Random Walk, Laplace Equation, Poisson Equation, Brownian Motion, Maxwell Boltzmann.
(4) with φ(D) given on a boundary D, resulting in a Dirichlet boundary value problem. The Finite Element Method (FEM) is the best known method for numerically solving the equation in engineering applications. The FEM is a key algorithm in computational solvers such as ANSYS and COMSOL. The FEM