Summary The Dirichlet-to-Neumann (DtN) Finite Element Method is a general technique for
the solution of problems in unbounded domains, which arise in many fields of application. Its …

While numerically solving a problem initially formulated on an unbounded domain, one
typically truncates this domain, which necessitates setting the artificial boundary conditions …

In various areas of applied mechanics, there are instances where it is necessary or
beneficial to represent the behavior of a mechanical system on an artificial boundary, or …

Dirichlet-to-Neumann (DtN) boundary conditions for unbounded wave guides in two and
three dimensions are derived and analyzed, defining problems that are suitable for finite …

We develop, implement, and demonstrate a reflectionless sponge layer for truncating
computational domains in which the time-dependent Maxwell equations are discretized with …

In this paper we describe an algorithm for the nonlocal artificial boundary conditions setting
at the external boundary of a computational domain while numerically solving unbounded …

We consider an unbounded steady-state flow of viscous fluid over a three-dimensional finite
body or configuration of bodies. For the purpose of solving this flow numerically, we …

The compressible Navier–Stokes equations belong to the class ofincompletely
parabolicsystems. The general method developed by Laurence Halpern for deriving artificial …

Numerical solution of infinite-domain boundary-value problems requires some special
techniques that would make the problem available for treatment on the computer. Indeed …

Potentials Method and Its Applications,” Mathematische Nachrichten, Vol. 177, Feb. 1996,
pp. 251–264]; it extends the previous technique developed for the two-dimensional case …