{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T14:03:54Z","timestamp":1774879434994,"version":"3.50.1"},"reference-count":44,"publisher":"Walter de Gruyter GmbH","issue":"2","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2019,6,26]]},"abstract":"<jats:title>Abstract<\/jats:title>\n<jats:p>We consider the finite element approximation of fractional powers of regularly accretive operators via the Dunford\u2013Taylor 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, <jats:italic>IMA J. Numer. Anal<\/jats:italic>., <jats:bold>37<\/jats:bold> (2016), No. 3, 1245\u20131273] by reducing the regularity required on the data. Numerical experiments illustrating the new theory are provided.<\/jats:p>","DOI":"10.1515\/jnma-2017-0116","type":"journal-article","created":{"date-parts":[[2018,3,20]],"date-time":"2018-03-20T16:10:32Z","timestamp":1521562232000},"page":"57-68","source":"Crossref","is-referenced-by-count":35,"title":["On sinc quadrature approximations of fractional powers of regularly accretive operators"],"prefix":"10.1515","volume":"27","author":[{"given":"Andrea","family":"Bonito","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenyu","family":"Lei","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Joseph E.","family":"Pasciak","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"374","reference":[{"key":"ref231","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1007\/s10688-013-0013-0","article-title":"Fractional powers of operators corresponding to coercive problems in Lipschitz domains","volume":"47","year":"2013","journal-title":"Funct. 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