Geometric Partial Differential Equations - Part 2 - Bonito, Andrea
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Présentation Geometric Partial Differential Equations - Part 2 de Bonito, Andrea
- Livre
Résumé : Besides their intrinsic mathematical interest, geometric partial differential equations (PDEs) are ubiquitous in many scientific, engineering and industrial applications. They represent an intellectual challenge and have received a great deal of attention recently. The purpose of this volume is to provide a missing reference consisting of self-contained and comprehensive presentations. It includes basic ideas, analysis and applications of state-of-the-art fundamental algorithms for the approximation of geometric PDEs together with their impacts in a variety of fields within mathematics, science, and engineering.
Biographie: 1. Shape and topology optimization 2. Optimal transport: discretization and algorithms 3. Optimal control of geometric partial differential equations 4. Lagrangian schemes for Wasserstein gradient flows 5. The Q-tensor model with uniaxial constraint 6. Approximating the total variation with finite differences or finite elements 7. Numerical simulation and benchmarking of drops and bubbles 8. Smooth multi-patch discretizations in isogeometric analysis
Gr?goire Allaire, Charles Dapogny, and Fran?ois Jouve
Quentin M?rigot and Boris Thibert
Michael Hinterm?ller and Tobias Keil
Jose A. Carrillo, Daniel Matthes, and Marie-Therese Wolfram
Juan Pablo Borthagaray and Shawn W. Walker
Antonin Chambolle and Thomas Pock
Stefan Turek and Otto Mierka
Thomas J.R. Hughes, Giancarlo Sangalli, Thomas Takacs, and Deepesh Toshniwal
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