On sinc quadrature approximations of fractional powers of regularly accretive operators
Andrea Bonito, Wenyu Lei, Joseph E. Pasciak
Source record
Source: Crossref
Published: Jun 26, 2019
DOI: 10.1515/jnma-2017-0116
Open original source ↗Source abstract
Abstract We consider the finite element approximation of fractional powers of regularly accretive operators via the Dunford–Taylor integral approach. We use a sinc quadrature scheme to approximate the Balakrishnan representation of the negative powers of the operator as well as its finite element approximation. We improve the exponentially convergent error estimates from [A. Bonito and J. E. Pasciak, IMA J. Numer. Anal ., 37 (2016), No. 3, 1245–1273] by reducing the regularity required on the data. Numerical experiments illustrating the new theory are provided.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.