Alles über E-Books | Antworten auf Fragen rund um E-Books, Kopierschutz und Dateiformate finden Sie in unserem Info- & Hilfebereich.
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.
- About every aspect of computational geometric PDEs is discussed in this and a companion volume. Topics in this volume include stationary and time-dependent surface PDEs for geometric flows, large deformations of nonlinearly geometric plates and rods, level set and phase field methods and applications, free boundary problems, discrete Riemannian calculus and morphing, fully nonlinear PDEs including Monge-Ampere equations, and PDE constrained optimization
- Each chapter is a complete essay at the research level but accessible to junior researchers and students. The intent is to provide a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications. Each chapter is thus useful as an introduction to a research area as well as a teaching resource, and provides numerous pointers to the literature for further reading
- The authors of each chapter are world leaders in their field of expertise and skillful writers. This book is thus meant to provide an invaluable, readable and enjoyable account of computational geometric PDEs
Language
Place of publication
ISBN-13
978-0-444-64306-3 (9780444643063)
Schweitzer Classification
1. Shape and topology optimizationGrégoire Allaire, Charles Dapogny, and François Jouve
2. Optimal transport: discretization and algorithmsQuentin Mérigot and Boris Thibert
3. Optimal control of geometric partial differential equationsMichael Hintermüller and Tobias Keil
4. Lagrangian schemes for Wasserstein gradient flowsJose A. Carrillo, Daniel Matthes, and Marie-Therese Wolfram
5. The Q-tensor model with uniaxial constraintJuan Pablo Borthagaray and Shawn W. Walker
6. Approximating the total variation with finite differences or finite elementsAntonin Chambolle and Thomas Pock
7. Numerical simulation and benchmarking of drops and bubblesStefan Turek and Otto Mierka
8. Smooth multi-patch discretizations in isogeometric analysisThomas J.R. Hughes, Giancarlo Sangalli, Thomas Takacs, and Deepesh Toshniwal