A high-order upwind method for the convection-diffusion problem

DOI10.1016/S0045-7825(97)00004-2zbMath0897.76064OpenAlexW2068544848MaRDI QIDQ1376131

Dong Liang, Weidong Zhao

Publication date: 21 January 1998

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(97)00004-2

zbMATH Keywords

maximum principleerror estimatesH(1)-normL(\(\infty\))-normL(2)-norm

Mathematics Subject Classification ID

Finite difference methods applied to problems in fluid mechanics (76M20) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Diffusion and convection (76R99)

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Cites Work

• 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
• An ‘upwind’ finite element method via numerical intergration
• Homogeneous difference schemes of a high degree of accuracy on non-uniform nets
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