ESAIM: Mathematical Modelling and Numerical Analysis

Open Access

A hybridizable discontinuous Galerkin method for second order elliptic equations with Dirac delta source p. 385

Haitao Leng and Yanping Chen

Published online: 14 February 2022

DOI: https://doi.org/10.1051/m2an/2022005

• Abstract
• PDF (3.389 MB)
• References

Open Access

A Glioblastoma PDE-ODE model including chemotaxis and vasculature p. 407

Antonio Fernández-Romero, Francisco Guillén-González and Antonio Suárez

Published online: 18 February 2022

DOI: https://doi.org/10.1051/m2an/2022012

• Abstract
• PDF (1.174 MB)
• References

Open Access

A modified Kačanov iteration scheme with application to quasilinear diffusion models p. 433

Pascal Heid and Thomas P. Wihler

Published online: 18 February 2022

DOI: https://doi.org/10.1051/m2an/2022008

• Abstract
• PDF (2.162 MB)
• References

Open Access

Mathematical analysis of Goldstein’s model for time-harmonic acoustics in flows p. 451

Antoine Bensalah, Patrick Joly and Jean-Francois Mercier

Published online: 24 February 2022

DOI: https://doi.org/10.1051/m2an/2022007

• Abstract
• PDF (801.7 KB)
• References

Open Access

Continuous Lambertian shape from shading: A primal-dual algorithm p. 485

Hamza Ennaji, Noureddine Igbida and Van Thanh Nguyen

Published online: 24 February 2022

DOI: https://doi.org/10.1051/m2an/2022014

• Abstract
• PDF (1.838 MB)
• References

Open Access

Partial differential equations on hypergraphs and networks of surfaces: Derivation and hybrid discretizations p. 505

Andreas Rupp, Markus Gahn and Guido Kanschat

Published online: 24 February 2022

DOI: https://doi.org/10.1051/m2an/2022011

• Abstract
• PDF (859.7 KB)
• References

Open Access

The adaptive biasing force algorithm with non-conservative forces and related topics p. 529

Tony Lelièvre, Lise Maurin and Pierre Monmarché

Published online: 28 February 2022

DOI: https://doi.org/10.1051/m2an/2022010

• Abstract
• PDF (570.3 KB)
• References

Open Access

Model adaptation for non-linear elliptic equations in mixed form: existence of solutions and numerical strategies p. 565

Alessio Fumagalli and Francesco Saverio Patacchini

Published online: 28 February 2022

DOI: https://doi.org/10.1051/m2an/2022016

• Abstract
• PDF (1.961 MB)
• References

Open Access

Mathematical modeling and numerical analysis for the higher order Boussinesq system p. 593

Bashar Khorbatly, Ralph Lteif, Samer Israwi and Stéphane Gerbi

Published online: 03 March 2022

DOI: https://doi.org/10.1051/m2an/2022015

• Abstract
• PDF (815.3 KB)
• References

Open Access

Rank-adaptive structure-preserving model order reduction of Hamiltonian systems p. 617

Jan S. Hesthaven, Cecilia Pagliantini and Nicolò Ripamonti

Published online: 08 March 2022

DOI: https://doi.org/10.1051/m2an/2022013

• Abstract
• PDF (7.003 MB)
• References

Open Access

Fully-discrete, decoupled, second-order time-accurate and energy stable finite element numerical scheme of the Cahn-Hilliard binary surfactant model confined in the Hele-Shaw cell p. 651

Xiaofeng Yang

Published online: 15 March 2022

DOI: https://doi.org/10.1051/m2an/2022003

• Abstract
• PDF (5.277 MB)
• References

Open Access

Discontinuous Galerkin and C⁰-IP finite element approximation of periodic Hamilton–Jacobi–Bellman–Isaacs problems with application to numerical homogenization p. 679

Ellya L. Kawecki and Timo Sprekeler

Published online: 15 March 2022

DOI: https://doi.org/10.1051/m2an/2022017

• Abstract
• PDF (2.004 MB)
• References

Open Access

Shape reconstructions by using plasmon resonances p. 705

Ming-Hui Ding, Hongyu Liu and Guang-Hui Zheng

Published online: 15 March 2022

DOI: https://doi.org/10.1051/m2an/2022021

• Abstract
• PDF (767.1 KB)
• References

Open Access

Analysis of the Stokes–Darcy problem with generalised interface conditions p. 727

Elissa Eggenweiler, Marco Discacciati and Iryna Rybak

Published online: 13 April 2022

DOI: https://doi.org/10.1051/m2an/2022025

• Abstract
• PDF (1.128 MB)
• References