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This lecture covers free meshing algorithms in 3D, including advancing front meshing and tetrahedralization. It explains the most general meshing algorithm in Abaqus/CAE, as well as the importance of partitioning to enhance mesh quality and assign local refinements. The lecture also addresses incompatible meshes, emphasizing the need for mesh faces to be similar at interfaces and shape functions to be compatible. It provides insights into element compatibility at interfaces and offers advice on mesh quality criteria, such as geometry distortion and aspect ratio. Additionally, it discusses the importance of maintaining element compatibility and mesh quality to avoid convergence issues and ensure accurate simulation results.