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

Jacquemin, Thibault and Bordas, Stéphane P. A. 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: 03 Aug 2022 01:23
URI: https://orca.cardiff.ac.uk/id/eprint/141777

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