A parallel mixed finite element implementation for approximation of eigenvalues and eigenvectors of fourth-order eigenvalue problems

Abstract

The paper deals with a parallel implementation of a mixed finite element method of approximation of eigenvalues and eigenvectors of fourth order eigenvalue problems with variable/constant coefficients. The implementation has been done in Silicon Graphics Origin 3800, a four processor Intel Xeon Symmetric Multiprocessor and a beowulf cluster of four Intel Pentium III PCs. The generalised eigenvalue problem obtained after discretization using the mixed finite element method is solved using the package LANSO. The numerical results obtained are compared with existing results (if available). The time, speedup comparisons in different environments for some examples of practical and research interest and importance are also given.