Recent articles published in 'ESAIM: Mathematical Modelling and Numerical Analysis'

Recent articles published in 'ESAIM: Mathematical Modelling and Numerical Analysis' https://www.esaim-m2an.org Recent articles published in 'ESAIM: Mathematical Modelling and Numerical Analysis' daily 1 2026-04-27T22:51:01Z EDP Sciences Copyright (c) EDP Sciences 2026 Copyright (c) EDP Sciences 2026 2822-7840 ESAIM: Mathematical Modelling and Numerical Analysis High order asymptotic-preserving penalized numerical schemes for the Euler-Poisson system in the quasineutral limit https://www.esaim-m2an.org/10.1051/m2an/2026004 Authors: Nicolas Crouseilles, Giacomo Dimarco and Saurav Samantaray. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 657 Published online: 09/04/2026 Keywords: Plasma simulation ; quasineutral limit ; Euler-Poisson system ; asymptotic-preserving schemes ; Debye length.35Q31 ; 65M12 ; 65L04. High order asymptotic-preserving penalized numerical schemes for the Euler-Poisson system in the quasineutral limit Nicolas Crouseilles Giacomo Dimarco Saurav Samantaray Plasma simulation quasineutral limit Euler-Poisson system asymptotic-preserving schemes Debye length 35Q31 65M12 65L04 2026-04-09 text/html 10.1051/m2an/2026004 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-09 ESAIM: Mathematical Modelling and Numerical Analysis 657 60 Discretization and convergence of the ballistic Benamou-Brenier formulation of the porous medium and burgers’ equations https://www.esaim-m2an.org/10.1051/m2an/2025100 Authors: Jean-Marie Mirebeau and Erwan Stampfli. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 727 Published online: 09/04/2026 Keywords: Finite difference methods ; porous media equation ; viscous Burgers’ equation ; numerical convergence ; scheme.65M06 ; 65M12 ; 49M29 ; 35A15 ; 35L65. Discretization and convergence of the ballistic Benamou-Brenier formulation of the porous medium and burgers’ equations Jean-Marie Mirebeau Erwan Stampfli Finite difference methods porous media equation viscous Burgers’ equation numerical convergence scheme 65M06 65M12 49M29 35A15 35L65 2026-04-09 text/html 10.1051/m2an/2025100 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-09 ESAIM: Mathematical Modelling and Numerical Analysis 727 60 Enriching continuous lagrange finite element approximation spaces using neural networks https://www.esaim-m2an.org/10.1051/m2an/2026007 Authors: Hélène Barucq, Michel Duprez, Florian Faucher, Emmanuel Franck, Frédérique Lecourtier, Vanessa Lleras, Victor Michel-Dansac and Nicolas Victorion. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 541 Published online: 06/04/2026 Keywords: Neural network ; finite element method ; physics-informed neural network ; numerical analysis ; partial differential equations.35A35 ; 65N30 ; 68T01. Enriching continuous lagrange finite element approximation spaces using neural networks Hélène Barucq Michel Duprez Florian Faucher Emmanuel Franck Frédérique Lecourtier Vanessa Lleras Victor Michel-Dansac Nicolas Victorion Neural network finite element method physics-informed neural network numerical analysis partial differential equations 35A35 65N30 68T01 2026-04-06 text/html 10.1051/m2an/2026007 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-06 ESAIM: Mathematical Modelling and Numerical Analysis 541 60 A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes https://www.esaim-m2an.org/10.1051/m2an/2026008 Authors: Thomas Borsoni, Laurent Boudin, Julien Mathiaud and Francesco Salvarani. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 473 Published online: 24/03/2026 Keywords: Boltzmann equation ; polyatomic gases ; resonant collisions ; quasi-resonant collisions ; near-resonance ; Landau-Teller equations.35Q20 ; 76P05 ; 82C40. A kinetic model for polyatomic gas with quasi-resonant collisions leading to bi-temperature relaxation processes Thomas Borsoni Laurent Boudin Julien Mathiaud Francesco Salvarani Boltzmann equation polyatomic gases resonant collisions quasi-resonant collisions near-resonance Landau-Teller equations 35Q20 76P05 82C40 2026-03-24 text/html 10.1051/m2an/2026008 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-03-24 ESAIM: Mathematical Modelling and Numerical Analysis 473 60 Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators https://www.esaim-m2an.org/10.1051/m2an/2026009 Authors: Qiumei Huang, Alexander Ostermann and Gangfan Zhong. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 495 Published online: 24/03/2026 Keywords: Exponential Runge-Kutta methods ; semilinear parabolic problems ; nonsmooth initial data ; split exponential integrators.65M12 ; 65L06. Nonsmooth data error estimates for exponential Runge-Kutta methods and applications to split exponential integrators Qiumei Huang Alexander Ostermann Gangfan Zhong Exponential Runge-Kutta methods semilinear parabolic problems nonsmooth initial data split exponential integrators 65M12 65L06 2026-03-24 text/html 10.1051/m2an/2026009 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-03-24 ESAIM: Mathematical Modelling and Numerical Analysis 495 60 A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport https://www.esaim-m2an.org/10.1051/m2an/2026014 Authors: Arne Berrens and Jan Giesselmann. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 909 Published online: 17/04/2026 Keywords: Cross-diffusion ; ion transport ; finite-volume approximation ; a posteriori error estimates ; diffusion equation.35K65 ; 35K51 ; 65M08 ; 35K40 ; 65M15. A posteriori error control for a finite volume scheme for a cross-diffusion model of ion transport Arne Berrens Jan Giesselmann Cross-diffusion ion transport finite-volume approximation a posteriori error estimates diffusion equation 35K65 35K51 65M08 35K40 65M15 2026-04-17 text/html 10.1051/m2an/2026014 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-17 ESAIM: Mathematical Modelling and Numerical Analysis 909 60 Self-regulated biological transportation structures with general entropy dissipation: 2D case and leaf-shaped domain https://www.esaim-m2an.org/10.1051/m2an/2026011 Authors: Clarissa Astuto, Peter Markowich, Simone Portaro and Giovanni Russo. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 605 Published online: 06/04/2026 Keywords: Self-regulating processes ; biological network formation ; Hölder spaces ; semigroup theory ; ghost finite element methods ; Wasserstein distance ; positivity analysis.35A01 ; 22A15 ; 76M10 ; 65N30. Self-regulated biological transportation structures with general entropy dissipation: 2D case and leaf-shaped domain Clarissa Astuto Peter Markowich Simone Portaro Giovanni Russo Self-regulating processes biological network formation Hölder spaces semigroup theory ghost finite element methods Wasserstein distance positivity analysis 35A01 22A15 76M10 65N30 2026-04-06 text/html 10.1051/m2an/2026011 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-06 ESAIM: Mathematical Modelling and Numerical Analysis 605 60 A twofold perturbed saddle point-based fully mixed finite element method for the coupled Brinkman–Forchheimer/Darcy problem https://www.esaim-m2an.org/10.1051/m2an/2026016 Authors: Sergio Carrasco, Sergio Caucao and Gabriel N. Gatica. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 785 Published online: 09/04/2026 Keywords: Brinkman Forchheimer problem ; Darcy problem ; pseudostress-velocity formulation ; mixed finite element methods ; a priori error analysis.65N30 ; 65N12 ; 65N15 ; 74F10 ; 76D05 ; 76S05. A twofold perturbed saddle point-based fully mixed finite element method for the coupled Brinkman–Forchheimer/Darcy problem Sergio Carrasco Sergio Caucao Gabriel N. Gatica Brinkman Forchheimer problem Darcy problem pseudostress-velocity formulation mixed finite element methods a priori error analysis 65N30 65N12 65N15 74F10 76D05 76S05 2026-04-09 text/html 10.1051/m2an/2026016 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-09 ESAIM: Mathematical Modelling and Numerical Analysis 785 60 The regularity of electronic wave functions in barron spaces https://www.esaim-m2an.org/10.1051/m2an/2026015 Authors: Harry Yserentant. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 689 Published online: 09/04/2026 Keywords: Schrödinger equation ; regularity ; Barron spaces.35J10 ; 35B65 ; 68T07. The regularity of electronic wave functions in barron spaces Harry Yserentant Schrödinger equation regularity Barron spaces 35J10 35B65 68T07 2026-04-09 text/html 10.1051/m2an/2026015 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-09 ESAIM: Mathematical Modelling and Numerical Analysis 689 60 A mixed finite element method for a class of fourth-order stochastic evolution equations with multiplicative noise https://www.esaim-m2an.org/10.1051/m2an/2026018 Authors: Beniamin Goldys, Agus Leonardi Soenjaya and Thanh Tran. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 827 Published online: 09/04/2026 Keywords: Fourth-order stochastic PDEs ; mixed finite element method ; stochastic Landau-Lifshitz-Baryakhtar ; stochastic Cahn-Hilliard ; stochastic ferromagnetism.35R60 ; 60H15 ; 65M60. A mixed finite element method for a class of fourth-order stochastic evolution equations with multiplicative noise Beniamin Goldys Agus Leonardi Soenjaya Thanh Tran Fourth-order stochastic PDEs mixed finite element method stochastic Landau-Lifshitz-Baryakhtar stochastic Cahn-Hilliard stochastic ferromagnetism 35R60 60H15 65M60 2026-04-09 text/html 10.1051/m2an/2026018 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-09 ESAIM: Mathematical Modelling and Numerical Analysis 827 60 Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes https://www.esaim-m2an.org/10.1051/m2an/2026019 Authors: Georgios Akrivis, Sören Bartels, Michele Ruggeri and Jilu Wang. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 633 Published online: 06/04/2026 Keywords: Harmonic map ; gradient flow ; midpoint method ; unit-length constraint.35J50 ; 35J62 ; 35K59 ; 65M15 ; 65M60. Projection-free approximation of flows of harmonic maps with quadratic constraint accuracy and variable step sizes Georgios Akrivis Sören Bartels Michele Ruggeri Jilu Wang Harmonic map gradient flow midpoint method unit-length constraint 35J50 35J62 35K59 65M15 65M60 2026-04-06 text/html 10.1051/m2an/2026019 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-06 ESAIM: Mathematical Modelling and Numerical Analysis 633 60 Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model https://www.esaim-m2an.org/10.1051/m2an/2026012 Authors: Xueling Huang, Olivier Goubet and Jie Shen. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 517 Published online: 24/03/2026 Keywords: Keller-Segel equations ; mass conservation ; positivity preserving ; energy dissipation ; error estimates.92C17 ; 65M12 ; 35K20 ; 35B09. Numerical analysis of a semi-implicit Euler scheme for the Keller-Segel model Xueling Huang Olivier Goubet Jie Shen Keller-Segel equations mass conservation positivity preserving energy dissipation error estimates 92C17 65M12 35K20 35B09 2026-03-24 text/html 10.1051/m2an/2026012 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-03-24 ESAIM: Mathematical Modelling and Numerical Analysis 517 60 Stable hybrid upwinding VAG scheme for the incompressible diphasic model with discontinuous capillary pressure https://www.esaim-m2an.org/10.1051/m2an/2026017 Authors: Thomas Crozon, Roland Masson, El Houssaine Quenjel and Mazen Saad. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 701 Published online: 09/04/2026 Keywords: Degenerate compressible two-phase Darcy flow ; hybrid-upwinding ; VAG scheme.35K55 ; 35K65 ; 65M08 ; 65M12. Stable hybrid upwinding VAG scheme for the incompressible diphasic model with discontinuous capillary pressure Thomas Crozon Roland Masson El Houssaine Quenjel Mazen Saad Degenerate compressible two-phase Darcy flow hybrid-upwinding VAG scheme 35K55 35K65 65M08 65M12 2026-04-09 text/html 10.1051/m2an/2026017 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-09 ESAIM: Mathematical Modelling and Numerical Analysis 701 60 A strongly mass-conservative method for the coupled Navier-Stokes and Darcy-Forchheimer equations https://www.esaim-m2an.org/10.1051/m2an/2026021 Authors: Jingyu Liu and Lina Zhao. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 871 Published online: 09/04/2026 Keywords: Discontinuous Galerkin methods ; mixed finite element method ; strong mass conservation ; pressure-robustness ; Navier-Stokes equations ; Darcy-Forchheimer problem.65M60 ; 65N22 ; 65N30 ; 74F10 ; 76M10. A strongly mass-conservative method for the coupled Navier-Stokes and Darcy-Forchheimer equations Jingyu Liu Lina Zhao Discontinuous Galerkin methods mixed finite element method strong mass conservation pressure-robustness Navier-Stokes equations Darcy-Forchheimer problem 65M60 65N22 65N30 74F10 76M10 2026-04-09 text/html 10.1051/m2an/2026021 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-09 ESAIM: Mathematical Modelling and Numerical Analysis 871 60 Convergence rate for a semidiscrete approximation of scalar conservation laws https://www.esaim-m2an.org/10.1051/m2an/2026020 Authors: Magnus Christie Ørke. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 761 Published online: 09/04/2026 Keywords: Scalar conservation laws ; particle paths ; traffic flow.65M12 ; 35L65 ; 90B20. Convergence rate for a semidiscrete approximation of scalar conservation laws Magnus Christie Ørke Scalar conservation laws particle paths traffic flow 65M12 35L65 90B20 2026-04-09 text/html 10.1051/m2an/2026020 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-09 ESAIM: Mathematical Modelling and Numerical Analysis 761 60 Convergence analysis of a balancing domain decomposition method for an elliptic optimal control problem with HDG discretizations https://www.esaim-m2an.org/10.1051/m2an/2026024 Authors: Sijing Liu and Jinjin Zhang. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 981 Published online: 17/04/2026 Keywords: Elliptic distributed optimal control problems ; hybridizable discontinuous Galerkin methods ; BDDC algorithms.49J20 ; 49M41 ; 65N30 ; 65N55. Convergence analysis of a balancing domain decomposition method for an elliptic optimal control problem with HDG discretizations Sijing Liu Jinjin Zhang Elliptic distributed optimal control problems hybridizable discontinuous Galerkin methods BDDC algorithms 49J20 49M41 65N30 65N55 2026-04-17 text/html 10.1051/m2an/2026024 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-17 ESAIM: Mathematical Modelling and Numerical Analysis 981 60 A non-convex variational model for joint polyenergetic ct reconstruction, sensor denoising and material decomposition https://www.esaim-m2an.org/10.1051/m2an/2026023 Authors: Georgios Papanikos and Benedikt Wirth. ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60 , page 945 Published online: 17/04/2026 Keywords: Polyenergetic computed tomography ; variational image reconstruction model ; material decomposition ; photon counting noise ; electronic noise.90C30 ; 49M37 ; 65K10 ; 65R32 ; 45Q05. A non-convex variational model for joint polyenergetic ct reconstruction, sensor denoising and material decomposition Georgios Papanikos Benedikt Wirth Polyenergetic computed tomography variational image reconstruction model material decomposition photon counting noise electronic noise 90C30 49M37 65K10 65R32 45Q05 2026-04-17 text/html 10.1051/m2an/2026023 ESAIM: Mathematical Modelling and Numerical Analysis Vol. 60(2) abstract m2an/2026/02 2026-04-17 ESAIM: Mathematical Modelling and Numerical Analysis 945 60