By using multiprocessor systems equiped with local memory and shared memory as the hardware enviroment of the application, the implementation of EBE-PCG method is discussed. with especal attention on the problems relating to configuration of tasks,storation and visiting of datas,communication and synchronization. Finally,a structural analysis problem is solved by use of EBE-PCG method.The results show that the algorithm is effective numerical method for the super-large scale structural analysis problems.

Important concepts such as element vector, pseudo-element valor are discussed and an EBE cpmputational method of preconditioned conjugate gradient method (PCG) is presented, namely EBE-PCG method, which does not require the formation of global stiffness matrix and is highly parallizable. Numerical example shows it is very efficient.

In this paper, based on the work of L.J.Hayes in 1986, a vectorized algorithm of the global stiffness matrix-vector multiply in finite element structural analysis is developed when we in fact don't form the global stiffness matrix. A numerical example by using the method in iterative solution of finite element equations verify it is very efficient.