论文信息 - The Finite Element Method Applied to the Exterior Helmholtz Problem on the IBM SP-1

The Finite Element Method Applied to the Exterior Helmholtz Problem on the IBM SP-1

We have implemented a parallel iterative solver using the QMR-method for solving the complex, symmetric systems of linear equations arising from the FEM-formulation of the external Holmholtz-problem. Currently the system is operational on the IBM SP-1 and workstation clusters using PVM.

[1] Jack Dongarra,et al. Pvm 3 user's guide and reference manual , 1993 .

[2] Claes Johnson. Numerical solution of partial differential equations by the finite element method , 1988 .

[3] C. Goldstein,et al. The finite element method with non-uniform mesh sizes applied to the exterior Helmholtz problem , 1982 .

[4] R. Freund,et al. QMR: a quasi-minimal residual method for non-Hermitian linear systems , 1991 .

[5] Richard Barrett,et al. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods , 1994, Other Titles in Applied Mathematics.

[6] Roland W. Freund,et al. An Implementation of the QMR Method Based on Coupled Two-Term Recurrences , 1994, SIAM J. Sci. Comput..