A mixed variational framework for the radiative transfer equation (Q2893177)
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scientific article; zbMATH DE number 6049980
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A mixed variational framework for the radiative transfer equation |
scientific article; zbMATH DE number 6049980 |
Statements
26 June 2012
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radiative transfer equation
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mixed variational methods
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Galerkin methods
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spherical harmonics
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weak and strong solutions
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finite element
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stability
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quasi-optimal error estimates
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A mixed variational framework for the radiative transfer equation (English)
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The paper is concerned with presenting a variational framework for the analysis and discretisaton of the radiative transfer equation. Results are provided on weak and strong solutions and a range of numerical methods is considered with particular focus on approximation using Galerkin methods and a finite element example.NEWLINENEWLINEThe main contributions of the work, apart from the proposed variational framework, are the derivation of simple conditions for stability and quasi-optimal error estimates for Galerkin approximations, and a rigorous derivation of a second order form of the radiative transfer equation.
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