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 ...

SIAM Journal on Numerical Analysis, Vol. 21, No. 2 (Apr., 1984), pp. 285-299 (15 pages) We present fast methods for solving Laplace's and the biharmonic equations on irregular regions with smooth ...

The study of the Euler-Poisson and Euler-Maxwell systems, which couple fluid dynamics with electrostatic or electromagnetic fields, has long been central to the modelling of plasmas and other ionised ...

We solve the nonlinear Poisson–Boltzmann (P–B) equation of statistical thermodynamics for the external electrostatic potential of a uniformly charged flat plate immersed in an unbounded strong aqueous ...