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

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.

IGA: Non-conforming Coupling and Shape Optimization of Complex Multipatch Structures, Volume 1 provides a contemporary vision of IGA by first discussing the current challenges in achieving a true bridge between design and analysis. It then proposes original solutions that address these issues from an analytical point of view, and eventually studies 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 approach is very robust, taking on all of the attractive features of IGA (the design-analysis link, numerical efficiency, and natural regularization), providing the opportunity to explore new types of design.