20170223
To date, there is a large literature on nonoverlapping domain decomposition (DD) methods for acoustic and electromagnetic wave problems. For some of these methods, the domain decomposition is tightly coupled to the formulation and makes it difficult to understand.
In this talk (based on joint work with Timo Euler, CST AG), we develop a unified DD framework based on fundamental linear algebra and functional analysis. Reinterpreting existing methods in the resulting language clearly shows their similarities and differences. In particular, FETItype methods, optimized Schwarz, hybridized discontinuous Galerkin (HDG) methods, and multitrace formulations are considered.
We also present an alternative derivation based on Love's surface equivalence principle, which is widely used in the electromagnetic community and at the same time closely connected to boundary integral equations.
Category: CE SeminarTechnische Universität Darmstadt
Graduate School CE
Dolivostraße 15
D64293 Darmstadt

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