三阶有限体积法双线性型的inf-sup条件证明  

A proof for the inf-sup conditions of the bi-linear forms for the third-order finite volume method

作　　者：张杰华 韩明华 周实然[2] Zhang Jiehua;Han Minghua;Zhou Shiran(School of Science,Kaili University,Kaili 556000,China;School of Education Science,Kaili University,Kaili 556000,China)

机构地区：[1]凯里学院理学院,贵州凯里556000 [2]凯里学院教育科学学院,贵州凯里556000

出　　处：《六盘水师范学院学报》2019年第3期23-29,共7页Journal of Liupanshui Normal University

基　　金：2017年度凯里学院规划课题“基于Maxwell方程的时域高效有限体积法研究”(BS201710);2018年度贵州省教育厅青年科技人才成长项目“基于高效有限体积法的超收敛后处理研究”(黔教合KY字〔2018〕361号)

摘　　要：对于求解Stokes方程的一致对偶剖分的三阶Lagrange有限体积法的离散双线性型,借助于有限元法中的宏元技巧,在三角形网格上将其inf-sup条件简化为一个局部的代数问题,利用构造适当函数的方法,证明了求解Stokes方程的三阶Lagrange有限体积法的离散双线性型的inf-sup条件。For the discrete bi-linear forms of the third-order Lagrange finite volume method for solving the Stokes equation with the uniform dual partitions of the triangle meshes, the analytical problem of the inf-sup conditions is simplified to a local algebraic problem by means of the macro-element technique introduced in finite element method. The inf-sup conditions of the discrete bi-linear forms is proved by using the method of constructing appropriate functions.

关 键 词：有限体积法 STOKES方程 INF-SUP条件 

分 类 号：TL329.2[核科学技术—核技术及应用]