OptiCut documentation
OptiCut is a shape optimization framework that combines the level set method with the Cut Finite Element Method (CutFEM) and the Ersatz material approach.
Part Shape optimization method provides a comprehensive overview of the shape optimization strategy employed, including the mathematical formulation and general methodology.
In Part CutFEM for Immersed geometry discretization, we introduce the CutFEM method in a broad sense, emphasizing its fundamental principles and comparing it to the classical fictitious material method, particularly in the context of shape optimization.
Part Shape optimization with CutFEM focuses on the specific adaptations of the CutFEM approach for shape optimization problems for linear elasticity.
These first three sections together offer a theoretical foundation for understanding the inner workings and design principles of the OptiCut code.
The Demos section presents two benchmark problems that illustrate the application and effectiveness of the method, demonstrating the performance and capabilities of OptiCut in practical scenarios.
Finally, the last section Documentation contains the complete technical documentation of the code, including usage instructions, input/output specifications, and implementation details.
Contents:
- Shape optimization method
- CutFEM for Immersed geometry discretization
- Shape optimization with CutFEM
- Demos
- Documentation
- Bibliography