Finite Element Method: Global Equivalence and Shape Functions

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Explores the local approach of the finite element method, covering elementary matrices, assembly operations, stiffness matrix, system of equations, and practical examples.

Numerical Methods: Boundary Value Problems

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.

Linear Statics of Deformable Solids

Introduces linear statics for linear elastic solids in small deformations, stress equilibrium, the Virtual Work Principle, and the Finite Element Method.

Equivalence of Strong and Weak Formulations

Explores the equivalence between strong and weak formulations in the finite element method.

Finite Element Discretization: Heat Equation

Explores finite element discretization of the heat equation and its verification process.

Finite Element Analysis: Advanced Mechanisms in Engineering

Provides an overview of advanced mechanisms analysis using Finite Element Method and Finite Element Analysis in engineering applications.

Variational Formulation: Weak Formulations & Galerkin

Explores weak formulations, Galerkin method, and variational formulations in finite element methods.

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: Weak Formulation and Applications

Explores integral and weak formulations in Finite Element Method applications.

Numerical Methods for Boundary Value Problems

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.