Introduces and analyzes the Δ_k-GenEO coarse space for Helmholtz problems, sharpening k-explicit GMRES convergence conditions and demonstrating scalability and robustness for low to moderate frequencies via numerical experiments.
Geophysics (2022)
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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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A Guided Tour of Modern Domain Decomposition: From Schwarz Iterations to Robust Preconditioners and HPC Implementations
This survey distills theoretical insights and practical design principles for domain decomposition methods as preconditioners, emphasizing robust coarse spaces and high-performance computing implementations.