Finite Element Method vs Finite Volume Method and their applications

This podcast compares the Finite Element Method (FEM) and the Finite Volume Method (FVM), two numerical techniques for solving partial differential equations. FEM approximates solutions over elements within a mesh, excelling in complex geometries, while FVM conserves quantities across control volumes, making it ideal for fluid dynamics. Both methods involve discretizing the problem domain, but they differ in their approach to the governing equations and treatment of fluxes. The podcast outlines their mathematical formulations, key differences, and typical applications in various fields like structural analysis and computational fluid dynamics. Ultimately, the choice between FEM and FVM depends on the specific problem's characteristics and priorities.