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Alternating Direction Finite Volume Element Methods for Three-Dimensional Parabolic Equations
Authors:Tongke Wang
Abstract:This paper presents alternating direction finite volume element methods for three-dimensional parabolic partial differential equations and gives four computational schemes, one is analogous to Douglas finite difference scheme with second-order splitting error, the other two schemes have third-order splitting error, and the last one is an extended LOD scheme. The L2 norm and H1 semi-norm error estimates are obtained for the first scheme and second one, respectively. Finally, two numerical examples are provided to illustrate the efficiency and accuracy of the methods.
Keywords:Three-dimensional parabolic equation  alternating direction method  finite volume element method  error estimate
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