P- And HP- Finite Element Methods : Theory and Applications to Solid and Fluid Mechanics

Christoph Schwab

ISBN 10: 0198503903 / ISBN 13: 9780198503903

Published by Oxford University Press (UK) Jan 1999, 1999

About this Item

Neuware - This book is an introduction to the mathematical analysis of p- and hp-finite elements applied to elliptic problems in solid and fluid mechanics. In the last decade the p-, hp-, and spectral element methods have emerged as efficient and robust approximation methods for several classes ofproblems in this area. The aim of this book is 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 theregularity of the solution. The books then studies the p- and hp- convergence of the finite element method (FEM) in one and two dimensions, supplying complete proofs. Also covered are hp-FEM for saddle point problems and the techniques for establishing the discrete infsup condition. Finally, hp-FEMin solid mechanics and the issue of locking is addressed in the context of these methods. It is suitable for graduate students and researchers who have had some prior exposure to FEM.

Seller Inventory # 9780198503903

Bibliographic Details

• Title: P- And HP- Finite Element Methods : Theory and Applications to Solid and Fluid Mechanics
• Publisher: Oxford University Press (UK) Jan 1999
• Publication Date: 1999
• Language: English
• ISBN 10: 0198503903
• ISBN 13: 9780198503903
• Binding: Buch
• Condition: Neu

About this title

Synopsis

This book is an introduction to the mathematical analysis of p- and hp-finite elements applied to elliptic problems in solid and fluid mechanics. 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 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 the finite element method (FEM) in one and two dimensions, supplying complete proofs. Also covered are hp-FEM for saddle point problems and the techniques for establishing the discrete infsup condition. Finally, hp-FEM in solid mechanics and the issue of locking is addressed in the context of these methods. It is suitable for graduate students and researchers who have had some prior exposure to FEM.

About the Author

C. Schwab is at the Seminar für Angewandte Mathematik, ETH, Zürich.