IGA: Non-conforming Coupling and Shape Optimization of Complex Multipatch Structures, Volume 1

Non-conforming Coupling and Shape Optimization of Complex Multipatch Structures

Robin Bouclier, Thibaut Hirschler

• Publisher: Wiley-ISTE
• Year: 2022
• Print ISBN: 9781786308245
• eBook ISBN: 9781119988540
• Edition: 1
• Topic: Mathematics
• Subtopic: Mathematical Analysis
• Index: Mathematics

Isogeometric analysis (IGA) consists of using the same higher-order and smooth spline functions for the representation of geometry in Computer Aided Design as for the approximation of solution fields in Finite Element Analysis. Now, about fifteen years after its creation, substantial works are being reported in IGA, which make it very competitive in scientific computing. This book provides a contemporary vision of IGA by first discussing the current challenges in achieving a true bridge between design and analysis, then proposing original solutions that answer the issues from an analytical point of view, and, eventually, studying the shape optimization of structures, which is one of the greatest applications of IGA. To handle complex structures, a full analysis-to-optimization framework is developed, based on non-invasive coupling, parallel domain decomposition and immersed geometrical modeling. This seems to be very robust, taking on all of the attractive features of IGA (the design–analysis link, numerical efficiency and natural regularization), giving us the opportunity to explore new types of design.

Table of contents

• Cover
• Table of Contents
• Title Page
• Copyright
• Preface
• 1 Introduction to IGA: Key Ingredients for the Analysis and Optimization of Complex Structures
• 2 Non-invasive Coupling for Flexible Global/Local IGA
• 3 Domain Decomposition Solvers for Efficient Multipatch IGA
• 4 Isogeometric Shape Optimization of Multipatch and Complex Structures
• References
• Index
• Wiley End User License Agreement