Modified integration rules for reducing dispersion error in finite element methods
Guddati, M. N., & Yue, B. (2003, December 5). Computer Methods in Applied Mechanics and Engineering, Vol. 193, pp. 275–287.
author keywords: wave propagation; numerical dispersion; numerical integration; Helmholtz equation
topics (OpenAlex): Electromagnetic Simulation and Numerical Methods; Numerical methods in engineering; Advanced Numerical Methods in Computational Mathematics
TL;DR:
The method involves a simple shift of the integration points to locations away from conventional Gauss or Gauss–Lobatto integration points, which results in fourth-order accuracy with respect to dispersion error (error in wavelength), as opposed to the second- order accuracy resulting from conventional integration.
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