000			03037nam a22002297a 4500
003			CUTN
005			20250527165400.0
008			250527b |||||||| |||| 00| 0 eng d
020			_a9781441926111
041			_aEnglish
082			_a515.353 _bBRE
100			_aBrenner, Susanne
245			_aThe Mathematical Theory of Finite Element Methods : _bTexts in Applied Mathematics / _cSusanne C. Brenner & L. Ridgway Scott
250			_a3rd.
260			_aNew Delhi : _bSpringer India Pvt Ltd , _c2011 .
300			_a397 p. :
505			_aTable of contents (15 chapters) Front Matter Pages i-xvii Basic Concepts Pages 1-22 Sobolev Spaces Pages 23-47 Variational Formulation of Elliptic Boundary Value Problems Pages 49-67 The Construction of a Finite Element Space Pages 69-92 Polynomial Approximation Theory in Sobolev Spaces Pages 93-127 n-Dimensional Variational Problems Pages 129-154 Finite Element Multigrid Methods Pages 155-173 Additive Schwarz Preconditioners Pages 175-214 Max—norm Estimates Pages 215-240 Adaptive Meshes Pages 241-269 Variational Crimes Pages 271-309 Applications to Planar Elasticity Pages 311-329 Mixed Methods Pages 331-354 Iterative Techniques for Mixed Methods Pages 355-370 Applications of Operator-Interpolation Theory Pages 371-381 Back Matter Pages 383-398
520			_aMathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scienti?c disciplines and a resurgence of interest in the modern as well as the cl- sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAMwillpublishtextbookssuitableforuseinadvancedundergraduate and beginning graduate courses, and will complement the Applied Mat- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. Pasadena, California J.E. Marsden Providence, Rhode Island L. Sirovich College Park, Maryland S.S. Antman Preface to the Third Edition This edition contains four new sections on the following topics: the BDDC domain decomposition preconditioner (Section 7.8), a convergent ad- tive algorithm (Section 9.5), interior penalty methods (Section 10.5) and 1 Poincar´ e-Friedrichs inequalities for piecewise W functions (Section 10.6).
650			_aSobolev space algorithm algorithms construction finite element method finite elements functional analysis numerical analysis operator
700			_aScott, L. Ridgway
942			_2ddc _cBOOKS
999			_c44388 _d44388