Finite Element Method: Equivalence of Strong and Weak Formulations

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Numerical Methods: Boundary Value Problems

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

Finite Element Method: Local Approach

Explores the local approach in the finite element method, covering nodal shape functions and assembly.

Finite Element Discretization: Heat Equation

Explores finite element discretization of the heat equation and its verification process.

Finite Elements: Problem with Limits

Covers the application of finite element methods to solve boundary value problems in one dimension.

Finite Element Method: Weak Formulation and Applications

Explores integral and weak formulations in Finite Element Method applications.

Finite Element Space: Conforming Mesh

Covers finite element spaces, conforming mesh construction, Galerkin error analysis, and best approximation error.

Continuity and Galerkin Method

Introduces continuity in function spaces and the Galerkin method for solving boundary value problems.

Finite Element Method: Global vs Local Approach

Compares the global and local approaches of the Finite Element Method.

Finite Elements: Elasticity and Variational Formulation

Explores finite element methods for elasticity problems and variational formulations, emphasizing admissible deformations and numerical implementations.

Finite Element Method: Global Approach

Explains the finite element method's global approach and its application examples.