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Article: Integral equation methods for electromagnetic and elastic waves

TitleIntegral equation methods for electromagnetic and elastic waves
Authors
KeywordsComputational Electromagnetics
Dyadic Green's Function
Elastic Waves
Electromagnetic Waves
Energy Conservation Theorem
Fast Inhomogeneous Plane Wave Algorithm
Integral Equations
Linear Vector Spaces
Low-Frequency Problems
Issue Date2008
Citation
Synthesis Lectures On Computational Electromagnetics, 2008, v. 12, p. 1-256 How to Cite?
AbstractIntegral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Copyright © 2008 by Morgan & Claypool.
Persistent Identifierhttp://hdl.handle.net/10722/182752
ISSN
2015 SCImago Journal Rankings: 0.105
References

 

DC FieldValueLanguage
dc.contributor.authorChew, WCen_US
dc.contributor.authorTong, MSen_US
dc.contributor.authorHu, Ben_US
dc.date.accessioned2013-05-02T05:16:42Z-
dc.date.available2013-05-02T05:16:42Z-
dc.date.issued2008en_US
dc.identifier.citationSynthesis Lectures On Computational Electromagnetics, 2008, v. 12, p. 1-256en_US
dc.identifier.issn1932-1252en_US
dc.identifier.urihttp://hdl.handle.net/10722/182752-
dc.description.abstractIntegral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Copyright © 2008 by Morgan & Claypool.en_US
dc.languageengen_US
dc.relation.ispartofSynthesis Lectures on Computational Electromagneticsen_US
dc.subjectComputational Electromagneticsen_US
dc.subjectDyadic Green's Functionen_US
dc.subjectElastic Wavesen_US
dc.subjectElectromagnetic Wavesen_US
dc.subjectEnergy Conservation Theoremen_US
dc.subjectFast Inhomogeneous Plane Wave Algorithmen_US
dc.subjectIntegral Equationsen_US
dc.subjectLinear Vector Spacesen_US
dc.subjectLow-Frequency Problemsen_US
dc.titleIntegral equation methods for electromagnetic and elastic wavesen_US
dc.typeArticleen_US
dc.identifier.emailChew, WC: wcchew@hku.hken_US
dc.identifier.authorityChew, WC=rp00656en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.2200/S00102ED1V01Y200807CEM012en_US
dc.identifier.scopuseid_2-s2.0-50549089825en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-50549089825&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume12en_US
dc.identifier.spage1en_US
dc.identifier.epage256en_US
dc.identifier.scopusauthoridChew, WC=36014436300en_US
dc.identifier.scopusauthoridTong, MS=11839685700en_US
dc.identifier.scopusauthoridHu, B=51963886700en_US

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