Introduction to shape optimization : theory, approximation, and computation /
The efficiency and reliability of manufactured products depend on, among other things, geometrical aspects; it is therefore not surprising that optimal shape design problems have attracted the interest of applied mathematicians and engineers. This self-contained, elementary introduction to the mathe...
Clasificación: | Libro Electrónico |
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Autor principal: | |
Otros Autores: | |
Formato: | Electrónico eBook |
Idioma: | Inglés |
Publicado: |
Philadelphia :
SIAM, Society for Industrial and Applied Mathematics,
©2003.
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Colección: | Advances in design and control.
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Temas: | |
Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Why the mathematical analysis is important
- A mathematical introduction to sizing and shape optimization
- Sensitivity analysis
- Numerical minimization methods
- On automatic differentiation of computer programs
- Fictitious domain methods in shape optimization
- Applications in elasticity
- Fluid mechanical and multidisciplinary applications
- Appendix A: Weak formulations and approximations of elliptic equations and inequalities
- Appendix B: On parametrizations of shapes and mesh generation.