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November 2007 Analysis of conforming and nonconforming quadrilateral finite element methods for the Helmholtz equation
Ki-tak LEE, Taeyoung HA, Dongwoo SHEEN
Hokkaido Math. J. 36(4): 891-918 (November 2007). DOI: 10.14492/hokmj/1272848039

Abstract

In this paper we analyze numerical dispersion relation of some conforming and nonconforming quadrilateral finite elements. The elements employed in this analysis are the standard $Q_1$ conforming finite element, the DSSY nonconforming element [5] and the $P_1$-nonconforming quadrilateral finite element [14]. Several aspects of comparative analyses of the above three elements for two or three dimensional problems are shown.

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Ki-tak LEE. Taeyoung HA. Dongwoo SHEEN. "Analysis of conforming and nonconforming quadrilateral finite element methods for the Helmholtz equation." Hokkaido Math. J. 36 (4) 891 - 918, November 2007. https://doi.org/10.14492/hokmj/1272848039

Information

Published: November 2007
First available in Project Euclid: 3 May 2010

zbMATH: 1139.65074
MathSciNet: MR2378297
Digital Object Identifier: 10.14492/hokmj/1272848039

Subjects:
Primary: 81U30
Secondary: 35J05

Rights: Copyright © 2007 Hokkaido University, Department of Mathematics

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Vol.36 • No. 4 • November 2007
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