P and hp finite element methods : theory and applications in solid and fluid mechanics
 Author/Creator
 Schwab, Ch. (Christoph)
 Language
 English.
 Imprint
 Oxford : Clarendon Press ; New York : Oxford University Press, 1998.
 Physical description
 xii, 374 p. : ill. ; 24 cm.
 Series

Numerical mathematics and scientific computation.
Oxford science publications.
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Contents/Summary
 Bibliography
 Includes bibliographical references (p. [364]371) and index.
 Contents

 Variational formulation of boundary value problems  The Finite Element Method (FEM): definition, basic properties  hp Finite Elements in one dimension  hp Finite Elements in two dimensions  Finite Element analysis of saddle point problems, mixed hpFEM in incompressible fluid flow  hpFEM in the theory of elasticity.
 (source: Nielsen Book Data)
 Publisher's Summary
 This book is an introduction to the mathematical analysis of p and hpfinite elements applied to elliptic problems in solid and fluid mechanics, and is suitable for graduate students and researchers who have had some prior exposure to finite element methods (FEM). In the last decade the p, hp, and spectral element methods have emerged as efficient and robust approximation methods for several classes of problems in this area. The aim of this book is therefore to establish the exponential convergence of such methods for problems with the piecewise analytic solutions which typically arise in engineering. It looks at the variational formulation of boundary value problems with particular emphasis on the regularity of the solution. The books then studies the p and hp convergence of FEM in one and two dimensions, supplying complete proofs. Also covered are hpFEM for saddle point problems and the techniques for establishing the discrete infsup condition. Finally, hpFEM in solid mechanics and the issue of locking is addressed in the context of these methods.
(source: Nielsen Book Data)  Supplemental links

Publisher description
Table of contents only
Table of contents
Subjects
Bibliographic information
 Publication date
 1998
 Responsibility
 Ch. Schwab.
 Title Variation
 Theory and applications in solid and fluid mechanics
 Series
 Numerical mathematics and scientific computation
 Oxford science publications
 Note
 Errata sheet tipped in.
 ISBN
 0198503903
 9780198503903