R Eduction of Computing Time for Seismic Applications Based on the H Elmholtz Equation By
نویسندگان
چکیده
A Helmholtz equation in two dimensions discretized by a second-order finite difference scheme is considered. Krylov subspace methods such as Bi-CGSTAB and IDR(s) have been chosen as solvers. Since the convergence of the Krylov solvers deteriorates with increasing wave number, a shifted Laplacian multigrid preconditioner is used to improve the convergence. The implementation of the preconditioned solver on a CPU (Central Processing Unit) is compared to an implementation on a GPU (Graphics Processing Units or graphics card) using CUDA (Compute Unified Device Architecture). The results show that preconditioned Bi-CGSTAB on the GPU as well as preconditioned IDR(s) on the GPU are about 30 times faster than on the CPU for the same stopping criterion.
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