On the coupling of DPG and BEM

Führer, Thomas; Heuer, Norbert; Karkulik, Michael

doi:10.1090/mcom/3170

On the coupling of DPG and BEM
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by Thomas Führer, Norbert Heuer and Michael Karkulik PDF

Math. Comp. 86 (2017), 2261-2284 Request permission

Abstract:

We develop and analyze strategies to couple the discontinuous Petrov-Galerkin method with optimal test functions to (i) least-squares boundary elements and (ii) various variants of standard Galerkin boundary elements. An essential feature of our method is that, despite the use of boundary integral equations, optimal test functions have to be computed only locally. We apply our findings to a standard transmission problem in full space and present numerical experiments to validate our theory.

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