060

A nonlinear Stokes-Biot model for the interaction of a non-Newtonian fluid with poroelastic media

Ilona Ambartsumyan, Vincent J. Ervin, Truong Nguyen and Ivan Yotov
ESAIM: M2AN, Forthcoming article
Received: 03 February 2019 / Revised: 05 July 2019 / Accepted: 06 August 2019
DOI: https://doi.org/10.1051/m2an/2019061

Finite element approximation of an obstacle problem for a class of integro--differential operators

Andrea Bonito, Wenyu Lei and Abner Salgado
ESAIM: M2AN, Forthcoming article
Received: 04 August 2018 / Accepted: 01 August 2019
DOI: https://doi.org/10.1051/m2an/2019058

Domain decomposition and multiscale mortar mixed finite element methods for linear elasticity with weak stress symmetry

Eldar Khattatov and Ivan Yotov
ESAIM: M2AN, Forthcoming article
Received: 28 May 2018 / Revised: 23 May 2019 / Accepted: 01 August 2019
DOI: https://doi.org/10.1051/m2an/2019057

Existence of strong solutions to a fluid-structure system with a structure given by a finite number of parameters

Guillaume Delay
ESAIM: M2AN, Forthcoming article
Received: 04 December 2018 / Revised: 17 July 2019 / Accepted: 01 August 2019
DOI: https://doi.org/10.1051/m2an/2019059

Convergence analysis of a LDG method for tempered fractional convection-diffusion equations

Mehdi Ahmadinia and Zeinab Safari
ESAIM: M2AN, Forthcoming article
Received: 13 March 2019 / Revised: 02 July 2019 / Accepted: 17 July 2019
DOI: https://doi.org/10.1051/m2an/2019052

Exponentially convergent non overlapping domain decomposition methods for the Helmholtz equation

Francis Collino, Patrick Joly and Matthieu Lecouvez
ESAIM: M2AN, Forthcoming article
Received: 22 December 2018 / Revised: 15 May 2019 / Accepted: 30 June 2019
DOI: https://doi.org/10.1051/m2an/2019050

Error estimates for a partially penalized immersed finite element method for elasticity interface problems

Ruchi Guo, Tao Lin and Yanping Lin
ESAIM: M2AN, Forthcoming article
Received: 29 November 2018 / Revised: 27 May 2019 / Accepted: 28 June 2019
DOI: https://doi.org/10.1051/m2an/2019051

A posteriori error estimates for Darcy's problem coupled with the heat equation

Séréna Dib, Vivette Girault, Frédéric Hecht and Toni Sayah
ESAIM: M2AN, Forthcoming article
Received: 14 December 2018 / Revised: 04 June 2019 / Accepted: 27 June 2019
DOI: https://doi.org/10.1051/m2an/2019049

A mixed $\ell_1$ regularization approach for sparse simultaneous approximation of parameterized PDEs

Clayton Webster, Hoang Tran and Nick Dexter
ESAIM: M2AN, Forthcoming article
Received: 15 December 2018 / Revised: 10 May 2019 / Accepted: 27 June 2019
DOI: https://doi.org/10.1051/m2an/2019048

Multilevel weighted least squares polynomial approximation

Abdul-Lateef Haji-Ali, Fabio Nobile, Sören Wolfers and Raúl Tempone
ESAIM: M2AN, Forthcoming article
Received: 04 October 2017 / Revised: 28 January 2019 / Accepted: 21 June 2019
DOI: https://doi.org/10.1051/m2an/2019045

Time-optimality by distance-optimality for parabolic control systems

Lucas Bonifacius and Karl Kunisch
ESAIM: M2AN, Forthcoming article
Received: 06 September 2018 / Revised: 12 April 2019 / Accepted: 21 June 2019
DOI: https://doi.org/10.1051/m2an/2019046

Numerical approximation of the 3d hydrostatic Navier-Stokes system with free surface.

Jacques Sainte-Marie, Sebastien Allgeyer, Marie-Odile Bristeau, David Froger, Raouf Hamouda, Anne Mangeney, Fabien Souillé and Martin Vallée
ESAIM: M2AN, Forthcoming article
Received: 23 October 2018 / Revised: 11 June 2019 / Accepted: 20 June 2019
DOI: https://doi.org/10.1051/m2an/2019044

stable decompositions of hp-BEM spaces and an optimal Schwarz preconditioner for the hypersingular integral operator in 3D

Michael Karkulik, Jens Markus Melenk and Alexander Rieder
ESAIM: M2AN, Forthcoming article
Received: 27 November 2018 / Revised: 30 April 2019 / Accepted: 11 June 2019
DOI: https://doi.org/10.1051/m2an/2019041

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

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 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

Projector augmented-wave method: an analysis in a one-dimensional setting

Mi-Song Dupuy
ESAIM: M2AN, Forthcoming article
Received: 13 December 2017 / Revised: 25 January 2019 / Accepted: 18 February 2019
DOI: https://doi.org/10.1051/m2an/2019017