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

Junk, Michael; Unterreiter, Andreas; Zingsheim, Frank

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

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Date

2003

Authors

Junk, Michael

Unterreiter, Andreas

Zingsheim, Frank

Publication type

Journal article

Published in

European Journal of Applied Mathematics ; 14 (2003), 2. - pp. 181-200. - ISSN 0956-7925. - eISSN 1469-4425

Abstract

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].

Subject (DDC)

510 Mathematics

Cite This

ISO 690

JUNK, Michael, Andreas UNTERREITER, Frank ZINGSHEIM, 2003. A residual-based error formula for a class of transport equations. In: European Journal of Applied Mathematics. 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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