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Efficient Simulation of Glass Cooling Processes
Author(s) -
Junk M.,
A. Unterreiter,
Zingsheim F.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<1::aid-pamm1>3.0.co;2-e
Subject(s) - estimator , solver , hilbert space , mathematics , radiative transfer , inversion (geology) , gauss , computer science , mathematical optimization , algorithm , mathematical analysis , physics , optics , statistics , paleontology , structural basin , quantum mechanics , biology
A hybrid method for simulations of cooling processes of high quality glass is investigated. The hybrid algorithm relies on two solvers or the radiative transfer equation and on a global error estimator which allows for an optimal choice of the solver in each frequency band. The global error estimator is formulated in a general Hilbert space setting. Abstract formulations of a Gauss‐like integration‐by‐parts formula and its inversion are required.