Finite Element Method: Isoparametric Formulation

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

Explores Gauss-Legendre quadrature formulas using Legendre polynomials for accurate function approximation.

Covers the Newton method for finding zeros of functions using data interpolation.

Explains the iso-parametric formulation of the quad4 planar element and the calculation of the stiffness matrix.

Explains the construction of basis functions in the Finite Element Method, focusing on local to global mapping and numerical accuracy.

Explores interpolation of regular functions, error analysis, convergence, and Chebyshev polynomials.

Covers the fundamentals of finite element analysis, including traction and interpolation functions.

Covers the least squares method for approximating data and handling errors.

Explores the benefits of deeper networks in deep learning and the importance of over-parameterization and generalization.

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