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Geometric Partial Differential Equations - Part 2
Research and teaching resource in computational geometric partial differential equations
Andrea Bonito (Edited by), Ricardo Horacio Nochetto (Edited by)
9780444643056, Elsevier Science
Hardback, published 29 January 2021
570 pages
22.9 x 15.1 x 3.2 cm, 1.02 kg
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.
1. Shape and topology optimization Grégoire Allaire, Charles Dapogny, and François Jouve 2. Optimal transport: discretization and algorithms Quentin Mérigot and Boris Thibert 3. Optimal control of geometric partial differential equations Michael Hintermüller and Tobias Keil 4. Lagrangian schemes for Wasserstein gradient flows Jose A. Carrillo, Daniel Matthes, and Marie-Therese Wolfram 5. The Q-tensor model with uniaxial constraint Juan Pablo Borthagaray and Shawn W. Walker 6. Approximating the total variation with finite differences or finite elements Antonin Chambolle and Thomas Pock 7. Numerical simulation and benchmarking of drops and bubbles Stefan Turek and Otto Mierka 8. Smooth multi-patch discretizations in isogeometric analysis Thomas J.R. Hughes, Giancarlo Sangalli, Thomas Takacs, and Deepesh Toshniwal
Subject Areas: Numerical analysis [PBKS]
