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Matrix-Free Parallel Scalable Multilevel Deflation Preconditioning for Heterogeneous Time-Harmonic Wave Problems
Jinqiang Chen, Vandana Dwarka, Cornelis Vuik
We present a matrix-free parallel scalable multilevel deflation preconditioned method for heterogeneous time-harmonic wave problems. Building on the higher-order deflation precondi…
Coarse Spaces Based on Higher-Order Interpolation for Schwarz Preconditioners for Helmholtz Problems
Erik Sieburgh, Alexander Heinlein, Vandana Dwarka +1
The development of scalable and wavenumber-robust iterative solvers for Helmholtz problems is challenging but also relevant for various application fields. In this work, two-level…
A short report on preconditioned Anderson acceleration method
Kewang Chen, Ye Ji, Matthias Möller +1
In this report, we present a versatile and efficient preconditioned Anderson acceleration (PAA) method for fixed-point iterations. The proposed framework offers flexibility in bala…
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…
A comparison of Krylov methods for Shifted Skew-Symmetric Systems
R. Idema, C. Vuik
It is well known that for general linear systems, only optimal Krylov methods with long recurrences exist. For special classes of linear systems it is possible to find optimal Kryl…