Finite Element Method: Weak Formulation and Galerkin Method

Related lectures (30)

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Explores the applications of the Fourier equation in heat transfer phenomena.

Covers the strong and integral formulations, weak formulation, and approximation of temperatures.

Explains finite difference grids for computing solutions of elastic membranes using Laplace's equation and numerical methods.

Explores weak formulations, Galerkin method, and variational formulations in finite element methods.

Discusses mapping local to global coordinates in finite element analysis and the importance of vertex numbering.

Explores the Finite Element Method applied to linear statics of deformable solids.

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

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

Explains the numerical resolution of groundwater flows using finite differences and demonstrates the method with Excel.

Covers internal heat transfer effects in heterogeneous reactions, emphasizing dimensionless numbers and transport effects.