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Mathematical & Computational Physics

Finite Element Method (FEM)

A numerical technique for solving complex partial differential equations by subdividing a large physical domain into smaller, simpler finite sub-domains called elements.

Governing formula K u = f (Global Stiffness Matrix Equation)
SI unit Numerical Mesh Method

In depth

Discretizes complex geometries into triangular or tetrahedral meshes. Formulates weak variational equations over basis shape functions on each element, assembling a global matrix system K u = f.

Examples in the real world

Engineering stress analysis in bridges and thermal heat distribution in turbine blades.