A direct method is developed for obtaining the discrete solution of the polar coordinate form of Poisson's equation defined on a disk. The problem is solved subject to both Dirichlet and Neumann ...

SIAM Journal on Applied Mathematics, Vol. 42, No. 2 (Apr., 1982), pp. 430-451 (22 pages) Elliptic equations in exterior regions frequently require a boundary condition at infinity to ensure the ...

Finite element methods (FEM) continue to be a cornerstone of computational science, offering robust strategies for the numerical solution of partial differential equations, including those governing ...