5 papers
Comparing domain decomposition preconditioners for non-conforming Helmholtz discretizations
Moritz Gallauner, Emile Parolin, Paul Stocker +1
We compare additive and multiplicative domain decomposition preconditioners, without coarse correction, for three non-conforming polynomial discretizations of Helmholtz problems: d…
Trefftz methods with evanescent plane waves
Andrea Moiola, Nicola Galante, Emile Parolin
Classical Trefftz methods approximate Helmholtz solutions using propagative plane waves and are subject to strong numerical instabilities. Evanescent plane wave bases can substanti…
Coarse spaces using extended generalized eigenproblems for heterogeneous Helmholtz problems
Emile Parolin, Frédéric Nataf
An abstract construction of coarse spaces for non-Hermitian problems and non-Hermitian domain decomposition preconditioners based on extended generalized eigenproblems was proposed…
Achieving wavenumber robustness in domain decomposition for heterogeneous Helmholtz equation: an overview of spectral coarse spaces
Victorita Dolean, Mark Fry, Matthias Langer +2
Solving time-harmonic wave propagation problems in the frequency domain within heterogeneous media poses significant mathematical and computational challenges, particularly in the…
Coarse spaces for non-symmetric two-level preconditioners based on local extended generalized eigenproblems
Frédéric Nataf, Emile Parolin
Domain decomposition (DD) methods are a natural way to take advantage of parallel computers when solving large scale linear systems. Their scalability depends on the design of the…