Convergence of nonlinear numerical approximations for an elliptic linear problem with irregular data

DOI10.1051/m2an/2021079zbMath1493.65197OpenAlexW3217470983WikidataQ114105424 ScholiaQ114105424MaRDI QIDQ5034840

David Maltese, Robert Eymard

Publication date: 21 February 2022

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2021079

zbMATH Keywords

finite elementsentropy solutioncontrol-volume finite elementselliptic equations with irregular data

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Weak solutions to PDEs (35D30) Finite volume methods for boundary value problems involving PDEs (65N08)

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Cites Work

• Unnamed Item
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• Unnamed Item
• TP or not TP, that is the question
• Nonlinear elliptic equations in \(\mathbb{R}^ N\) without growth restrictions on the data
• Finite elements approximation of second order linear elliptic equations in divergence form with right-hand side in \(L^1\)
• Nonlinear elliptic and parabolic equations involving measure data
• Existence of a solution to a coupled elliptic system
• Non-coercive linear elliptic problems
• Theory and practice of finite elements.
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Convergence of a nonlinear entropy diminishing Control Volume Finite Element scheme for solving anisotropic degenerate parabolic equations
• Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes SUSHI: a scheme using stabilization and hybrid interfaces
• A Finite Volume Scheme for a Noncoercive Elliptic Equation with Measure Data
• Numerical analysis of a nonlinearly stable and positive control volume finite element scheme for Richards equation with anisotropy
• MODELING WELLS IN POROUS MEDIA FLOW
• Positive nonlinear CVFE scheme for degenerate anisotropic Keller-Segel system
• Solving convection-diffusion equations with mixed, Neumann and Fourier boundary conditions and measures as data, by a duality method.