NONLINEAR SIMULATION OF ELECTROMAGNETIC-FIELDS WITH DOMAIN DECOMPOSITION METHODS ON MIMD PARALLEL COMPUTERS

被引:8
作者
HEISE, B [1 ]
机构
[1] JOHANNES KEPLER UNIV,INST MATH,A-4040 LINZ,AUSTRIA
关键词
NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS; DOMAIN DECOMPOSITION; FINITE ELEMENT METHODS; BOUNDARY ELEMENT METHODS; COUPLING; MAGNETIC FIELD CALCULATIONS;
D O I
10.1016/0377-0427(95)00065-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
An efficient domain decomposition (DD) algorithm for solving nonlinear boundary value problems on multiple instruction multiple data parallel computers is presented. The linearization is done by Newton's method, and the linear system is solved by CG with DD preconditioning. Further, the DD approach allows finite element and Galerkin boundary element methods to be combined in a unified variational problem. Test computations on a transputer-based system were performed for both model problems and a real-life electric motor.
引用
收藏
页码:373 / 381
页数:9
相关论文
共 28 条
[21]  
HEISE B, 1995, UNPUB NONLINEAR FIEL
[22]  
HEISE B, 1994, 9419 U STUTTG REP
[23]  
HSIAO GC, 1991, FOURTH INTERNATIONAL SYMPOSIUM ON DOMAIN DECOMPOSITION METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, P41
[24]  
KUHN M, 1994, 9415 U STUTTG REP
[25]  
Langer U., 1994, CONTEMP MATH, V157, P335
[26]  
STEINBACH O, 1994, OCT OB C
[27]   A DOMAIN DECOMPOSITION PRECONDITIONER BASED ON A CHANGE TO A MULTILEVEL NODAL BASIS [J].
TONG, CH ;
CHAN, TF ;
KUO, CCJ .
SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1991, 12 (06) :1486-1495
[28]  
Wendland W. L., 1990, DISCRETIZATION METHO, P405