Finite Element Method: Weak Formulation and Applications

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Explores the local approach of the finite element method, covering nodal shape functions, solution restrictions, sizes, boundary conditions, and assembly operations.

Finite Difference Method: Approximating Derivatives and Equations

Introduces the finite difference method for approximating derivatives and solving differential equations in practical applications.

Finite Elements: Variational Formulation

Explains the variational form in finite elements and the use of basic functions.

Finite Element Method: Local Approach

Explores the local approach in the finite element method, covering nodal shape functions and assembly.

Computational Geomechanics: Week 4

Explores transient flow in porous media, covering governing equations, stability conditions, and numerical methods.

Finite Element Method: Transmission Line Analysis

Covers the finite element method for transmission line analysis, including steps to minimize power loss and boundary conditions.

Finite Element Method: Linear Statics

Explores the Finite Element Method applied to linear statics of deformable solids.

The Finite Volume Method

Covers the Finite Volume Method for numerical flow simulation, including conservation equations, discretization methods, and boundary conditions.

Numerical Groundwater Flow Resolution

Explains the numerical resolution of groundwater flows using finite differences and demonstrates the method with Excel.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.