We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Of special interest is the design of algorithms, which reuse as much as possible of the corresponding sequential methods, thereby keeping the effort to update an existing implementation at a minimum. This could be achieved by making use of the properties of shared memory systems as they are widely available in the form of workstations or compute servers. These systems provide a simple and commonly supported programming interface in the form of POSIX-Threads.
The theoretical results for the parallel algorithms are tested with numerical examples from BEM and FEM applications.