Local Discontinuous Galerkin Methods for Reaction-Diffusion Systems on Unstructured Triangular Meshes

DOI10.1007/978-3-319-57099-0_16zbMath1368.65185OpenAlexW2607039003MaRDI QIDQ5274942

Maochang Duan, Chaobao Huang, Na An, Xi-Jun Yu

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_16

zbMATH Keywords

numerical examplesunstructured triangular mesheslocal discontinuous Galerkinnonlinear reaction-diffusion systemsimplicit integration factorchlorite-iodide-malonic acid model

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

• Unnamed Item
• Krylov implicit integration factor methods for spatial discretization on high-dimensional unstructured meshes: application to discontinuous Galerkin methods
• Application of discontinuous Galerkin methods for reaction-diffusion systems in developmental biology
• Direct discontinuous Galerkin method for nonlinear reaction-diffusion systems in pattern formation
• Efficient semi-implicit schemes for stiff systems
• An A Priori Error Analysis of the Local Discontinuous Galerkin Method for Elliptic Problems
• The Local Discontinuous Galerkin Method for Time-Dependent Convection-Diffusion Systems
• The chemical basis of morphogenesis
• LBGK simulations of Turing patterns in CIMA model

This page was built for publication: Local Discontinuous Galerkin Methods for Reaction-Diffusion Systems on Unstructured Triangular Meshes