Parallel Hierarchical Block Wavelet Compression for an optimal compression rate of 3-D BEM problems

Today's low cost hardware developments allow for a parallelization of intensive computation processes over several selectable CPU cores by using Intel's OpenMP library. But if one applies this feature to a numerical simulation based on a boundary element method (BEM), there is still a huge bottle neck - the shared memory of such a system. So, if a low cost hardware should be effectively used for large BEM problems, a memory compression algorithm that is easily to be scheduled in parallel is of first choice. Within our new idea and development of the Hierarchical Block Wavelet Compression (HWC) which is based on IEEE's JPEG2000 standard for image compression, this bottle neck will be tackled in pure mathematically manners. Furthermore, its parallelization will be discussed and an optimal compression rate for a 3-D electrostatic BEM problem by a rather simple optimization algorithm will be presented.