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1. |
Record Nr. |
UNINA9910791971603321 |
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Autore |
Davies Alan J |
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Titolo |
The finite element method [[electronic resource] ] : an introduction with partial differential equations / / A.J. Davies |
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Pubbl/distr/stampa |
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Oxford ; ; New York, : Oxford University Press, 2011 |
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ISBN |
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0-19-163034-9 |
1-283-42690-0 |
9786613426901 |
0-19-163033-0 |
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Edizione |
[2nd ed.] |
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Descrizione fisica |
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1 online resource (308 p.) |
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Classificazione |
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Disciplina |
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Soggetti |
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Finite element method |
Numerical analysis |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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Cover; Contents; 1 Historical introduction; 2 Weighted residual and variational methods; 2.1 Classification of differential operators; 2.2 Self-adjoint positive definite operators; 2.3 Weighted residual methods; 2.4 Extremum formulation: homogeneous boundary conditions; 2.5 Non-homogeneous boundary conditions; 2.6 Partial differential equations: natural boundary conditions; 2.7 The Rayleigh-Ritz method; 2.8 The 'elastic analogy' for Poisson's equation; 2.9 Variational methods for time-dependent problems; 2.10 Exercises and solutions; 3 The finite element method for elliptic problems |
3.1 Difficulties associated with the application of weighted residual methods3.2 Piecewise application of the Galerkin method; 3.3 Terminology; 3.4 Finite element idealization; 3.5 Illustrative problem involving one independent variable; 3.6 Finite element equations for Poisson's equation; 3.7 A rectangular element for Poisson's equation; 3.8 A triangular element for Poisson's equation; 3.9 Exercises and solutions; 4 Higher-order elements: the isoparametric concept; 4.1 A two-point boundary-value problem; 4.2 Higher-order rectangular elements; 4.3 Higher-order triangular elements |
4.4 Two degrees of freedom at each node4.5 Condensation of internal |
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nodal freedoms; 4.6 Curved boundaries and higher-order elements: isoparametric elements; 4.7 Exercises and solutions; 5 Further topics in the finite element method; 5.1 The variational approach; 5.2 Collocation and least squares methods; 5.3 Use of Galerkin's method for time-dependent and non-linear problems; 5.4 Time-dependent problems using variational principles which are not extremal; 5.5 The Laplace transform; 5.6 Exercises and solutions; 6 Convergence of the finite element method; 6.1 A one-dimensional example |
6.2 Two-dimensional problems involving Poisson's equation6.3 Isoparametric elements: numerical integration; 6.4 Non-conforming elements: the patch test; 6.5 Comparison with the finite difference method: stability; 6.6 Exercises and solutions; 7 The boundary element method; 7.1 Integral formulation of boundary-value problems; 7.2 Boundary element idealization for Laplace's equation; 7.3 A constant boundary element for Laplace's equation; 7.4 A linear element for Laplace's equation; 7.5 Time-dependent problems; 7.6 Exercises and solutions; 8 Computational aspects; 8.1 Pre-processor |
8.2 Solution phase8.3 Post-processor; 8.4 Finite element method (FEM) or boundary element method (BEM)?; Appendix A: Partial differential equation models in the physical sciences; A.1 Parabolic problems; A.2 Elliptic problems; A.3 Hyperbolic problems; A.4 Initial and boundary conditions; Appendix B: Some integral theorems of the vector calculus; Appendix C: A formula for integrating products of area coordinates over a triangle; Appendix D: Numerical integration formulae; D.1 One-dimensional Gauss quadrature; D.2 Two-dimensional Gauss quadrature; D.3 Logarithmic Gauss quadrature |
Appendix E: Stehfest's formula and weights for numerical Laplace transform inversion |
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Sommario/riassunto |
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The finite element method is a technique for solving problems in applied science and engineering. The essence of this book is the application of the finite element method to the solution of boundary and initial-value problems posed in terms of partial differential equations. The method is developed for the solution of Poisson's equation, in a weighted-residual context, and then proceeds to time-dependent and nonlinear problems. The relationship with the variational approach is alsoexplained. This book is written at an introductory level, developing all the necessary concepts where required. Co |
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2. |
Record Nr. |
UNINA9910818324703321 |
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Autore |
Abolmaali Nasreddin |
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Titolo |
Management of Smell and Taste Disorders : A Practical Guide for Clinicians / / by: Welge-Luessen, Antje, Hummel, Thomas |
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Pubbl/distr/stampa |
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Stuttgart, Germany ; ; New York, New York : , : Thieme, , 2014 |
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©2014 |
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ISBN |
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Descrizione fisica |
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1 online resource (240 pages) : illustrations |
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Disciplina |
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Soggetti |
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Smell disorders |
Taste disorders |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Sommario/riassunto |
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"Recent breakthroughs in the diagnosis and treatment of smell and taste disorders have dramatically altered clinical outcomes for these patients. In this important book, readers will get a full overview of the topic today, including functional anatomy, pathophysiology, diagnostic and clinical work-up, assessment techniques, medical and surgical options, and more. Focused and to-the-point, the book is especially designed for physicians treating patients in the everyday practice setting.Special Features: Written by the fields foremost leaders, who chair international working committees and run annual courses on olfaction and gustation, Covers the most important advances in diagnostic and treatment techniques, Provides a clear methodology for examining, testing, classifying, diagnosing, and treating a wide range of idiopathic, congenital, and acquired smell and taste disorders, Explores the use of MRI for improved visualization of central olfactory areas, including the lesions and other disturbances that cause olfactory disorders, Offers new information on the interaction between the chemical senses, especially important in medicolegal cases, Includes more than 130 full-color diagrams, clinical pathways, tables, photographs, and anatomic illustrations that clarify all concepts. Complete with expert foundational chapters on the anatomy and |
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structure of the olfactory and gustatory systems, as well as compelling information on quality-of-life issues, this book makes a major contribution to the field. It is essential for otolaryngologists, neurologists, internists, residents, and other specialists treating patients with smell and taste disorders in a modern clinical setting"--Provided by publisher. |
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