Lectures in course ME-372: Finite element method

Finite element method in heat transfer Log in to Mediaspace to watch this video

Explores the finite element method in heat transfer, including solving eigenvalue problems and practical exercises on vibration modes.

Finite Element Method: Equivalence of Strong and Weak Formulations Log in to Mediaspace to watch this video

Explores the equivalence between strong and weak formulations in the Finite Element Method, along with the Galerkin method.

Finite Elements: Convergence Analysis and Variational Formulation Log in to Mediaspace to watch this video

Explores convergence analysis of finite element methods and variational formulation.

Generalization of the Model Problem Log in to Mediaspace to watch this video

Covers the generalization of the model problem in structural mechanics and explores equilibrium equations and the link between normal force and displacement.

Generalization of the Bar Model Log in to Mediaspace to watch this video

Explores the insertion of discontinuities and modifications of the differential equation in the bar model.

Finite Element Method: Weak Formulation and Applications Log in to Mediaspace to watch this video

Explores integral and weak formulations in Finite Element Method applications.

Finite Element Method: Weak Formulation and Galerkin Method Log in to Mediaspace to watch this video

Explores the weak formulation and Galerkin method in Finite Element Method applications, including boundary conditions and linear systems of equations.

Finite Element Development: Higher Order Basis Functions Log in to Mediaspace to watch this video

Explores higher-order basis functions in finite element development and precision of models.

Finite Element Development: Higher Order Log in to Mediaspace to watch this video

Explores higher-order finite elements, Lagrangian family, and digital integration for stiffness matrix evaluation.

Finite Element Method: Higher Order Models Log in to Mediaspace to watch this video

Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.

Finite Element Method: Quadratic Elements Log in to Mediaspace to watch this video

Explores the precision of finite element models and higher order asymptotic estimates.

Heat Transfer and Membrane Deformation Log in to Mediaspace to watch this video

Discusses membrane deformation, flow in planes, and heat transfer by conduction.

Approximate Weak Form: Galerkin Method Log in to Mediaspace to watch this video

Explores the Galerkin method for the approximate weak form in FEM.

Finite Element Method: Formulation and Approximations Log in to Mediaspace to watch this video

Covers the strong and integral formulations, weak formulation, and approximation of temperatures.

Conduction Heat Transfer: Formulations and Theorems Log in to Mediaspace to watch this video

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 Log in to Mediaspace to watch this video

Explores the strong and weak formulations of the finite element method.

Finite Element Method: Quadrangular Elements Log in to Mediaspace to watch this video

Explores basic functions and criteria in quadrangular finite elements using the finite element method.

Finite Element Method: 2D Analysis Log in to Mediaspace to watch this video

Explores the finite element method for 2D analysis, covering assembly, matrices, sources, and convergence criteria of quadrangular elements.

Quadrangular Finite Elements Log in to Mediaspace to watch this video

Explores quadrangular finite elements, node numbering, and application examples.

Quadrangular Finite Elements Log in to Mediaspace to watch this video

Covers the basic functions of quadratic and biquadratic rectangular elements and the serendipal family of regular rectangular finite elements.