并行多重网格计算:各向异性扩散问题

Parallel multigrid computations for anisotropic elliptic diffosion problems under distributed memory systems are discussed in this paper. Firstly, we analyse and overcome the effections to convergence factor due to the Jacobi components occured near the pseudo-boundary during line or plane relaxations by block based on domain decomposition. A new type of efficient communication structure is presented at the same time.Secondly, we organize the parallel multigrid computations for sir typical anisotropic diffusion problems based on parallel solutions of diagonial domillated tridiagonal linear algebric equations under the network of workstations (NOWs) with PVM software programming environment. Some useful conclusions are attained. The key factors which significantly decrease the parallel efficiency are also addressed.