Finite element method
The finite element method (FEM) is a numerical technique used to find approximate solutions to problems in engineering and the physical sciences. It is particularly useful for problems involving complex geometries and boundary conditions.
About
It is particularly useful for problems involving complex geometries and boundary conditions. The method involves dividing a problem domain into a large number of smaller, simpler regions called finite elements. The behavior of each finite element is then approximated using simple, known mathematical functions. These approximations are combined to create a system of equations that can be solved to obtain an approximate solution for the entire problem domain. The FEM has been widely used in various fields, including structural analysis, fluid dynamics, heat transfer, and electromagnetics. It has proven to be a powerful tool for analyzing and simulating a wide range of physical phenomena. The Wikipedia page on the finite element method provides an in-depth explanation of the method, its mathematical formulation, applications, and historical development. It also includes information on the advantages and limitations of the method, as well as notable software packages and research contributions in the field.