No abstract

No abstract

The parallel version of precondition techniques is developed for matrices arising from the Galerkin boundary element method for two-dimensional domains with Dirichlet boundary conditions. Results were obtained for implementations on a transputer network as well as on an nCUBE-2 parallel computer showing that iterative solution methods are very well suited for a MIMD computer. A comparison of numerical results for iterative and direct solution methods is presented and underlines the superiority of iterative methods for large systems.

No abstract

Abstract. The paper recalls the period 1988-1993 when the research on parallel algorithms and their implementation started in Karl-Marx-Stadt (renamed to Chemnitz in 1990). We consider the research group formed at this time and the hardware available to this group. Parallel hardware as the transputer is considered and the ancient parallel computers from that time are depicted. The group has been formed by the series of workshops and seminars that took place; and the FEM-Symposium is still organized annually. We will focus on a few of these activities and present the developments in hardware, numerical methods, parallel algorithms and analysis that have been discussed between professors, research assistants and students. The paper contains also a brief view on parallel computers available to that group today and some examples document how the computing power has increased during a period of more than 20 years.