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P- And HP- Finite Element Methods: Theory and Applications to Solid and Fluid Mechanics (Numerical Mathematics and Scientific Computation) - Hardcover
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, 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.
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Review
'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
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- PublisherOUP Oxford
- Publication date1998
- ISBN 10 0198503903
- ISBN 13 9780198503903
- BindingHardcover
- LanguageEnglish
- Number of pages388
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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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p- and hp- Finite Element Methods (Hardcover)
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Oxford University Press, Oxford, 1998
ISBN 10: 0198503903
ISBN 13: 9780198503903
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Hardcover. Condition: 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. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780198503903
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p- and hp- Finite Element Methods: Theory and Applications to Solid and Fluid Mechanics (Numerical Mathematics and Scientific Computation)
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p- and hp- Finite Element Methods (Hardcover)
Published by
Oxford University Press, Oxford, 1998
ISBN 10: 0198503903
ISBN 13: 9780198503903
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Hardcover. Condition: 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. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780198503903
Quantity: 1 available