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The LLNL-led MFEM (Modular Finite Element Methods) project provides high-order mathematical calculations for large-scale scientific simulations. The project’s second community workshop was held on October 25, 2022, with participants around the world. Learn more about MFEM at https://mfem.org/. Jorge-Luis Barrera of LLNL presented "Shape and Topology Optimization Powered by MFEM." He discussed the Livermore Design Optimization (LiDO) code, which solves optimization problems for a wide range of Lab-relevant engineering applications. Leveraging MFEM and the LLNL-developed engineering simulation code Serac, LiDO delivers a powerful suite of design tools that run on HPC systems. The talk highlighted several design examples that benefit from LiDO’s integration with MFEM, including multi-material geometries, octet truss lattices, and a concrete dam under stress. LiDO’s graph architecture that seamlessly integrates MFEM features ensures robust topology optimization, as well as shape optimization using nodal coordinates and level set fields as optimization variables. LLNL-PRES-841535