A posteriori error control in radiative transfer |
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Authors: | C Führer G Kanschat |
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Affiliation: | 1. Sonderforschungsbereich 359, Universit?t Heidelberg, INF 294, 69120, Heidelberg, Germany
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Abstract: | This note introduces a finite element approach for a radiative transfer model equation which allows for a posteriori error control and thus opens up the way for adaptive grid refinement strategies. Apart from a posteriori error estimates for the mean intensity, we demonstrate corresponding results for the intensity and compare our error estimators with a new, simple and rather promising error indicator for hyperbolic problems. We specifically emphasize that our ‘pure’ finite element technique is equivalent to the well-established discrete ordinates method favored by many users. |
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