ITLApplied  Computational Mathematics Division
ACMD Seminar Series
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Parallel Adaptive Multigrid Software for Elliptic PDEs and Eigenvalue Problems

William F. Mitchell

Tuesday, March 19, 2002 15:00-16:00,
Room 145, NIST North (820)
Tuesday, March 19, 2002 13:00-14:00,
Room 4550

Abstract: The solution of elliptic partial differential equations (PDEs) is the most time consuming part of the solution of mathematical models for many physical applications, such as fluid dynamics applications, electromagnetic propagation, and semiconductor device simulation. Over the years, much research has focused on the development of better methods to solve these problems. Currently, the fastest methods involve the use of adaptive grid refinement to concentrate the effort in the most important part of the physical domain, and multigrid solution methods that can solve the discretized system with an optimal number of operations. Recent research has explored approaches to implementing these methods on parallel computers. This talk describes an approach to parallelizing adaptive grid refinement and multigrid methods, and the design of an implementation in Fortran 90. These methods can also be applied to eigenvalue PDEs, with applications in quantum physics. Ongoing research in this field will be presented.
Contact: A. J. Kearsley

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