000 03504nam a22004695i 4500
001 978-94-91216-27-5
003 DE-He213
005 20160302170415.0
007 cr nn 008mamaa
008 120301s2010 fr | s |||| 0|eng d
020 _a9789491216275
_9978-94-91216-27-5
024 7 _a10.2991/978-94-91216-27-5
_2doi
050 4 _aQA329-329.9
072 7 _aPBKF
_2bicssc
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.724
_223
100 1 _aChen, Goong.
_eauthor.
245 1 0 _aBoundary Element Methods with Applications to Nonlinear Problems
_h[electronic resource] /
_cby Goong Chen, Goong Chen, Jianxin Zhou.
264 1 _aParis :
_bAtlantis Press,
_c2010.
300 _aXXVI, 715p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAtlantis Studies in Mathematics for Engineering and Science,
_x1875-7642 ;
_v7
505 0 _aSome Basic Properties of Sobolev Spaces -- Theory of Distributions -- Pseudodifferential Operators and Their Fredholm Properties -- Finite-Element Methods: Spaces and Properties -- The Potential Equation -- The Helmholtz Equation -- The Thin Plate Equation -- Linear Elastostatics -- Some Error Estimates for Numerical Solutions of Boundary Integral Equations -- Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (I): The Monotone Iteration Scheme and Error Estimates -- Boundary Element Methods for Semilinear Elliptic Partial Differential Equations (II): Algorithms and Computations for Unstable Solutions from Various Models.
520 _aBoundary Element Methods have become a major numerical tool in scientific and engineering problem-solving, with particular applications to numerical computations and simulations of partial differential equations in engineering. Boundary Element Methods provides a rigorous and systematic account of the modern mathematical theory of Boundary Element Methods, including the requisite background on general partial, differential equation methods, Sobolev spaces, pseudo-differential and Fredholm operators and finite elements. It aims at the computation of many types of elliptic boundary value problems in potential theory, elasticity, wave propagation, and structural mechanics. Also presented are various methods and algorithms for nonlinear partial differential equations. This second edition has been fully revised and combines the mathematical rigour necessary for a full understanding of the subject, with extensive examples of applications illustrated with computer graphics. This book is intended as a textbook and reference for applied mathematicians, physical scientists and engineers at graduate and research level. It will be an invaluable sourcebook for all concerned with numerical modeling and the solution of partial differential equations.
650 0 _aMathematics.
650 0 _aOperator theory.
650 0 _aNumerical analysis.
650 1 4 _aMathematics.
650 2 4 _aOperator Theory.
650 2 4 _aNumerical Analysis.
700 1 _aChen, Goong.
_eauthor.
700 1 _aZhou, Jianxin.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
830 0 _aAtlantis Studies in Mathematics for Engineering and Science,
_x1875-7642 ;
_v7
856 4 0 _uhttp://dx.doi.org/10.2991/978-94-91216-27-5
912 _aZDB-2-SMA
999 _c195182
_d195182