Finite Element Method: Quadratic Elements

Related lectures (29)

Page 2 of 3

Delves into Oppenheim's conjecture on quadratic forms and their connection to number theory.

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.

Introduces linear equations, matrices, systems of equations, and solution sets for 2 or 3 unknowns.

Explores basic functions and criteria in quadrangular finite elements using the finite element method.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Explores the classification of quadratic forms based on eigenvalues and orthogonal diagonalization of symmetric matrices.

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Explores complex roots, conjugate pairs, and quadratic equations solving strategies.

Explores the theory of Hermitian spaces and their applications in quadratic forms and codimension 1 spaces.

Covers the definition of linear equations, systems, solutions, and representations in 2D and 3D.