The finite element method for boundary value problems : mathematics and computations / / Karan S. Surana and J.N. Reddy
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| Autore: |
Surana Karan S.
|
| Titolo: |
The finite element method for boundary value problems : mathematics and computations / / Karan S. Surana and J.N. Reddy
|
| Pubblicazione: | Boca Raton : , : CRC Press, , [2017] |
| ©2017 | |
| Edizione: | 1st ed. |
| Descrizione fisica: | 1 online resource (820 pages) : illustrations |
| Disciplina: | 515/.62 |
| Soggetto topico: | Boundary value problems - Numerical solutions |
| Finite element method | |
| Persona (resp. second.): | ReddyJ. N <1945-> (Junuthula Narasimha) |
| Note generali: | Includes index. |
| Nota di contenuto: | 1. Introduction -- 2. Concepts from functional analysis -- 3. Classical methods of approximation -- 4. The finite element method -- 5. Self-adjoint differential operators -- 6. Non-self-adjoint differential operators -- 7. Non-linear differential operators -- 8. Basic elements of mapping and interpolation theory -- 9. Linear elasticity using the principle of minimum total potential energy -- 10. Linear and nonlinear solid mechanics using the principle of virtual displacements -- 11. Additional topics in linear structural mechanics -- 12. Convergence, error estimation, and adaptivity. |
| Sommario/riassunto: | Written by two well-respected experts in the field, The Finite Element Method for Boundary Value Problems: Mathematics and Computations bridges the gap between applied mathematics and application-oriented studies of FEM. Mathematically rigorous, it uses examples, applications, and illustrations from various areas of engineering, applied mathematics, and the physical sciences. Readers are able to grasp the mathematical foundations of FEM, as well as its versatility; unlike many finite element texts this work is not limited to solid mechanics problems. Based around use of the finite element method for solving boundary values problems (BVPs), the text is organized around three categories of differential operators: self-adjoint, non-self adjoint, and non-linear. These operators are utilized with various methods of approximation, including the Galerkin, Petrov-Galerkin, and other methods. |
| Titolo autorizzato: | The finite element method for boundary value problems |
| ISBN: | 1-315-36571-5 |
| 1-4987-8050-4 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910151566303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |