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Parallel domain-decomposed preconditioners in finite element shallow water flow modeling. (English) Zbl 0818.76038
Keyes, David E. (ed.) et al., Domain decomposition methods in scientific and engineering computing. Proceedings of the 7th international conference on domain decomposition, October 27-30, 1993, Pennsylvania State University, PA, USA. Providence, RI: American Mathematical Society. Contemp. Math. 180, 471-476 (1994).
Three types of domain-decomposed preconditioners are employed to accelerate, with right preconditioning, the convergence of several competitive non-symmetric linear iterative solvers. The resulting algorithms are parallelized at both the subroutine level to accommodate the subdomain by subdomain computation and at the loop level to exploit the parallelism of the finite element discretization. The implementations were carried out on the parallel vector supercomputer CRAY Y-MP/432.
For the entire collection see [Zbl 0809.00026].
MSC:
76M10 Finite element methods applied to problems in fluid mechanics
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
65Y05 Parallel numerical computation
86A05 Hydrology, hydrography, oceanography
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