Geometric partial differential equations
著者
書誌事項
Geometric partial differential equations
（Handbook of numerical analysis / general editors, P.G. Ciarlet, J.L. Lions, v. 22）
North-Holland, an imprint of Elsevier, c2021
- : pt. 2
大学図書館所蔵 件 / 全6件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
1. Shape and topology optimization Gregoire Allaire, Charles Dapogny, and Francois Jouve
2. Optimal transport: discretization and algorithms Quentin Merigot and Boris Thibert
3. Optimal control of geometric partial differential equations Michael Hintermuller 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
「Nielsen BookData」 より