A massively parallel adaptive finite element method with dynamic load balancing
- Rensselaer Polytechnic Institute, Troy, NY (United States). Dept. of Computer Science
- Sandia National Labs., Albuquerque, NM (United States). Massively Parallel Computing Research Lab.
- Univ. of New Mexico, Albuquerque, NM (United States). Dept. of Computer Science
The authors construct massively parallel adaptive finite element methods for the solution of hyperbolic conservation laws. Spatial discretization is performed by a discontinuous Galerkin finite element method using a basis of piecewise Legendre polynomials. Temporal discretization utilizes a Runge-Kutta method. Dissipative fluxes and projection limiting prevent oscillations near solution discontinuities. The resulting method is of high order and may be parallelized efficiently on MIMD computers. They demonstrate parallel efficiency through computations on a 1024-processor nCUBE/2 hypercube. They present results using adaptive p-refinement to reduce the computational cost of the method, and tiling, a dynamic, element-based data migration system that maintains global load balance of the adaptive method by overlapping neighborhoods of processors that each perform local balancing.
- Research Organization:
- Sandia National Laboratories (SNL), Albuquerque, NM, and Livermore, CA (United States)
- DOE Contract Number:
- AC04-76DP00789
- OSTI ID:
- 46201
- Report Number(s):
- CONF-931115-; TRN: IM9522%%202
- Resource Relation:
- Conference: Supercomputing conference on high performance computing and communications, Portland, OR (United States), 15-19 Nov 1993; Other Information: PBD: 1993; Related Information: Is Part Of Supercomputing `93: Proceedings; PB: 961 p.
- Country of Publication:
- United States
- Language:
- English
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