Andrea Bonito,
Ricardo Horacio Nochetto
Elsevier Science
e druk, 2021
9780444643056
Geometric Partial Differential Equations - Part 2
Specificaties
Gebonden, blz.
|
Engels
Elsevier Science |
e druk, 2021
ISBN13: 9780444643056
Rubricering
Onderdeel van serie
Handbook of Numerical Analysis
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
Inhoudsopgave
<p>1. Shape and topology optimization<br>Grégoire Allaire, Charles Dapogny, and François Jouve</p> <p>2. Optimal transport: discretization and algorithms<br>Quentin Mérigot and Boris Thibert</p> <p>3. Optimal control of geometric partial differential equations<br>Michael Hintermüller and Tobias Keil</p> <p>4. Lagrangian schemes for Wasserstein gradient flows<br>Jose A. Carrillo, Daniel Matthes, and Marie-Therese Wolfram</p> <p>5. The Q-tensor model with uniaxial constraint<br>Juan Pablo Borthagaray and Shawn W. Walker</p> <p>6. Approximating the total variation with finite differences or finite elements<br>Antonin Chambolle and Thomas Pock</p> <p>7. Numerical simulation and benchmarking of drops and bubbles<br>Stefan Turek and Otto Mierka</p> <p>8. Smooth multi-patch discretizations in isogeometric analysis<br>Thomas J.R. Hughes, Giancarlo Sangalli, Thomas Takacs, and Deepesh Toshniwal</p>