ESAIM: Mathematical Modelling and Numerical Analysis

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Continuum limit of [[EQUATION]]-Laplacian evolution problems on graphs: [[EQUATION]]graphons and sparse graphs

Received: 17 January 2022 / Revised: 03 October 2022 / Accepted: 14 January 2023
DOI: https://doi.org/10.1051/m2an/2023006

Reduced order modeling for elliptic problems with high contrast diffusion coefficients

Received: 31 January 2022 / Revised: 18 October 2022 / Accepted: 08 February 2023
DOI: https://doi.org/10.1051/m2an/2023013

Strong error analysis of Euler methods for overdamped generalized Langevin equations with fractional noise: Nonlinear case

Received: 04 February 2022 / Revised: 02 October 2022 / Accepted: 13 February 2023
DOI: https://doi.org/10.1051/m2an/2023015

A staggered projection scheme for viscoelastic flows

Received: 24 October 2021 / Revised: 26 January 2023 / Accepted: 22 February 2023
DOI: https://doi.org/10.1051/m2an/2023020

Convergence Analysis of Pressure Reconstruction Methods from discrete velocities

Received: 05 October 2021 / Revised: 07 December 2022 / Accepted: 27 February 2023
DOI: https://doi.org/10.1051/m2an/2023021

A fictitious-play finite-difference method for linearly solvable mean field games

Received: 28 April 2022 / Revised: 09 March 2023 / Accepted: 14 March 2023
DOI: https://doi.org/10.1051/m2an/2023026

A posteriori error estimation and adaptivity for multiple-network poroelasticity

Received: 14 December 2021 / Revised: 14 November 2022 / Accepted: 14 April 2023
DOI: https://doi.org/10.1051/m2an/2023033

Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients

Received: 04 October 2022 / Revised: 27 February 2023 / Accepted: 23 April 2023
DOI: https://doi.org/10.1051/m2an/2023035

Cost-optimal adaptive iterative linearized FEM for semilinear elliptic PDEs

Received: 08 November 2022 / Revised: 13 April 2023 / Accepted: 23 April 2023
DOI: https://doi.org/10.1051/m2an/2023036

Global existence of classical solutions and numerical simulations of a cancer invasion model

Received: 17 May 2022 / Revised: 03 March 2023 / Accepted: 28 April 2023
DOI: https://doi.org/10.1051/m2an/2023037

A posteriori error estimates for the large eddy simulation applied to incompressible fluids

Received: 24 June 2022 / Revised: 06 March 2023 / Accepted: 28 April 2023
DOI: https://doi.org/10.1051/m2an/2023039

A structure preserving hybrid finite volume scheme for semiconductor models with magnetic field on general meshes

Received: 26 August 2022 / Revised: 27 February 2023 / Accepted: 09 May 2023
DOI: https://doi.org/10.1051/m2an/2023041

A hybrid-dG method for singularly perturbed convection-diffusion equations on pipe networks

Received: 09 September 2022 / Revised: 13 March 2023 / Accepted: 16 May 2023
DOI: https://doi.org/10.1051/m2an/2023044

Analysis of compressible bubbly flows. Part I: Construction of a microscopic model.

Received: 15 September 2022 / Revised: 13 April 2023 / Accepted: 16 May 2023
DOI: https://doi.org/10.1051/m2an/2023045

Analysis of compressible bubbly flows. Part II: Derivation of a macroscopic model.

Received: 15 September 2022 / Revised: 13 April 2023 / Accepted: 16 May 2023
DOI: https://doi.org/10.1051/m2an/2023046

Analysis of nonconforming IFE methods and a new scheme for elliptic interface problems

Received: 20 December 2022 / Revised: 27 March 2023 / Accepted: 16 May 2023
DOI: https://doi.org/10.1051/m2an/2023047

A priori error analysis of new semidiscrete, Hamiltonian HDG methods for the time-dependent Maxwell's equations

Received: 04 November 2022 / Revised: 04 May 2023 / Accepted: 23 May 2023
DOI: https://doi.org/10.1051/m2an/2023048

First-order system least-squares finite element method for singularly perturbed Darcy equations

Received: 16 November 2022 / Revised: 08 May 2023 / Accepted: 23 May 2023
DOI: https://doi.org/10.1051/m2an/2023049