Variable order spherical harmonic expansion scheme for the radiative transport equation using finite elements

DOI10.1016/j.jcp.2011.06.004zbMath1252.65215OpenAlexW1968550356MaRDI QIDQ655059

Tanja Tarvainen, Martin Schweiger, P. Surya Mohan, Aki Pulkkinen, Simon R. Arridge

Publication date: 28 December 2011

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.06.004

zbMATH Keywords

comparison of methodsfinite element methodnumerical examplesMonte Carlo simulationsradiative transport equationoptical tomography\(P_{N}\) approximationspherical harmonic expansionvariable order \(P_{N}\)

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Biomedical imaging and signal processing (92C55) Nuclear reactor theory; neutron transport (82D75)

Related Items

Hybrid finite element/multipole expansion method for atomic Kohn-Sham density functional theory calculations ⋮ A pseudospectral method for solution of the radiative transport equation ⋮ A weak Galerkin finite element method for a type of fourth order problem arising from fluorescence tomography ⋮ Finite element approximation of the radiative transport equation in a medium with piece-wise constant refractive index

Uses Software

• FEAPpv

Cites Work

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