Lectures related to Finite Element Method: 2D Analysis

Lax-Milgram: Variational Problems and Riesz's Theorem

Explores the Lax-Milgram theorem, variational problems, and Riesz's representation theorem in linear elliptic problems.

Finite Element Modeling: Systematization and Construction

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

Determinants and Row Echelon Form

Covers determinants, row echelon form, properties, and geometric interpretation of determinants.

Elementary Matrices and Inverses

Covers elementary matrices, their properties, and the algorithm to find the inverse of a matrix.

Finite Element Method: Local Approach

Explores the local approach of the finite element method, covering nodal shape functions, solution restrictions, sizes, boundary conditions, and assembly operations.

Elementary Matrices and Inverses

Explores elementary matrices, inverses, uniqueness of solutions, and linear transformations in linear algebra.

Linear Systems: Chapters 4, 5, 6

Explores the link between linear systems and optimization through elimination and LU decomposition.