Radiative transfer with finite elements
Open Access
- 15 December 2001
- journal article
- research article
- Published by EDP Sciences in Astronomy & Astrophysics
- Vol. 380 (2) , 776-788
Abstract
A finite element method for solving the monochromatic radiation transfer equation including scattering in three dimensions is presented. The algorithm employs unstructured grids which are adaptively refined. Adaptivity as well as ordinate parallelization reduce memory requirements and execution time and make it possible to calculate the radiation field across several length scales for objects with strong opacity gradients. An a posteriori error estimate for one particular quantity is obtained by solving the dual problem. The application to a sample of test problems reveals the properties of the implementation.Keywords
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