A Self-Adaptive Multigrid Technique for 3-D Space Charge Calculations

Most physical problems contain variations in scale; this holds true for the area of electromagnetic field computation. For this reason, research is ongoing to construct adaptive discretization techniques. The focus of this paper lies in the investigation of an adaptive refinement strategy based on the multigrid technique. Such adaptive discretizations are required, for instance, for the efficient calculation of 3-D space charge effects of bunches of charged particles. The refinement strategy under investigation here employs the $\tau$-criterion.