2005 article

Dispersion-reducing finite elements for transient acoustics

Yue, B., & Guddati, M. N. (2005, October 1). The Journal of the Acoustical Society of America, Vol. 118, pp. 2132–2141.

By: B. Yue n & M. Guddati n

topics (OpenAlex): Electromagnetic Simulation and Numerical Methods; Numerical methods in engineering; Acoustic Wave Phenomena Research
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

2003 article

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.

By: M. Guddati n & B. Yue n

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. (via Semantic Scholar)
Sources: Web Of Science, NC State University Libraries
Added: August 6, 2018

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