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A residual-based error formula for a class of transport equations

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2003

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Unterreiter, Andreas
Zingsheim, Frank

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http://nbn-resolving.de/urn:nbn:de:bsz:352-254235
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https://doi.org/10.1017/S0956792502004941
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European Journal of Applied Mathematics. 2003, 14(2), pp. 181-200. ISSN 0956-7925. eISSN 1469-4425. Available under: doi: 10.1017/S0956792502004941

Zusammenfassung

We present an exact residual based error formula in natural norms for a class of transport equations. The derivation of the error formula relies on an abstract formulation in a general Hilbert space setting. The key role is played by the validity of an inversion formula. Its verification is for particular radiative transfer equations equivalent to the identification of strong and weak traces. The residual based error formula can be used in the design of efficient and accurate simulations of the cooling process of high quality glass [5].

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510 Mathematik

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ISO 690JUNK, Michael, Andreas UNTERREITER, Frank ZINGSHEIM, 2003. A residual-based error formula for a class of transport equations. In: European Journal of Applied Mathematics. 2003, 14(2), pp. 181-200. ISSN 0956-7925. eISSN 1469-4425. Available under: doi: 10.1017/S0956792502004941
BibTex
@article{Junk2003resid-25423,
  year={2003},
  doi={10.1017/S0956792502004941},
  title={A residual-based error formula for a class of transport equations},
  number={2},
  volume={14},
  issn={0956-7925},
  journal={European Journal of Applied Mathematics},
  pages={181--200},
  author={Junk, Michael and Unterreiter, Andreas and Zingsheim, Frank}
}
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