Showing papers by "Eli Turkel published in 1998"
TL;DR: In this paper, the authors consider absorbing layers that are extensions of the PML of Berenger (1994), which are constructed both for time problems and for Helmholtz-like equations.
338 citations
TL;DR: High-order finite difference methods for solving the Helmholtz equation are developed and analyzed, in one and two dimensions on uniform grids, and a symmetric high-order representation is developed for a Neumann boundary condition.
163 citations
17 citations
01 Jan 1998
TL;DR: In this article, the authors consider ways of reducing systems of constant coefficient differential equations to a set of scalar equations, which is equivalent to using a congruence transformation to diagonalize the steady state equations.
Abstract: We consider ways of reducing systems of constant coefficient differential equations to a set of scalar equations. For two dimensional systems in (x,y) this is done in general. When one introduces a time variable in addition to the two space variables this can be analyzed by introducing a preconditioned system. This is equivalent to using a congruence transformation to diagonalize the steady state equations.
11 citations
01 Nov 1998
2 citations
01 Dec 1998
TL;DR: In this paper, the authors considered numerical solutions for the three dimensional time dependent Maxwell equations and constructed a fourth order accurate compact implicit scheme and compared it to the Yee scheme for free space in a box.
Abstract: We consider numerical solutions for the three dimensional time dependent Maxwell equations. We construct a fourth order accurate compact implicit scheme and compare it to the Yee scheme for free space in a box.