Recurrence relations for a family of orthogonal polynomials on a triangle
File(s)UltraSLikeRelations_revision2.pdf (187.42 KB)
Accepted version
Author(s)
Olver, S
Townsend, A
Vasil, G
Type
Conference Paper
Abstract
This paper derives sparse recurrence relations between orthogonal polynomials on a triangle and their partialderivatives, which are analogous to recurrence relations for Jacobi polynomials. We derive these recurrences in asystematic fashion by introducing ladder operators that map an orthogonal polynomial to another by incrementingor decrementing its associated parameters by one. We apply the results to efficiently calculating the Laplacian ofpolynomial approximations of functions on the triangle, using polynomial degrees in the thousands, i.e., millions ofdegrees of freedom.
Date Issued
2018-07-09
Date Acceptance
2019-04-05
ISSN
1439-7358
Publisher
Springer Verlag
Journal / Book Title
Lecture Notes in Computational Science and Engineering
Source
ICOSAHOM 2018
Publication Status
Accepted
Start Date
2018-07-09
Finish Date
2018-07-13
Coverage Spatial
London, UK