Construction of Finite Elements

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Related lectures (28)

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Numerical Analysis: Advanced Topics

Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.

Finite Elements Method: Error Estimation

Explores a priori error estimation in the finite elements method, covering convergence analysis, orthogonality, weak formulations, and optimal precision.

2D Finite Element Convergence

Covers the systematization of building a 2D finite element model and convergence criteria.

Proper Actions and Quotients

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Finite Elements: Triangular vs Quadrangular

Compares triangular and quadrangular finite elements, discussing completeness, continuity, and precision.

Finite Elements: Basics and Precision

Explains the basics and precision of triangular and quadrangular finite elements.

Finite Elements: Convergence Analysis and Variational Formulation

Explores convergence analysis of finite element methods and variational formulation.

Geometric Interpretation of Jacobian

Explores the geometric interpretation of the Jacobian matrix and illicit transformations.

Geometrically Finite Elements: Coordinate Transformation

Discusses the transformation of regular finite elements into geometrically distorted elements and the effect of coordinate transformation on approximation.

Virtual Displacements: Hyperstatic Systems

Introduces the theorem of virtual displacements for hyperstatic systems and composite structures.