摘要
The solution of the boundary-vaue problem for non-self-adjoint elliptic equa tions is approximated by Partial Upwind Finite Element method, where all the angles of the triangles a are /2 but the mesh parameter h are arbitrary and which insures the validity of the strongly maximum principle for the discrete prob-lem. The Schwarz alternating method will enable us to break the discrete linear system into several linear subsystems of smaller size and we shall show that the approximate solutions from Schwarz domain decomposition method converge to the exact solution of the linear system geometrically and uniformly.
The solution of the boundary-vaue problem for non-self-adjoint elliptic equa tions is approximated by Partial Upwind Finite Element method, where all the angles of the triangles a are /2 but the mesh parameter h are arbitrary and which insures the validity of the strongly maximum principle for the discrete prob-lem. The Schwarz alternating method will enable us to break the discrete linear system into several linear subsystems of smaller size and we shall show that the approximate solutions from Schwarz domain decomposition method converge to the exact solution of the linear system geometrically and uniformly.
出处
《计算数学》
CSCD
北大核心
1999年第3期283-292,共10页
Mathematica Numerica Sinica
基金
国家自然科学基金!19771050
关键词
离散强极值原理
区域分解法
椭圆型方程
Strongly discrete maximum principle, Domain decompo-sition method
