MFEM Workshop 2024 | SiMPL: A Fast and Simple Method for Density-Based Topology Optimization скачать в хорошем качестве

MFEM Workshop 2024 | SiMPL: A Fast and Simple Method for Density-Based Topology Optimization

The MFEM (Modular Finite Element Methods) project provides high-order mathematical calculations for large-scale scientific simulations. MFEM’s discretization algorithms enable high-performance computing systems to run these simulations more efficiently. The open-source project led by LLNL now has a global user community. Held on October 22-24, 2024, the fourth annual MFEM community workshop brought together users and developers for a review of software features and the development roadmap, a showcase of technical talks and applications, student lightning talks, an interactive Q&A session, and a visualization contest. Dohyun Kim of Brown University presented “SiMPL Method: A Fast and Simple Method for Density-Based Topology Optimization.” This talk will present a new first-order method for density-based topology optimization called SiMPL: Sigmoidal Mirror descent with Projected Lagrangian. This method delivers point-wise bound preserving density fields at every iteration. The design updates are based only on the first-order derivative information of the objective function, significantly simplifying practical implementations. We accelerate this method with adaptive step size and back-tracking line search. We numerically verified the mesh-independent behavior of the SiMPL method and observed significantly faster convergence compared to other popular first-order optimization algorithms for topology optimization. To outline the general applicability of the technique, we also include examples with (self-load) compliance minimization and compliant mechanism problems. Learn more about MFEM at https://mfem.org/. LLNL-VIDEO-2001932