A Skeletal High-Order Structure Preserving Scheme for Advection-Diffusion Equations

DOI10.1007/978-3-031-40864-9_29zbMath1529.65041arXiv2303.12062MaRDI QIDQ6182876

Julien Moatti

Publication date: 22 December 2023

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2303.12062

zbMATH Keywords

high-order schemesgeneral meshesstructure preserving methodsanisotropic advection-diffusion equations

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Positive solutions to PDEs (35B09) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Finite volume methods for boundary value problems involving PDEs (65N08)

Cites Work

• An arbitrary-order and compact-stencil discretization of diffusion on general meshes based on local reconstruction operators
• Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure
• Long-time behaviour of hybrid finite volume schemes for advection-diffusion equations: linear and nonlinear approaches
• The hybrid high-order method for polytopal meshes. Design, analysis, and applications
• Hybrid High-Order Methods
• Finite volume schemes for diffusion equations: Introduction to and review of modern methods
• Large-time behaviour of a family of finite volume schemes for boundary-driven convection–diffusion equations

This page was built for publication: A Skeletal High-Order Structure Preserving Scheme for Advection-Diffusion Equations