Explores the theory of quasi-convexity in variational problems from continuum mechanics, discussing its principles, applications, and relationship with convexity.
Explores the local approach of the finite element method, covering nodal shape functions, solution restrictions, sizes, boundary conditions, and assembly operations.
Covers free meshing algorithms, partitioning, and incompatible meshes in 3D simulations, emphasizing the importance of mesh quality and element compatibility.
Discusses necessary conditions for multiple constraints and finding extrema under constraints using Lagrange multipliers and implicit function theorem.