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Chen, J. (author), Dwarka, V.N.S.R. (author), Vuik, Cornelis (author)We present a matrix-free parallel iterative solver for the Helmholtz equation related to applications in seismic problems and study its parallel performance. We apply Krylov subspace methods, GMRES, Bi-CGSTAB and IDR(s), to solve the linear system obtained from a second-order finite difference discretization. The Complex Shifted Laplace...conference paper 2024
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Bootland, N. (author), Dwarka, V.N.S.R. (author), Jolivet, P. (author), Dolean, V. (author), Vuik, Cornelis (author)In recent years, domain decomposition based preconditioners have become popular tools to solve the Helmholtz equation. Notorious for causing a variety of convergence issues, the Helmholtz equation remains a challenging PDE to solve numerically. Even for simple model problems, the resulting linear system after discretisation becomes indefinite...conference paper 2022