Results 251 to 260 of about 17,549 (309)

A MIXED VARIATIONAL FRAMEWORK FOR THE RADIATIVE TRANSFER EQUATION

open access: yesMathematical Models and Methods in Applied Sciences, 2012
We present a rigorous variational framework for the analysis and discretization of the radiative transfer equation. Existence and uniqueness of weak solutions are established under rather general assumptions on the coefficients. Moreover, weak solutions are shown to be regular and hence also strong solutions of the radiative transfer equation.
Egger, Herbert, Schlottbom, Matthias
openaire   +3 more sources

An Efficient Solution Technique for the Radiative Transfer Equation

open access: yesIMPACT of Computing in Science and Engineering, 1993
The discretization of the multidimensional radiative transfer equation results in a very large linear system of equations. The standard solution method used by astrophysicists is a simplified fixed point iteration (called approximate \(\Lambda\)-iteration) which becomes slow for the problems most interesting in astrophysics.
Stefan Turek
openaire   +3 more sources

Refractive radiative transfer equation

ACM Transactions on Graphics, 2014
We introduce a refractive radiative transfer equation to the graphics community for the physically based rendering of participating media that have a spatially varying index of refraction. We review principles of geometric nonlinear optics that are crucial to discuss a more generic light transport equation.
Marco Ament   +2 more
openaire   +2 more sources

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