Modified high-order upwind method for convection diffusion equation

DOI10.1007/s102550200011zbMath1005.65116OpenAlexW2076449385MaRDI QIDQ1611090

Weidong Zhao, Dong Liang

Publication date: 4 February 2003

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s102550200011

zbMATH Keywords

error estimateconvection diffusion equationhigh-order upwind finite difference method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite difference methods for boundary value problems involving PDEs (65N06)

Cites Work

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• Upwind compact finite difference schemes
• A class of implicit upwind schemes for Euler simulations with unstructured meshes
• A comparison of uniformly convergent difference schemes for two- dimensional convection diffusion problems
• Solution of transient transport equation using an upstream finite element scheme
• A high-order upwind method for the convection-diffusion problem
• A new upwind scheme on triangular meshes using the finite volume method.
• An ‘upwind’ finite element method via numerical intergration
• An ‘upwind’ finite element scheme for two‐dimensional convective transport equation
• New numerical schemes based on a criterion for constructing essentially stable and accurate numerical schemes for convection‐dominated equations
• Finite Volume Methods for Convection-Diffusion Problems