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Lecture
Quadrangular Finite Elements
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Quadrangular Finite Elements
Explores quadrangular finite elements, node numbering, and application examples.
Finite Element Method: Higher Order Models
Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.
Finite Element Method: Quadratic Elements
Explores the precision of finite element models and higher order asymptotic estimates.
Optimization Methods
Covers optimization methods without constraints, including gradient and line search in the quadratic case.
Finite Elements: Triangular vs Quadrangular
Compares triangular and quadrangular finite elements, discussing completeness, continuity, and precision.
Finite Element Method: Quadrangular Elements
Explores basic functions and criteria in quadrangular finite elements using the finite element method.
Differential Forms Integration
Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.
Equidistribution of CM Points
Covers the joint equidistribution of CM points in algebraic structures and quadratic forms.
Linear Quadratic (LQ) Optimal Control: Proof of Theorem
Covers the proof of the recursive formula for the optimal gains in LQ control over a finite horizon.
Quadratic Forms and Symmetric Bilinear Forms
Explores quadratic forms, symmetric bilinear forms, and their properties.