Finite Element Method: Interpolation and Integration

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Page 3 of 4

Covers data manipulation and exploration using Python with a focus on visualization techniques.

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.

Covers the interpolation of nonlinear functions using Lagrange polynomials and error analysis.

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

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

Explores image interpolation, splines, wavelets, and geometric transformations in image processing.

Explores Lagrange interpolation, emphasizing uniqueness and simplicity in reconstructing functions from limited values.

Covers numerical integration methods, focusing on trapezoidal rules, degree of exactness, and error analysis.

Explores polynomial interpolation theory, emphasizing error expression and piecewise definition.