Article citationsMore>>

I. Singer and E. Turkel, “High-Order Finite Difference Methods for the Helmholtz Equation,” Computer Methods in Applied Mechanics and Engineering, Vol. 163, No. 1-4, 1998, pp. 343-358.
http://dx.doi.org/10.1016/S0045-7825(98)00023-1

has been cited by the following article:

• TITLE: A Semi-Analytical Method for the Solution of Helmholtz Equation

  AUTHORS: M. Tadi

  KEYWORDS: Helmholtz Equation; Elliptic Systems; High Wavenumber

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.1 No.5, October 22, 2013

  ABSTRACT: This note is concerned with a semi-analytical method for the solution of 2-D Helmholtz equation in unit square. The method uses orthogonal functions to project the problem down to finite dimensional space. After the projection, the problem simplifies to that of obtaining solutions for second order constant coefficient differential equations which can be done analytically. Numerical results indicate that the method is particularly useful for very high wave numbers.