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math.NA2022★ 3 cited
Numerical assessment of PML transmission conditions in a domain decomposition method for the Helmholtz equation
Niall Bootland, Sahar Borzooei, Victorita Dolean +1
The convergence rate of domain decomposition methods (DDMs) strongly depends on the transmission condition at the interfaces between subdomains. Thus, an important aspect in improv…
math.NA2022
Can DtN and GenEO coarse spaces be sufficiently robust for heterogeneous Helmholtz problems?
Niall Bootland, Victorita Dolean
Numerical solution of heterogeneous Helmholtz problems presents various computational challenges, with descriptive theory remaining out of reach for many popular approaches. Robust…