Title :
A Massively Parallel Multigrid Method for Finite Elements
Author :
Bergen, Benjamin ; Gradl, Tobias ; Hülsemann, Frank ; Rüde, Ulrich
Abstract :
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
Keywords :
differential equations; finite element analysis; finite element problems; parallel multigrid method; stencil-based operations; Application software; Arithmetic; Concurrent computing; Costs; Finite element methods; Mesh generation; Multigrid methods; Partial differential equations; Scalability; Supercomputers; algebraic multigrid; multigrid;
Journal_Title :
Computing in Science & Engineering
DOI :
10.1109/MCSE.2006.102
