Finite Element Method: Basis Functions

Related lectures (31)

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Covers the basics of numerical analysis, focusing on interpolation methods and their applications in engineering.

Covers finite element methods for solving diffusion problems in porous media, including meshing, interpolation, and weighted residuals.

Covers the Finite Element Method, discussing the derivation of the equation of motion and exploring mass and stiffness matrices.

Covers Lagrange interpolation using intervals to find accurate polynomial approximations.

Explores error analysis and limitations in interpolation on evenly distributed nodes.

Covers the isoparametric formulation of the Quad4 planar element and stiffness matrix calculation.

Covers the derivation of the equation of motion, interpolation, Newton's equation, and energy conservation in finite element modeling.

Introduces the basics of finite element modeling for dynamics and discusses the Newmark method for time integration.

Explores trigonometric interpolation for approximating periodic functions and signals using equally spaced nodes.

Covers advanced numerical analysis topics including deep neural networks and optimization methods.