Finite element analysis on distributed memory architectures
The finite element computations are to be performed on a transputer array. The domain of the problem is partitioned into a set of subdomains. The interior elements and the interface elements are distinguished for each subdomain. All the sets of interface elements are assigned to the master (driver) processor, while each interior set is assigned to a (slave) transputer. An iterative element-by-element preconditioned conjugate gradient algorithm is presented [see \textit{T. J. R. Hughes}, \textit{I. Levit} and \textit{J. Winget}, Element-by-element implicit algorithms for heat conduction, ASCE J. Eng. Mech. 109, 576-586 (1983)]. A two-dimensional Dirichlet problem for an elliptic equation in a rectangle is considered to test the method on a PC, IBM 80386 with eight transputers.
preconditioned conjugate gradient algorithm
scientific article; zbMATH DE number 165279