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ME-372: Finite element method
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Lectures in this course (49)
Finite Element Method: Formulation and Approximations
Covers the strong and integral formulations, weak formulation, and approximation of temperatures.
Conduction Heat Transfer: Formulations and Theorems
Explores the strong and integral formulations of conduction heat transfer in 2D media, along with weak formulations and boundary conditions.
Finite Element Method: Formulation and Approach
Explores the strong and weak formulations of the finite element method.
Finite Element Method: Quadrangular Elements
Explores basic functions and criteria in quadrangular finite elements using the finite element method.
Finite Element Method: 2D Analysis
Explores the finite element method for 2D analysis, covering assembly, matrices, sources, and convergence criteria of quadrangular elements.
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.
Finite Elements: Basics and Precision
Explains the basics and precision of triangular and quadrangular finite elements.
Finite Elements: Triangular vs Quadrangular
Compares triangular and quadrangular finite elements, discussing completeness, continuity, and precision.
Geometrically Finite Elements: Coordinate Transformation
Discusses the transformation of regular finite elements into geometrically distorted elements and the effect of coordinate transformation on approximation.
Finite Elements Transformation
Covers the transformation of finite elements into deformed elements and the evaluation of the Jacobian matrix.
Geometrically Finite Elements: Jacobian Matrix
Explores the Jacobian matrix for geometrically finite elements in the Finite Element Method.
Geometric Interpretation of Jacobian
Explores the geometric interpretation of the Jacobian matrix and illicit transformations.
Finite Element Modeling: Systematization and Construction
Covers the systematization and construction of a 2D finite element model.
Finite Element Modeling: Systematization
Covers the systematization of 2D finite element modeling and treatment of curvilinear integrals.
Finite Element Modeling: Systematization and Integration
Explores the systematization and integration in 2D finite element modeling.
Finite Element Method: Construction and Integration
Explores the construction of a 2D finite element model and the treatment of curvilinear integrals.
2D Finite Element Model: Systematization and Convergence
Covers the systematization and convergence of 2D finite element models.
2D Finite Element Convergence
Covers the systematization of building a 2D finite element model and convergence criteria.
Finite Elements Method: Application Example 2D
Explores the application of finite elements method in 2D temperature distribution on a square plate.
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