摘要
针对一类非线性传输问题提出了有限元与边界元的耦合方法并设计了基于耦合法的区域分解算法.该算法避免了求解边界积分方程,从而计算量大大减少.算法的收敛性分析和数值算例验证了该算法的合理和有效性.
This paper proposes a coupled finite element method-boundary ele- ment method (FEM-BEM) formula for the nonlinear transmission problem and presents a domain decomposition method which avoids solving the boundary inte- gral equation and needs less computational complexity. The convergence analysis of the method is given, and some numerical experiments validate the theoretical results.
出处
《应用数学与计算数学学报》
2018年第1期64-73,共10页
Communication on Applied Mathematics and Computation
基金
supported by the National Natural Science Foundation of China(11571226,11671313)
关键词
非线性
传输问题
有限元一边界元耦合法
区域分解法
nonlinear
transmission problem
coupled finite element method- boundary element method (FEM-BEM)
domain decomposition method