A DRBEM model for microwave heating problems
type: Item
instance of: scholarly article
title: A DRBEM model for microwave heating problems
zbMATH Open document ID: 0836.65141
DOI: 10.1016/0307-904X(94)00036-6
author: Yinglong Zhang
author: Tim R. Marchant
author: Song-Ping Zhu
published in: Applied Mathematical Modelling
publication date: 1996-04-29T00:00:00Z
review text: The paper deals with the model equation \(T_t = \Delta T + \gamma(T) |E|^2\), where \(T\) is the temperature, \(\gamma (T)\) the thermal absorptivity, and \(|E|\) the amplitude of the electric field, which is supposed to depend exponentially on the spatial variables (in two or three dimensions). The discretization is done by means of a variant of the boundary element method, called the dual reciprocity boundary element method (DRBEM). The results of various numerical experiments (but no mathematical theorems) are presented.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35Q60
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 78A55
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 811397
zbMATH Keywords: microwave heating problems
zbMATH Keywords: hot spots
zbMATH Keywords: dual reciprocity boundary element method
zbMATH Keywords: numerical experiments
reviewed by: Hanna Marcinkowska
MaRDI profile type: Publication
cites work: Q3328899
cites work: A formulation of the boundary element method for axisymmetric transient heat conduction
cites work: Computer implementation of the BEM dual reciprocity method for the solution of general field equations
cites work: Formulation of model equations for heating by microwave radiation
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cites work: Interpolation of scattered data: distance matrices and conditionally positive definite functions
cites work: Microwave heating of materials with impurities
cites work: Solution of the Helmholtz eigenvalue problem via the boundary element method
cites work: Q4728091
cites work: On the microwave hotspot problem
full work available at URL: 0307-904x(94)00036-6
OpenAlex ID: W1977916289
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description: scientific article; zbMATH DE number 811397