Finite element method (FEM) is a popular method for numerically
solving differential equations arising in engineering and mathematical
modeling. Typical problem areas of interest include the traditional fields of
structural analysis, heat transfer, fluid flow, mass transport, and
electromagnetic potential. Computers are usually used to perform the
calculations required. With high-speed supercomputers, better solutions can be
achieved and are often required to solve the largest and most complex
problems.
FEM is a general numerical method for solving partial differential equations
in two- or three-space variables (i.e., some boundary value problems). There
are also studies about using FEM to solve high-dimensional problems.