An adaptive variable order quadrature strategy

Houston, Paul; Wihler, Thomas P. (2017). An adaptive variable order quadrature strategy. In: Bittencourt, Marco L.; Dumont, Ney A.; Hesthaven, Jan S. (eds.) Spectral and high order methods for partial differential equations. Lecture Notes in Computational Science and Engineering: Vol. 119 (pp. 533-545). Cham: Springer 10.1007/978-3-319-65870-4_38

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We propose a new adaptive numerical quadrature procedure which includes both local subdivision of the integration domain, as well as local variation of the number of quadrature points employed on each subinterval. In this way we aim to account for local smoothness properties of the integrand as effectively as possible, and thereby achieve highly accurate results in a very efficient manner. Indeed, this idea originates from so-called hp-version finite element methods which are known to deliver high-order convergence rates, even for nonsmooth functions.

Item Type:

Book Section (Book Chapter)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Wihler, Thomas

Subjects:

500 Science > 510 Mathematics

ISSN:

1439-7358

ISBN:

978-3-642-15336-5

Series:

Lecture Notes in Computational Science and Engineering

Publisher:

Springer

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

19 Sep 2019 08:51

Last Modified:

04 Nov 2019 03:34

Publisher DOI:

10.1007/978-3-319-65870-4_38

BORIS DOI:

10.7892/boris.125541

URI:

https://boris.unibe.ch/id/eprint/125541

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