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
We describe a highly flexible framework to solve 3D radiation transfer problems in scattering domina...
In the prescm work four different spatial numerical schemes have been developed with the aim of redu...
International audienceSolving the radiative transfer equation with the finite element method require...
A finite element method for solving the monochromatic radiation transfer equation including scatteri...
A finite element method for solving the monochromatic radiation transfer equation including scatteri...
Finite Difference and Finite Element algorithms for the solution of the radiative transfer equation ...
The discrete ordinate method coupled with the finite element method is often used for numerically so...
. The discretization of the multi--dimensional radiative transfer equation results in a very large l...
The discretization of the multi-dimensional radiative transfer equation results in a very large line...
Analytical and numerical solutions of the radiative transfer equation recently obtained in Heidelber...
A stabilized weak formulation of the radiative transfer equation is presented, which is stable indep...
International audienceDue to its integro-differential nature, deriving schemes for numerically solvi...
International audienceAn implicit mixed-finite element method has been developed for solving the dis...
In this paper we present stabilized finite element methods to discretize in space the monochromatic ...
abil hese app des ordi me e sp r: t 2010 Elsevier B.V. All rights reserved. ue to m on in p es or p...
We describe a highly flexible framework to solve 3D radiation transfer problems in scattering domina...
In the prescm work four different spatial numerical schemes have been developed with the aim of redu...
International audienceSolving the radiative transfer equation with the finite element method require...
A finite element method for solving the monochromatic radiation transfer equation including scatteri...
A finite element method for solving the monochromatic radiation transfer equation including scatteri...
Finite Difference and Finite Element algorithms for the solution of the radiative transfer equation ...
The discrete ordinate method coupled with the finite element method is often used for numerically so...
. The discretization of the multi--dimensional radiative transfer equation results in a very large l...
The discretization of the multi-dimensional radiative transfer equation results in a very large line...
Analytical and numerical solutions of the radiative transfer equation recently obtained in Heidelber...
A stabilized weak formulation of the radiative transfer equation is presented, which is stable indep...
International audienceDue to its integro-differential nature, deriving schemes for numerically solvi...
International audienceAn implicit mixed-finite element method has been developed for solving the dis...
In this paper we present stabilized finite element methods to discretize in space the monochromatic ...
abil hese app des ordi me e sp r: t 2010 Elsevier B.V. All rights reserved. ue to m on in p es or p...
We describe a highly flexible framework to solve 3D radiation transfer problems in scattering domina...
In the prescm work four different spatial numerical schemes have been developed with the aim of redu...
International audienceSolving the radiative transfer equation with the finite element method require...