The saturation assumption yields optimal convergence of two-level adaptive BEM
Praetorius, Dirk and Ruggeri, Michele and Stephan, Ernst P. (2020) The saturation assumption yields optimal convergence of two-level adaptive BEM. Applied Numerical Mathematics, 152. pp. 105-124. ISSN 0168-9274 (https://doi.org/10.1016/j.apnum.2020.01.014)
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Abstract
We consider the convergence of adaptive BEM for weakly-singular and hypersingular integral equations associated with the Laplacian and the Helmholtz operator in 2D and 3D. The local mesh-refinement is driven by some two-level error estimator. We show that the adaptive algorithm drives the underlying error estimates to zero. Moreover, we prove that the saturation assumption already implies linear convergence of the error with optimal algebraic rates.
ORCID iDs
Praetorius, Dirk, Ruggeri, Michele ORCID: https://orcid.org/0000-0001-6213-1602 and Stephan, Ernst P.;-
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Item type: Article ID code: 80811 Dates: DateEvent30 June 2020Published20 February 2020Published Online16 January 2020AcceptedSubjects: Science > Mathematics > Electronic computers. Computer science Department: Faculty of Science > Mathematics and Statistics Depositing user: Pure Administrator Date deposited: 19 May 2022 09:20 Last modified: 11 Nov 2024 13:28 URI: https://strathprints.strath.ac.uk/id/eprint/80811
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