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Finite element methods
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Related lectures (29)
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Numerical Analysis: Introduction to Interpolation Techniques
Covers the basics of numerical analysis, focusing on interpolation methods and their applications in engineering.
Heat Equation in 1D: Chapter 12
Explores the heat equation in 1D, emphasizing conservation of thermal energy and numerical solution methods.
Introduction to Partial Differential Equations
Covers the basics of Partial Differential Equations, focusing on heat transfer modeling and numerical solution methods.
Iso-parametric Formulation of Quad4 Element
Explains the iso-parametric formulation of the quad4 planar element and the calculation of the stiffness matrix.
Finite Element Modeling: Dynamics
Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.
Distribution & Interpolation Spaces
Explores distribution and interpolation spaces, differential operators, Fourier transform, Schwartz space, fundamental solutions, Farrier transform, and uniform continuity.
Climate Modeling: Equations, Numerical Solutions, and Uncertainties
Explores the equations and numerical solutions in climate modeling, highlighting uncertainties in climate projections.
Numerical Analysis: Advanced Topics
Covers advanced topics in numerical analysis, focusing on techniques for solving complex mathematical problems.
Example: 1D steady diffusion
Explores the numerical simulation of steady convection-diffusion problems, discretization, boundary conditions, and algebraic system assembly.