Solving convection-diffusion-reaction equation by adaptive finite volume element method

DOI10.1016/j.matcom.2011.06.002zbMath1241.65073OpenAlexW2015490658MaRDI QIDQ413898

Pramote Dechaumphai, Sutthisak Phongthanapanich, Patcharee Theeraek

Publication date: 8 May 2012

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2011.06.002

zbMATH Keywords

numerical examplesfinite volume element methodconvection-diffusion-reaction equationadaptive meshing technique

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Systematic formulation of a general numerical framework for solving the two-dimensional convection-diffusion-reaction system ⋮ An accuracy comparison of piecewise linear reconstruction techniques for the characteristic finite volume method for two‐dimensional convection‐diffusion equation ⋮ Proper generalized decomposition using Taylor expansion for non-linear diffusion equations ⋮ Global existence and decay estimate of solution to one dimensional convection-diffusion equation

Cites Work

• Unnamed Item
• Unnamed Item
• On the stabilization parameter in the subgrid scale approximation of scalar convection-diffusion-reaction equations on distorted meshes
• Combined finite volume element method for singularly perturbed reaction-diffusion problems
• Adaptive remeshing for compressible flow computations
• A new stabilized finite element formulation for scalar convection-diffusion problems: the streamline and approximate upwind/Petrov-Galerkin method.
• Comparison of some finite element methods for solving the diffusion-convection-reaction equation
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Galerkin projected residual method applied to diffusion-reaction problems
• Development of CFL-Free, Explicit Schemes for Multidimensional Advection-Reaction Equations
• Higher-resolution convection schemes for flow in porous media on highly distorted unstructured grids
• A new stabilized finite element method for reaction-diffusion problems: The source-stabilized Petrov-Galerkin method
• Finite element Euler computations in three dimensions
• High resolution NVD differencing scheme for arbitrarily unstructured meshes
• A general algorithm for compressible and incompressible flow—Part I. the split, characteristic‐based scheme

This page was built for publication: Solving convection-diffusion-reaction equation by adaptive finite volume element method