Caccioppoli-type estimates and ℋ-Matrix approximations to inverses for FEM-BEM couplings
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We consider three different methods for the coupling of the finite element method and the boundary element method, the Bielak-MacCamy coupling, the symmetric coupling, and the Johnson-Nédélec coupling. For each coupling we provide discrete interior regularity estimates. As a consequence, we are able to prove the existence of exponentially convergent ℋ-matrix approximants to the inverse matrices corresponding to the lowest order Galerkin discretizations of the couplings.
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