TY  - BOOK
AU  - Brenner, Susanne
AU  - Scott, L. Ridgway
TI  - The Mathematical Theory of Finite Element Methods: Texts in Applied Mathematics 
SN  - 9781441926111
U1  - 515.353 
PY  - 2011///
CY  - New Delhi
PB  - Springer India Pvt Ltd
KW  - Sobolev space algorithm algorithms construction finite element method finite elements functional analysis numerical analysis operator
N1  - Table 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
N2  - Mathematics 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)
ER  -