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The mathematical theory of finite element methods

Author: Susanne C Brenner; L Ridgway Scott
Publisher: New York, NY : Springer, ©2008.
Series: Texts in applied mathematics, 15.
Edition/Format:   Print book : English : 3rd edView all editions and formats
Summary:
This book develops the basic mathematical theory of the finite element method, the most widely used technique for engineering design and analysis." "The third edition contains four new sections: the BDDC domain decomposition preconditioner, convergence analysis of an adaptive algorithm, interior penalty methods and Poincare-Friedrichs inequalities for piecewise W[subscript p][superscript 1] functions. New exercises  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Susanne C Brenner; L Ridgway Scott
ISBN: 9780387759333 0387759336 9781441926111 1441926119 9780387759340 0387759344
OCLC Number: 183259725
Description: xvii, 397 pages : illustrations ; 24 cm.
Contents: Basic concepts --
Sobolev spaces --
Variational formulation of elliptic boundary value problems --
The construction of a finite element space --
Polynomial approximation thoery in Sobolev spaces --
n-Dimensional variational problems --
Finite element multigrid methods --
Additive Schwarz preconditioners --
Max-norm estimates --
Adaptive meshes --
Variational crimes --
Applications for planar elasticity --
Mixed methods --
Iteratie techniques for mixed methods --
Applications of Operator-Interpolation theory.
Series Title: Texts in applied mathematics, 15.
Responsibility: Susanne C. Brenner, L. Ridgway Scott.
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Abstract:

This is the third and yet further updated edition of a highly regarded mathematical text. Brenner develops the basic mathematical theory of the finite element method, the most widely used technique  Read more...

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Second Edition S.C. Brenner and L.R. Scott The Mathematical Theory of Finite Element Methods "[This is] a well-written book. A great deal of material is covered, and students who have taken the Read more...

 
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