稳态问题混合边界积分方程的高精度求积法与分裂外推  

A Quadrature Method and its Splitting Extraplation for Mixed Boundary Integral Equations of Stable Problems

作　　者：黄晋[1] 张黔川[2] 吕涛[2] 

机构地区：[1]电子科技大学应用数学学院,四川成都610054 [2]四川大学数学学院,四川成都610064

出　　处：《计算物理》2005年第6期560-564,共5页Chinese Journal of Computational Physics

基　　金：国家自然科学基金(1071073)资助项目

摘　　要：提出了求积法解稳态问题的混合边界积分方程,它拥有高精度,低复杂度.通过并行地解粗网格上的离散方程,根据误差的多参数渐近展开,应用分裂外推算法得到高精度的近似解,同时获得后验误差估计.We present a quadrature method for mixed boundary integral equations of stable problems, which provides high accuracy and less complexity. Discrete equations are solved in parallel according to the coarse mesh partitions. Approximations with high accuracy are obtained by splitting extrapolation methods based on multivariate asymptotic expansion of errors. Besides, a posteriori asymptotic error estimate is derived.

关 键 词：稳态问题 混合边界积分方程 求积法 分裂外推 

分 类 号：O351.3[理学—流体力学] O175.5[理学—力学]