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Lecture
Finite Element Method: Global Approach
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Finite Element Method: Basics
Introduces the basics of the finite element method, including strong and weak formulations.
Finite Element Method: Local Approach
Explores the local approach of the finite element method, covering elementary matrices, assembly operations, stiffness matrix, system of equations, and practical examples.
Numerical Flow Simulation: Methods and Applications
Explores numerical methods for flow simulation, including finite element, spectral, particle, and lattice Boltzmann methods.
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.
Numerical Groundwater Flow Resolution
Explains the numerical resolution of groundwater flows using finite differences and demonstrates the method with Excel.
Finite Difference Methods: Heat Equation Discretization
Explains finite difference methods for heat equation discretization, emphasizing stability and precision in numerical solutions.
Finite Element Method: Formulation and Approximations
Covers the strong and integral formulations, weak formulation, and approximation of temperatures.
Numerical Methods: Boundary Value Problems
Covers numerical methods for solving boundary value problems using Crank-Nicolson and FFT.
Hydroacoustic Modeling: Electrical Analogy
Explores hydroacoustic modeling through electrical analogies, discussing resolution methods, simplified equations, and physical interpretations.
Path Integrals and Metadynamics
Explores path integrals, metadynamics, quantum effects, and exchange effects in simulations.