ESAIM: Mathematical Modelling and Numerical Analysis

Open Access

Numerical analysis of a Reynolds Stress Model for turbulent mixing: the one-dimensional case p. 1699

Xavier Blanc, Charles Colavolpe, Roland Duclous, Jérôme Griffond and Olivier Soulard

Published online: 17 September 2021

DOI: https://doi.org/10.1051/m2an/2021035

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Gradient discretization of two-phase poro-mechanical models with discontinuous pressures at matrix fracture interfaces p. 1741

Francesco Bonaldi, Konstantin Brenner, Jérôme Droniou, Roland Masson, Antoine Pasteau and Laurent Trenty

Published online: 17 September 2021

DOI: https://doi.org/10.1051/m2an/2021036

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A type of full multigrid method for non-selfadjoint Steklov eigenvalue problems in inverse scattering p. 1779

Manting Xie, Fei Xu and Meiling Yue

Published online: 17 September 2021

DOI: https://doi.org/10.1051/m2an/2021039

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The model reduction of the Vlasov–Poisson–Fokker–Planck system to the Poisson–Nernst–Planck system via the Deep Neural Network Approach p. 1803

Jae Yong Lee, Jin Woo Jang and Hyung Ju Hwang

Published online: 17 September 2021

DOI: https://doi.org/10.1051/m2an/2021038

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Computation of optimal transport with finite volumes p. 1847

Andrea Natale and Gabriele Todeschi

Published online: 17 September 2021

DOI: https://doi.org/10.1051/m2an/2021041

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Morley finite element method for the von Kármán obstacle problem p. 1873

Carsten Carstensen, Sharat Gaddam, Neela Nataraj, Amiya K. Pani and Devika Shylaja

Published online: 17 September 2021

DOI: https://doi.org/10.1051/m2an/2021042

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Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates p. 1895

Fabio Nobile and Davide Pradovera

Published online: 17 September 2021

DOI: https://doi.org/10.1051/m2an/2021040

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Quasi-optimal adaptive hybridized mixed finite element methods for linear elasticity p. 1921

Yuwen Li

Published online: 22 September 2021

DOI: https://doi.org/10.1051/m2an/2021048

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Error estimate of the non-intrusive reduced basis method with finite volume schemes p. 1941

Elise Grosjean and Yvon Maday

Published online: 22 September 2021

DOI: https://doi.org/10.1051/m2an/2021044

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Finite element approximation of steady flows of colloidal solutions p. 1963

Andrea Bonito, Vivette Girault, Diane Guignard, Kumbakonam R. Rajagopal and Endre Süli

Published online: 29 September 2021

DOI: https://doi.org/10.1051/m2an/2021043

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An adaptive edge element method and its convergence for an electromagnetic constrained optimal control problem p. 2013

Bowen Li and Jun Zou

Published online: 29 September 2021

DOI: https://doi.org/10.1051/m2an/2021046

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A hybrid high-order method for creeping flows of non-Newtonian fluids p. 2045

Michele Botti, Daniel Castanon Quiroz, Daniele A. Di Pietro and André Harnist

Published online: 01 October 2021

DOI: https://doi.org/10.1051/m2an/2021051

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Local finite element approximation of Sobolev differential forms p. 2075

Evan Gawlik, Michael J. Holst and Martin W. Licht

Published online: 01 October 2021

DOI: https://doi.org/10.1051/m2an/2021034

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Upstream mobility finite volumes for the Richards equation in heterogenous domains p. 2101

Sabrina Bassetto, Clément Cancès, Guillaume Enchéry and Quang-Huy Tran

Published online: 13 October 2021

DOI: https://doi.org/10.1051/m2an/2021047

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Nontensorial generalised hermite spectral methods for PDEs with fractional Laplacian and Schrödinger operators p. 2141

Changtao Sheng, Suna Ma, Huiyuan Li, Li-Lian Wang and Lueling Jia

Published online: 13 October 2021

DOI: https://doi.org/10.1051/m2an/2021049

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Local L²-bounded commuting projections in FEEC p. 2169

Douglas Arnold and Johnny Guzmán

Published online: 13 October 2021

DOI: https://doi.org/10.1051/m2an/2021054

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A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels p. 2185

Gerardo Hernandez-Duenas and Jorge Balbás

Published online: 13 October 2021

DOI: https://doi.org/10.1051/m2an/2021052

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Numerical discretization and fast approximation of a variably distributed-order fractional wave equation p. 2211

Jinhong Jia, Xiangcheng Zheng and Hong Wang

Published online: 13 October 2021

DOI: https://doi.org/10.1051/m2an/2021045

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SUPG-stabilized virtual elements for diffusion-convection problems: a robustness analysis p. 2233

Lourenco Beirão da Veiga, Franco Dassi, Carlo Lovadina and Giuseppe Vacca

Published online: 13 October 2021

DOI: https://doi.org/10.1051/m2an/2021050

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A method to enrich experimental datasets by means of numerical simulations in view of classification tasks p. 2259

Damiano Lombardi and Fabien Raphel

Published online: 13 October 2021

DOI: https://doi.org/10.1051/m2an/2021060

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A posteriori error estimates for semilinear optimal control problems p. 2293

Alejandro Allendes, Francisco Fuica, Enrique Otárola and Daniel Quero

Published online: 21 October 2021

DOI: https://doi.org/10.1051/m2an/2021033

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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 p. 2323

Chuanjun Chen and Xiaofeng Yang

Published online: 21 October 2021

DOI: https://doi.org/10.1051/m2an/2021056

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An embedded discontinuous Galerkin method for the Oseen equations p. 2349

Yongbin Han and Yanren Hou

Published online: 21 October 2021

DOI: https://doi.org/10.1051/m2an/2021059

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Existence of solutions and continuous and semi-discrete stability estimates for 3D/0D coupled systems modelling airflows and blood flows p. 2365

Céline Grandmont and Sébastien Martin

Published online: 21 October 2021

DOI: https://doi.org/10.1051/m2an/2021055

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Convergence of the uniaxial PML method for time-domain electromagnetic scattering problems p. 2421

Changkun Wei, Jiaqing Yang and Bo Zhang

Published online: 26 October 2021

DOI: https://doi.org/10.1051/m2an/2021064

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Fast solver for quasi-periodic 2D-Helmholtz scattering in layered media p. 2445

José Pinto, Ruben Aylwin and Carlos Jerez-Hanckes

Published online: 25 October 2021

DOI: https://doi.org/10.1051/m2an/2021053

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A structured coagulation-fragmentation equation in the space of radon measures: Unifying discrete and continuous models p. 2473

Azmy S. Ackleh, Rainey Lyons and Nicolas Saintier

Published online: 26 October 2021

DOI: https://doi.org/10.1051/m2an/2021061

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Basic convergence theory for the network element method p. 2503

Julien Coatléven

Published online: 29 October 2021

DOI: https://doi.org/10.1051/m2an/2021062

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A virtual element discretization for the time dependent Navier–Stokes equations in stream-function formulation p. 2535

Dibyendu Adak, David Mora, Sundararajan Natarajan and Alberth Silgado

Published online: 01 November 2021

DOI: https://doi.org/10.1051/m2an/2021058

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