双曲方程基于BB型对偶剖分的有限体积元法

Abstract

Abstract:

One semidiscrete and two fully discrete finite volume element methods based on triangulation and BB dual subdivisions were presented for the hyperbolic equations. Here, the two fully discrete schemes were approximated by the GrankNicolson and the Backward Euler schemes respectively. And the optimal H₁,L₂ norms error estimates for the semidiscrete finite volume
element scheme were obtained, and the error estimates of the two fully discrete schemes were also obtained.

Key words: hyperbolic equation, finite volume element method, BB dual subdivision, error estimate

CLC Number:

O241.82

GAN Xiao-Ting, YANG Ying. Finite Volume Element Method for Hyperbolic Equationon BB Dual Subdivisions[J].J4, 2010, 48(06): 914-920.

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Finite Volume Element Method for Hyperbolic Equationon BB Dual Subdivisions

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