基于BB型对偶剖分的抛物方程有限体积元法  

Finite volume element method of parabolic equation based on BB dual subdivisions

作　　者：程志伟[1] 李永海[1] 

机构地区：[1]吉林大学数学学院,长春130012

出　　处：《吉林大学学报（理学版）》2004年第2期179-181,共3页Journal of Jilin University:Science Edition

摘　　要：讨论了抛物方程基于三角形剖分和BB型对偶剖分的有限体积元法,给出半离散及全离散有限体积元格式的最佳阶L2和H1误差估计.The present paper deals with a finite volume element method of the parabolic equations based on triangle subdivision and BB dual subdivisions. The trial space is the piecewise linear functions on triangular meshes, the test space is the piecewise constants corresponding to BB dual subdivisions. Optimal L^2 and H^1 convergence rates for semi-discrete and fully discrete methods are proved.

关 键 词：抛物型方程 三角形剖分 BB型对偶剖分 有限体积元法 误差估计 

分 类 号：O175.26[理学—数学] O241.82[理学—基础数学]