Solutions to the transport equation using variable order angular basis

Stephen Wright; Martin Schweiger; Simon R. Arridge

doi:10.1117/12.632870

7 October 2005 Solutions to the transport equation using variable order angular basis

Stephen Wright, Martin Schweiger, Simon R. Arridge

Proceedings Volume 5859, Photon Migration and Diffuse-Light Imaging II; 585914 (2005) https://doi.org/10.1117/12.632870
Event: European Conferences on Biomedical Optics 2005, 2005, Munich, Germany

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.

Citation Download Citation

Stephen Wright, Martin Schweiger, and Simon R. Arridge "Solutions to the transport equation using variable order angular basis", Proc. SPIE 5859, Photon Migration and Diffuse-Light Imaging II, 585914 (7 October 2005); https://doi.org/10.1117/12.632870

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