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math.NA2023
Stand-alone Multigrid for Helmholtz Revisited: Towards Convergence Using Standard Components
Vandana Dwarka, Cornelis Vuik
Getting standard multigrid to work efficiently for the high-frequency Helmholtz equation has been an open problem in applied mathematics for years. Much effort has been dedicated t…
math.NA2023★ 1 cited
A matrix-free parallel two-level deflation preconditioner for the two-dimensional Helmholtz problems
Jinqiang Chen, Vandana Dwarka, Cornelis Vuik
We propose a matrix-free parallel two-level-deflation preconditioner combined with the Complex Shifted Laplacian preconditioner(CSLP) for the two-dimensional Helmholtz problems. Th…
math.NA2023★ 2 cited
A matrix-free parallel solution method for the three-dimensional heterogeneous Helmholtz equation
Jinqiang Chen, Vandana Dwarka, Cornelis Vuik
The Helmholtz equation is related to seismic exploration, sonar, antennas, and medical imaging applications. It is one of the most challenging problems to solve in terms of accurac…