Discontinuous Galerkin method for the forward modelling in optical diffusion tomography

Mohan P.S.; Soloviev V.Y.; Arridge S.R.

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Discontinuous Galerkin method for the forward modelling in optical diffusion tomography

机译：不连续Galerkin方法在光学扩散层析成像中的正演模拟

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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.

机译：我们提出了一种不连续的Galerkin离散化方案，用于在高度散射介质中的光学扩散层析成像中进行正向建模，以促进对复杂域的动态网格自适应。此外，数值方法还显示出可以有效处理光学特性的不均匀性和材料界面处的折射率不匹配。在模型同心球形层问题上证明了该方法的准确性，其中将不连续的Galerkin方法与解析解决方案进行了比较。

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《International Journal for Numerical Methods in Engineering》 |2011年第5期|共13页
作者
Mohan P.S.; Soloviev V.Y.; Arridge S.R.;
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正文语种 eng
中图分类工程数学;
关键词
Discontinuous Galerkin method; Finite element method; Galerkin projection; Optical diffusion tomography;

机译：间断Galerkin方法;有限元方法;Galerkin投影;光学扩散层析成像;

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1. Discontinuous Galerkin method for the forward modelling in optical diffusion tomography [J] . Mohan P.S., Soloviev V.Y., Arridge S.R. International Journal for Numerical Methods in Engineering . 2011,第5期

机译：不连续Galerkin方法在光学扩散层析成像中的正演模拟
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Discontinuous Galerkin method for the forward modelling in optical diffusion tomography

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