A unified algorithm for the selection of collocation stencils for convex, concave and singular problems

Jacquemin, Thibault and Bordas, Stéphane P. A. ORCID: https://orcid.org/0000-0001-8634-7002 2021. A unified algorithm for the selection of collocation stencils for convex, concave and singular problems. International Journal for Numerical Methods in Engineering 122 (16) , pp. 4292-4312. 10.1002/nme.6703

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Abstract

We introduce in this paper a unified algorithm which allows the selection of collocation stencils, based on the visibility criterion, for convex, concave and singular problems solved using a collocation method. The algorithm can be applied to any 2D or 3D problem. We show the importance of using a threshold angle, in conjunction with the visibility criterion, to assess of the inclusion of a node in the support of a collocation center. We also show how the algorithm can be used to assess the presence of a node in a defined domain. Such algorithm is particularly useful in the context of model refinement.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	John Wiley and Sons
ISSN:	0029-5981
Date of First Compliant Deposit:	20 August 2021
Date of Acceptance:	15 April 2021
Last Modified:	04 May 2023 23:11
URI:	https://orca.cardiff.ac.uk/id/eprint/141777

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