Geometric Partial Differential Equations - Part 2, Volume 22
1st Edition
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Table of Contents
1. Optimal control of geometric partial differential equations
Michael Hintermueller
2. Shape optimization
Grégoire Allaire
3. Total variation minimization
Antonin Chambolle
4. Numerical relativity
M. Holst
5. Numerical Simulation and Bench- marking of Drops and Bubbles
Stefan Turek
6. Optimal Transport
Quentin Merigot
7. Gradient flows
J. carrillo
8. Isogeometric Analysis
Giancarlo Sangalli
9. Liquid Crystals
Shaw Walker
Description
Geometric Partial Differential Equations - Part 2, Volume 22 includes basic ideas, analyses and applications of state-of-the-art, fundamental algorithms surrounding the approximation of geometric PDEs, along with their impact in a variety of fields within mathematics, science and engineering. Chapters in this latest release include Optimal control of geometric partial differential equations, Shape optimization, Total variation minimization, Numerical relativity, Numerical Simulation and Bench- marking of Drops and Bubbles, Optimal Transport, Gradient flows, Isogeometric Analysis, Liquid Crystals, and more.
Key Features
- Includes sections on Optimal control of geometric partial differential equations, Shape optimization, Total variation minimization, Numerical relativity, and more
- Provides a comprehensive description of algorithms and their analysis for a specific geometric PDE class, starting from basic concepts and concluding with interesting applications
- Authored by world leaders in their field of expertise and skillful writers
Readership
Mathematically trained research scientists and engineers with basic knowledge in partial differential equations and their numerical approximations
Details
- No. of pages:
- 500
- Language:
- English
- Copyright:
- © North Holland 2021
- Published:
- 10th January 2021
- Imprint:
- North Holland
- Hardcover ISBN:
- 9780444643056
Ratings and Reviews
About the Serial Editors
Andrea Bonito
Andrea Bonito is professor in the Department of Mathematics at Texas A&M University. Together with Ricardo H. Nochetto they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems.
Affiliations and Expertise
Department of Mathematics, Texas A&M University, USA
Ricardo Nochetto
Ricardo H. Nochetto is professor in the Department of Mathematics and the Institute for Physical Science and Technology at the University of Maryland, College Park. Together with Andrea Bonito they have more than forty years of experience in the variational formulation and approximation of a wide range of geometric partial differential equations (PDEs). Their work encompass fundamental studies of numerical PDEs: the design, analysis and implementation of efficient numerical algorithms for the approximation of PDEs; and their applications in modern engineering, science, and bio-medical problems.
Affiliations and Expertise
Institute for Physical Science and Technology, University of Maryland, USA
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