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- W2050871234 abstract "In this paper we show in the two-dimensional case that the Aronszajn-Slobodeckij norm ∥.∥Hs(Γ) (given by a double integral for a non-integer s ∈ R>0 N) is localizable for special functions. Based on this result, we introduce new local a posteriori error indicators for the Galerkin discretization of boundary integral equations. The error indicators are efficient and reliable for a wide class of integral operators, in particular for operators of negative order. Neither inverse estimates nor saturation properties are needed for the proof of efficiency or reliability. The error indicators are based on local norms of the computable residual and can be used for controlling the adaptive refinement. Numerical examples confirm the theoretical results." @default.
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- W2050871234 date "2000-04-01" @default.
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- W2050871234 title "Localization of the Aronszajn-Slobodeckij norm and application to adaptive boundary elements methods. Part I. The two-dimensional case" @default.
- W2050871234 doi "https://doi.org/10.1093/imanum/20.2.203" @default.
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