Finite Element Method: Local Approach

Related lectures (30)

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Explores solving linear equations, matrix uniqueness, and reduction methods with examples.

Covers the systematization and construction of a 2D finite element model.

Explores the precision of finite element models and higher order asymptotic estimates.

Covers the Gaussian elimination method for solving linear equations using row operations and equivalent matrices.

Covers matrix invertibility, determining if a matrix is invertible, calculating its inverse, and elementary matrices.

Covers the concept of inverse matrices and systems resolution, including the conditions for matrix invertibility and the Gauss-Jordan algorithm.

Covers numerical methods for solving boundary value problems using finite difference, FFT, and finite element methods.

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

Covers numerical methods for solving boundary value problems, including applications with the Fast Fourier transform (FFT) and de-noising data.