000			02879nam a22003375i 4500
001			91490
005			20240308105852.0
010			_a978-3-030-71127-6 _dcompra
090			_a91490
100			_a20231023d2021 k||y0pory50 ba
101	0		_aeng
102			_aCH _bCham
200	1		_aBoundary integral equations _bDocumento eletrónico _fGeorge C. Hsiao, Wolfgang L. Wendland
205			_a2nd ed.
210			_aCham _cSpringer International Publishing _d2021
215			_aXX, 783 p. _cil.
225	2		_aApplied Mathematical Sciences _vvol. 164
303			_aThis is the second edition of the book which has two additional new chapters on Maxwell's equations as well as a section on properties of solution spaces of Maxwell's equations and their trace spaces. These two new chapters, which summarize the most up-to-date results in the literature for the Maxwell's equations, are sufficient enough to serve as a self-contained introductory book on the modern mathematical theory of boundary integral equations in electromagnetics. The book now contains 12 chapters and is divided into two parts. The first six chapters present modern mathematical theory of boundary integral equations that arise in fundamental problems in continuum mechanics and electromagnetics based on the approach of variational formulations of the equations. The second six chapters present an introduction to basic classical theory of the pseudo-differential operators. The aforementioned corresponding boundary integral operators can now be recast as pseudo-differential operators. These serve as concrete examples that illustrate the basic ideas of how one may apply the theory of pseudo-differential operators and their calculus to obtain additional properties for the corresponding boundary integral operators. These two different approaches are complementary to each other. Both serve as the mathematical foundation of the boundary element methods, which have become extremely popular and efficient computational tools for boundary problems in applications. This book contains a wide spectrum of boundary integral equations arising in fundamental problems in continuum mechanics and electromagnetics. The book is a major scholarly contribution to the modern approaches of boundary integral equations, and should be accessible and useful to a large community of advanced graduate students and researchers in mathematics, physics, and engineering.
606			_aMathematics _xData processing
606			_aNumerical analysis
606			_aEngineering mathematics
606			_aEngineering _xData processing
606			_aMathematical analysis
680			_aQA71-90
700			_972445 _aHsiao _bGeorge C.
701			_942360 _aWendland _bWolfgang L. _4070
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-3-030-71127-6
942			_2lcc _cF _n0