Efficiency and Accuracy Improvement
This chapter is devoted to accuracy and efficiency improvement and to the quality of numerical grids for complex geometries. The increased efficiency provided by multigrid algorithms is described first, followed by examples. Adaptive grid methods and local grid refinement are the subject of another section. Finally, parallelization is discussed. Special attention is paid (1) to parallel processing for implicit methods based on domain decomposition in space and time and (2) to analysis of the efficiency of parallel processing. Example calculations are used to demonstrate these points.