The hierarchical hybrid grid framework supports the parallel implementation of multigrid solvers for finite element problems. Specifically, it generates extremely fine meshes by using a structured refinement of an unstructured base mesh. For special problems with piecewise uniform material parameters, this leads to the possibility of stencil-based operations, which save substantial memory and permit a very efficient implementation of the multigrid method.
Index Terms:
multigrid, algebraic multigrid
Citation:
Benjamin Bergen, Tobias Gradl, Frank Hülsemann, Ulrich Rüde, "A Massively Parallel Multigrid Method for Finite Elements," Computing in Science and Engineering, vol. 8, no. 6, pp. 56-62, Nov./Dec. 2006, doi:10.1109/MCSE.2006.102