NETWORK PARALLEL SUBSTRUCTURE CONJUGATE GRADIENT METHOD BASED ON PVM

In recent years, network parallel environment is an important direction of parallel environment, PVM is one of the best popular software platforms which support heterogeneous or isogeneous network parallel computing. In this paper, a network parallel finite element method based on PVM is studied with substructure conjugate gradient method. In the method, the finite element grid is divided into n substructures, the information of n substructures is distributed to n microcomputers. The generation and formation of stiffness matrixes and loading arrays of n substructures are done by n microcomputers simultaneously. Preconditioned conjugate gradient method is employed to compute the nodal displacements, then each microcomputer determines the strains and stresses for its associated substructure. The method does not require the formation of global stiffness and loading array, the nodal displacements can be simultaneously obtained. The speed of convergency is faster than general superposition method. Examples show that the proposed parallel substructure conjugate gradient method can achieve better parallel speedup ratio for network.