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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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Open Access

An embedded discontinuous Galerkin method for the Oseen equations

Yongbin Han and Yanren Hou
ESAIM: M2AN, Forthcoming article
Received: 21 April 2021 / Revised: 19 August 2021 / Accepted: 20 September 2021
DOI: https://doi.org/10.1051/m2an/2021059
Open Access

Fully-discrete finite element numerical scheme with decoupling structure and energy stability for the Cahn-Hilliard phase-field model of two-phase incompressible flow system with variable density and viscosity

chuanjun chen and Xiaofeng Yang
ESAIM: M2AN, Forthcoming article
Received: 17 February 2021 / Revised: 01 September 2021 / Accepted: 02 September 2021
DOI: https://doi.org/10.1051/m2an/2021056
Open Access

Existence of solutions and continuous and semi-discrete stability estimates for 3D/0D coupled systems modelling airflows and blood flows

Céline Grandmont and Sébastien Martin
ESAIM: M2AN, Forthcoming article
Received: 08 January 2021 / Revised: 31 August 2021 / Accepted: 01 September 2021
DOI: https://doi.org/10.1051/m2an/2021055
Open Access

Local L2-bounded commuting projections in FEEC

Douglas Arnold and Johnny Guzmán
ESAIM: M2AN, Forthcoming article
Received: 26 April 2021 / Revised: 17 August 2021 / Accepted: 31 August 2021
DOI: https://doi.org/10.1051/m2an/2021054
Open Access

Fast solver for quasi-periodic 2D-Helmholtz scattering in layered media

José Pinto, Rubén Aylwin and Carlos Jerez-Hanckes
ESAIM: M2AN, Forthcoming article
Received: 30 September 2020 / Revised: 14 June 2021 / Accepted: 30 August 2021
DOI: https://doi.org/10.1051/m2an/2021053
Open Access

A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels

Gerardo Hernandez-Duenas and Jorge Balbás
ESAIM: M2AN, Forthcoming article
Received: 15 July 2020 / Revised: 20 August 2021 / Accepted: 24 August 2021
DOI: https://doi.org/10.1051/m2an/2021052
Open Access

Nontensorial generalised Hermite spectral methods for PDEs with fractional Laplacian and Schrodinger operators

Changtao Sheng, Suna Ma, Huiyuan Li, Li-Lian Wang and Lueling Jia
ESAIM: M2AN, Forthcoming article
Received: 23 December 2020 / Accepted: 20 August 2021
DOI: https://doi.org/10.1051/m2an/2021049
Open Access

A Hybrid High-Order method for creeping flows of non-Newtonian fluids

Michele Botti, Daniel Castanon Quiroz, Daniele Di Pietro and André Harnist
ESAIM: M2AN, Forthcoming article
Received: 05 November 2020 / Revised: 05 May 2021 / Accepted: 20 August 2021
DOI: https://doi.org/10.1051/m2an/2021051
Open Access

SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis

Lourenco Beirao da Veiga, Franco Dassi, Carlo Lovadina and Giuseppe Vacca
ESAIM: M2AN, Forthcoming article
Received: 02 December 2020 / Revised: 11 July 2021 / Accepted: 20 August 2021
DOI: https://doi.org/10.1051/m2an/2021050
Open Access

Upstream mobility Finite Volumes for the Richards equation in heterogenous domains

Guillaume Enchéry, Sabrina Bassetto, Clément Cancès and Quang-Huy Tran
ESAIM: M2AN, Forthcoming article
Received: 15 January 2021 / Revised: 22 July 2021 / Accepted: 18 August 2021
DOI: https://doi.org/10.1051/m2an/2021047
Open Access

Numerical discretization and fast approximation of a variably distributed-order fractional wave equation

Jinhong Jia, Xiangcheng Zheng and Hong Wang
ESAIM: M2AN, Forthcoming article
Received: 03 March 2021 / Revised: 18 July 2021 / Accepted: 17 August 2021
DOI: https://doi.org/10.1051/m2an/2021045
Open Access

An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem

Bowen Li and Jun Zou
ESAIM: M2AN, Forthcoming article
Received: 08 August 2020 / Revised: 10 May 2021 / Accepted: 17 August 2021
DOI: https://doi.org/10.1051/m2an/2021046
Open Access

Finite element approximation of steady flows of colloidal solutions

Andrea Bonito, Vivette Girault, Diane Guignard, Kumbakonam R. Rajagopal and Endre Süli
ESAIM: M2AN, Forthcoming article
Received: 16 February 2021 / Revised: 28 June 2021 / Accepted: 03 August 2021
DOI: https://doi.org/10.1051/m2an/2021043
Open Access

A posteriori error estimates for semilinear optimal control problems

Alejandro Allendes, Francisco Fuica, Enrique Otarola and Daniel Quero
ESAIM: M2AN, Forthcoming article
Received: 29 July 2020 / Revised: 04 May 2021 / Accepted: 08 July 2021
DOI: https://doi.org/10.1051/m2an/2021033
Open Access

Local finite element approximation of Sobolev differential forms

Evan Gawlik, Michael Holst and Martin Werner Licht
ESAIM: M2AN, Forthcoming article
Received: 29 October 2020 / Revised: 26 June 2021 / Accepted: 08 July 2021
DOI: https://doi.org/10.1051/m2an/2021034