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Proceedings Paper

Solutions to the transport equation using variable order angular basis
Author(s): Stephen Wright; Martin Schweiger; Simon R. Arridge
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Paper Abstract

In this paper the solution to the transport equation will be considered using the Pn Method. Although this technique has been applied to two and three dimensional problems it can be computationally expensive when a high order of approximation is required for convergence of the problem. In this paper results will be presented that indicate a potential solution to this problem by utilising an adaptive Pn approach where the order of angular basis is varied according to the local complexity of the domain. This substantially reduces the computational cost of assembly and solution of the linear system. Results for a two-dimensional circular test problem are presented and compared to a standard solution with uniform order of angular basis.

Paper Details

Date Published: 7 October 2005
PDF: 8 pages
Proc. SPIE 5859, Photon Migration and Diffuse-Light Imaging II, 585914 (7 October 2005); doi: 10.1117/12.632870
Show Author Affiliations
Stephen Wright, Univ. College London (United Kingdom)
Martin Schweiger, Univ. College London (United Kingdom)
Simon R. Arridge, Univ. College London (United Kingdom)

Published in SPIE Proceedings Vol. 5859:
Photon Migration and Diffuse-Light Imaging II
Kai Licha; Rinaldo Cubeddu, Editor(s)

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