Block-level domain decomposition with WaveHoltz subdomain solver on NVIDIA A100 GPUs delivers 2x-25x speedup over MINRES for the Helmholtz equation, plus further 2x-10x gains in single precision.
A coarse space for heterogeneous helmholtz problems based on the dirichlet-to-neumann operator,
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This survey distills theoretical insights and practical design principles for domain decomposition methods as preconditioners, emphasizing robust coarse spaces and high-performance computing implementations.
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Efficient Domain Decomposition for the Helmholtz Equation on GPUs
Block-level domain decomposition with WaveHoltz subdomain solver on NVIDIA A100 GPUs delivers 2x-25x speedup over MINRES for the Helmholtz equation, plus further 2x-10x gains in single precision.