Inverse estimates for elliptic boundary integral operators and their application to the adaptive coupling of FEM and BEM
classification
🧮 math.NA
keywords
boundaryestimatescouplingelementintegralmethodoperatorsadaptive
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We prove inverse-type estimates for the four classical boundary integral operators associated with the Laplace operator. These estimates are used to show convergence of an h-adaptive algorithm for the coupling of a finite element method with a boundary element method which is driven by a weighted residual error estimator.
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