Geometrically Constrained Level Set Topology Optimization Using Hilbert Space Extension Method

Watch a technical presentation from the 2024 MFEM Workshop where Adrian Butscher from Autodesk Research introduces a novel approach to level-set based topology optimization. Explore how this method combines conventional free-form shape updates with constrained shape updates along specified boundary parts, particularly useful for designing shapes with preserved geometric features. Learn about the innovative Constrained Hilbert Space Extension (C-HSE) method that generates velocity fields while maintaining optimization objectives and multiple constraint types including translation, rotation, and scaling. Understand practical applications like optimizing shapes with circular apertures for pin joints, and see demonstrations of the method applied to various geometrically constrained boundary conditions on canonical problems. Discover how this advancement in the Modular Finite Element Methods (MFEM) framework enhances high-order mathematical calculations for large-scale scientific simulations.