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Publication Detail
Solutions to the transport equation using variable order angular basis
  • Publication Type:
    Conference
  • Authors:
    Wright S, Schweiger M, Arridge SR
  • Publication date:
    19/12/2005
  • Pagination:
    1, 8
  • Published proceedings:
    Progress in Biomedical Optics and Imaging - Proceedings of SPIE
  • Volume:
    5859
  • Status:
    Published
  • Print ISSN:
    1605-7422
Abstract
In this paper the solution to the Radiative Transfer 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. © 2005 SPIE and OSA.
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