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Asymptotic‐Induced Domain Decomposition Methods for Kinetic Equations with the Diffusion Scaling
Author(s) -
Klar Axel
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19980781557
Subject(s) - radiative transfer , diffusion , domain decomposition methods , scaling , domain (mathematical analysis) , kinetic energy , diffusion equation , heavy traffic approximation , diffusion process , coupling (piping) , decomposition , thermodynamics , statistical physics , physics , mechanics , mathematical analysis , materials science , mathematics , chemistry , classical mechanics , computer science , optics , geometry , knowledge management , innovation diffusion , metallurgy , statistics , organic chemistry , finite element method , economy , service (business) , economics
This paper deals with domain decomposition methods for kinetic and diffusion‐type macroscopic equations. As an example the radiative transfer case is treated. We consider radiative transfer equations coupled with a temperature equation. Using asymptotic analysis accurate coupling conditions at the interface between the kinetic and diffusion domain are developed. Moreover, the results of the simulation of a glass cooling process are shortly described.