Parallel Large Scale Finite Element Computations

From Amdahl’s Law, the efficient use of parallel computers can not mean a parallelization of some single steps of a larger calculation, if in the same time a relatively large amount of sequentiell work remains or if special convenient data structures for such a step have to be produced with the help of expensive communications between the processors. From this reason, our basic work on parallel solving partial differential equations was directed to investigating and developing a natural fully parallel run of a finite element computation — from parallel distribution and generating the mesh — over parallel generate / assembly step — to parallel solution of the resulting large linear systems of equation and post-processing.