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Domain decomposition preconditioning for the Helmholtz equation : a coarse space based on local Dirichlet-to-Neumann maps

Conen, Lea ; Krause, Rolf (Dir.)

Thèse de doctorat : Università della Svizzera italiana, 2015 ; 2015INFO001.

In this thesis, we present a two-level domain decomposition method for the iterative solution of the heterogeneous Helmholtz equation. The Helmholtz equation governs wave propagation and scattering phenomena arising in a wide range of engineering applications. Its discretization with piecewise linear finite elements results in typically large, ill-conditioned, indefinite, and non- Hermitian...