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Lecture
Finite Element Method: Basics
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Finite Element Discretization: Heat Equation
Explores finite element discretization of the heat equation and its verification process.
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.
Finite Differences and Finite Elements: Variational Formulation
Discusses finite differences and finite elements, focusing on variational formulation and numerical methods in engineering applications.
Finite Element Method: Equivalence of Strong and Weak Formulations
Explores the equivalence between strong and weak formulations in the Finite Element Method, along with the Galerkin method.
Numerical Flow Simulation: Discretization Methods & Fluid Interfaces
Covers discretization methods and fluid interfaces in numerical flow simulation.
Finite Element Method: Global Approach
Explores the finite element method's global approach, including shape functions and systematization.
Finite Element Method: Higher Order Models
Explores precision of higher order finite element models and applications of quadratic finite elements in elastodynamics.
Numerical Methods for Boundary Value Problems
Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.
Other Topics: Techniques for Fluid Interfaces
Explores numerical methods for fluid dynamics and techniques for handling fluid interfaces.
Finite Elements: Problem with Limits
Covers the application of finite element methods to solve boundary value problems in one dimension.