A symmetric characteristic finite volume element scheme for nonlinear convection-diffusion problems

DOI10.1007/s10255-005-5183-yzbMath1145.65077OpenAlexW2014698798MaRDI QIDQ925975

Min Yang, Yi-Rang Yuan

Publication date: 26 May 2008

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

Full work available at URL: https://doi.org/10.1007/s10255-005-5183-y

zbMATH Keywords

artificial viscosityerror boundalternating direction methodfinite volume element methodnonlinear advection-diffusion equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Cites Work

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• Time Stepping Along Characteristics with Incomplete Iteration for a Galerkin Approximation of Miscible Displacement in Porous Media
• Galerkin Alternating-Direction Methods for Nonrectangular Regions Using Patch Approximations
• Alternating-Direction Galerkin Methods for Parabolic and Hyperbolic Problems on Rectangular Polygons
• On the Accuracy of the Finite Volume Element Method Based on Piecewise Linear Polynomials