ESAIM: Mathematical Modelling and Numerical Analysis

Open Access

ϕ-FEM: an optimally convergent and easily implementable immersed boundary method for particulate flows and Stokes equations p. 1111

Michel Duprez, Vanessa Lleras and Alexei Lozinski

Published online: 08 May 2023

DOI: https://doi.org/10.1051/m2an/2023010

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Open Access

A variable time-step IMEX-BDF2 SAV scheme and its sharp error estimate for the Navier–Stokes equations p. 1143

Yana Di, Yuheng Ma, Jie Shen and Jiwei Zhang

Published online: 08 May 2023

DOI: https://doi.org/10.1051/m2an/2023007

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Open Access

Exponential stabilization for carbon nanotubes modeled as Timoshenko beams with thermoelastic effects p. 1171

Anderson J.A. Ramos, Mauro A. Rincon, Rodrigo L.R. Madureira and Mirelson M. Freitas

Published online: 08 May 2023

DOI: https://doi.org/10.1051/m2an/2023002

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Open Access

Analysis of a method to compute mixed-mode stress intensity factors for non-planar cracks in three-dimensions p. 1195

Benjamin E. Grossman-Ponemon, Matteo Negri and Adrian J. Lew

Published online: 08 May 2023

DOI: https://doi.org/10.1051/m2an/2023001

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Open Access

Truncation errors and modified equations for the lattice Boltzmann method via the corresponding Finite Difference schemes p. 1225

Thomas Bellotti

Published online: 08 May 2023

DOI: https://doi.org/10.1051/m2an/2023008

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Open Access

A hybridizable discontinuous Galerkin method for the fully coupled time-dependent Stokes/Darcy-transport problem p. 1257

Aycil Cesmelioglu, Dinh Dong Pham and Sander Rhebergen

Published online: 12 May 2023

DOI: https://doi.org/10.1051/m2an/2023016

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Open Access

Stability and discretization error analysis for the Cahn–Hilliard system via relative energy estimates p. 1297

Aaron Brunk, Herbert Egger, Oliver Habrich and Mária Lukáčová-Medviďová

Published online: 12 May 2023

DOI: https://doi.org/10.1051/m2an/2023017

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Open Access

Fully decoupled energy-stable numerical schemes for two-phase coupled porous media and free flow with different densities and viscosities p. 1323

Yali Gao, Xiaoming He, Tao Lin and Yanping Lin

Published online: 12 May 2023

DOI: https://doi.org/10.1051/m2an/2023012

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Open Access

A locally modified second-order finite element method for interface problems and its implementation in 2 dimensions p. 1355

Stefan Frei, Gozel Judakova and Thomas Richter

Published online: 12 May 2023

DOI: https://doi.org/10.1051/m2an/2023022

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Open Access

Convergence analysis of a Local Discontinuous Galerkin approximation for nonlinear systems with balanced Orlicz-structure p. 1381

Alex Kaltenbach and Michael Růžička

Published online: 12 May 2023

DOI: https://doi.org/10.1051/m2an/2023028

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Open Access

A homogenized model accounting for dispersion, interfaces and source points for transient waves in 1D periodic media p. 1413

Rémi Cornaggia and Bruno Lombard

Published online: 18 May 2023

DOI: https://doi.org/10.1051/m2an/2023027

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Open Access

Convergence of entropy stable schemes for degenerate parabolic equations with a discontinuous convection term p. 1445

Claudia Acosta and Silvia Jerez

Published online: 18 May 2023

DOI: https://doi.org/10.1051/m2an/2023018

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Open Access

A multiphase Cahn–Hilliard system with mobilities and the numerical simulation of dewetting p. 1473

Elie Bretin, Roland Denis, Simon Masnou, Arnaud Sengers and Garry Terii

Published online: 18 May 2023

DOI: https://doi.org/10.1051/m2an/2023023

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Open Access

New mixed finite element methods for the coupled Stokes and Poisson–Nernst–Planck equations in Banach spaces p. 1511

Claudio I. Correa, Gabriel N. Gatica and Ricardo Ruiz-Baier

Published online: 26 May 2023

DOI: https://doi.org/10.1051/m2an/2023024

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Optimal Geometric Multigrid Preconditioners for HDG-P0 Schemes for the reaction-diffusion equation and the Generalized Stokes equations p. 1553

Guosheng Fu and Wenzheng Kuang

Published online: 26 May 2023

DOI: https://doi.org/10.1051/m2an/2023025

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Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system p. 1589

Maxime Herda and Antoine Zurek

Published online: 26 May 2023

DOI: https://doi.org/10.1051/m2an/2023032

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Efficient inequality-preserving integrators for differential equations satisfying forward Euler conditions p. 1619

Hong Zhang, Xu Qian, Jun Xia and Songhe Song

Published online: 26 May 2023

DOI: https://doi.org/10.1051/m2an/2023029

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Open Access

A new two-dimensional blood flow model with arbitrary cross sections p. 1657

Cesar Alberto Rosales-Alcantar and Gerardo Hernández-Dueñas

Published online: 26 May 2023

DOI: https://doi.org/10.1051/m2an/2023030

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Open Access

Finite element approximation of dielectrophoretic force driven flow problems p. 1691

Philipp Gerstner and Vincent Heuveline

Published online: 26 May 2023

DOI: https://doi.org/10.1051/m2an/2023031

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Open Access

A Nitsche method for the elastoplastic torsion problem p. 1731

Franz Chouly, Tom Gustafsson and Patrick Hild

Published online: 26 May 2023

DOI: https://doi.org/10.1051/m2an/2023034

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Open Access

A staggered projection scheme for viscoelastic flows p. 1747

Omar Mokhtari, Yohan Davit, Jean-Claude Latché and Michel Quintard

Published online: 07 June 2023

DOI: https://doi.org/10.1051/m2an/2023020

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Open Access

Continuum limit of p-Laplacian evolution problems on graphs: L^q graphons and sparse graphs p. 1795

Imad El Bouchairi, Jalal M. Fadili and Abderrahim Elmoataz

Published online: 07 June 2023

DOI: https://doi.org/10.1051/m2an/2023006

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Open Access

Convergence analysis of pressure reconstruction methods from discrete velocities p. 1839

Rodolfo Araya, Cristobal Bertoglio, Cristian Carcamo, David Nolte and Sergio Uribe

Published online: 14 June 2023

DOI: https://doi.org/10.1051/m2an/2023021

• Abstract
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