Sinossi
This book is an introduction to the mathematical analysis of p- and hp-finite 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 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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
'Summarizing the book is the first theoretical book addressing the hp-version of the finite element method which is used today in practical computations. It is very well written and gives a very good review of the techniques and results in this relatively new direction in the FEM. It is highly recommended to anybody with mathematical interest for both learning and reference' ZAMM
Contenuti
- 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 hp-FEM in incompressible fluid flow
- hp-FEM in the theory of elasticity
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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P- and Hp- Finite Element Methods : Theory and Applications to Solid and Fluid Mechanics
Editore:
Oxford University Press, Incorporated, 1999
ISBN 10: 0198503903
ISBN 13: 9780198503903
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P- and Hp- Finite Element Methods: Theory and Applications in Solid and Fluid Mechanics (Numerical Mathematics and Scientific Computation)
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Condizione: Fair. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. With owner's name inside cover. In fair condition, suitable as a study copy. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,800grams, ISBN:9780198503903. Codice articolo 7093606
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P- and Hp- Finite Element Methods: Theory and Applications in Solid and Fluid Mechanics
Editore:
Oxford University Press, 1998
ISBN 10: 0198503903
ISBN 13: 9780198503903
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Da: Anybook.com, Lincoln, Regno Unito
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Condizione: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,800grams, ISBN:9780198503903. Codice articolo 4148718
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p- and hp- Finite Element Methods (Hardcover)
Editore:
Oxford University Press, Oxford, 1998
ISBN 10: 0198503903
ISBN 13: 9780198503903
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Hardcover. Condizione: new. Hardcover. This book is an introduction to the mathematical analysis of p- and hp-finite 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 valueproblems 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 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. The finite element method (FEM) is a numerical procedure for solving differential equations. This book covers the mathematical underpinnings of hp-FEM in one and two dimensions and pays particular attention to its applications in engineering. This item is printed on demand. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Codice articolo 9780198503903
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P- And Hp- Finite Element Methods : Theory and Applications to Solid and Fluid Mechanics
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Condizione: Sehr gut. Zustand: Sehr gut | Seiten: 392 | Sprache: Englisch | Produktart: Bücher | 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. Codice articolo 1353459/202
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P- And HP- Finite Element Methods: Theory and Applications to Solid and Fluid Mechanics: Theory and Applications in Solid and Fluid Mechanics (Numerical Mathematics and Scientific Computation)
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