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Lecture
2D Finite Element Convergence
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Geometrically Finite Elements: Coordinate Transformation
Discusses the transformation of regular finite elements into geometrically distorted elements and the effect of coordinate transformation on approximation.
Quadrangular Finite Elements
Explores quadrangular finite elements, node numbering, and application examples.
Quadrangular Finite Elements
Covers the basic functions of quadratic and biquadratic rectangular elements and the serendipal family of regular rectangular finite elements.
Geometric Interpretation of Jacobian
Explores the geometric interpretation of the Jacobian matrix and illicit transformations.
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Finite Elements: Problem with Limits
Covers the application of finite element methods to solve boundary value problems in one dimension.
Virtual Displacements: Hyperstatic Systems
Introduces the theorem of virtual displacements for hyperstatic systems and composite structures.
Finite Elements: Variational Formulation
Explains the variational form in finite elements and the use of basic functions.
Finite Differences and Finite Elements: Variational Formulation
Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.
Finite Element Method: Weak Formulation and Applications
Explores integral and weak formulations in Finite Element Method applications.