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Titlebook: Numerical Methods in Multidimensional Radiative Transfer; Guido Kanschat,Erik Meinköhn,Rainer Wehrse Conference proceedings 2009 Springer-

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书目名称Numerical Methods in Multidimensional Radiative Transfer
编辑Guido Kanschat,Erik Meinköhn,Rainer Wehrse
视频videohttp://file.papertrans.cn/670/669120/669120.mp4
概述Includes supplementary material:
图书封面Titlebook: Numerical Methods in Multidimensional Radiative Transfer;  Guido Kanschat,Erik Meinköhn,Rainer Wehrse Conference proceedings 2009 Springer-
描述Traditionally, radiative transfer has been the domain of astrophysicists and climatologists. In nuclear technology one has been dealing with the ana- gous equations of neutron transport. In recent years, applications of radiative transferincombustionmachinedesignandinmedicinebecamemoreandmore important. In all these disciplines one uses the radiative transfer equation to model the formation of the radiation ?eld and its propagation. For slabs and spheres e?ective algorithms for the solution of the transfer equation have been ava- able for quite some time. In addition, the analysis of the equation is quite well developed. Unfortunately, in many modern applications the approximation of a 1D geometry is no longer adequate and one has to consider the full 3D dependencies. This makes the modeling immensely more intricate. The main reasons for the di?culties result from the fact that not only the dimension of the geometric space has to be increased but one also has to employ two angle variables (instead of one) and very often one has to consider frequency coupling (due to motion or redistribution in spectral lines). In actual cal- lations this leads to extremely large matrices which, in
出版日期Conference proceedings 2009
关键词Climatology; Simulation; finite element method; model; modeling; numerical analysis; physics; radiation fie
版次1
doihttps://doi.org/10.1007/978-3-540-85369-5
isbn_softcover978-3-540-85368-8
isbn_ebook978-3-540-85369-5
copyrightSpringer-Verlag Berlin Heidelberg 2009
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978-3-540-85368-8Springer-Verlag Berlin Heidelberg 2009
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Solution of Radiative Transfer Problems with Finite Elements,inite element discretizations for the integral operator in the angular variable and the transport operator in space are discussed. Adaptive algorithms and error estimates are explained. The structure of the resulting discrete linear system is analyzed and solution methods are suggested.
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Stephen Wright,Simon Arridge,Martin Schweigerehension of the most important statements included in this book needs only a very elementary background in algebra, ideal theory and general topology. In order to emphasize the elementary character of our treatment, we have recalled several well known definitions and, sometimes, even the proofs of the first p978-3-642-88503-7978-3-642-88501-3
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