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Discontinuous Galerkin method for the forward modelling in optical diffusion tomography
Author(s) -
Mohan P. Surya,
Soloviev Vadim Y.,
Arridge Simon R.
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2974
Subject(s) - discretization , discontinuous galerkin method , galerkin method , diffusion , optical tomography , diffuse optical imaging , scheme (mathematics) , mathematics , refractive index , mathematical analysis , computer science , tomography , optics , physics , finite element method , thermodynamics
We propose a discontinuous Galerkin discretization scheme for the forward modelling in optical diffusion tomography in highly scattering media to facilitate dynamic mesh adaptation for complex domains. In addition, the numerical method is also shown to effectively deal with inhomogeneities in optical properties and refractive index mismatch at material interfaces. The accuracy of the method is demonstrated over a model concentric spherical layers problem where the discontinuous Galerkin method is compared against an analytical solution. Copyright © 2010 John Wiley & Sons, Ltd.