In an influential article, Marfurt suggested that the best scheme for computational wave propagation would involve an averaging of the consistent and lumped finite element approximations. Many authors have considered how this might be accomplished for first order approximation, but the case of higher orders remained unsolved. We describe recent ...
Creator:
Ainsworth, Mark (University of Strathclyde)
Created:
2010-12-02
Contributed By:
University of Minnesota, Institute for Mathematics and its Applications.
We will report on our experiences implementing PDE solvers on Peta-Scale computers, such as the 290 000 core IBM Blue Gene system in the Jülich Supercomputing Center. The talk will have two parts, the first one reporting on our Hierarchical Hybrid Grid method, a prototype Finite Element Multigrid Solver scaling up to a trillion (10^12) degrees ...