LEE Ki-tak, HA Taeyoung, SHEEN Dongwoo,
Analysis of conforming and nonconforming quadrilateral finite element methods for the Helmholtz equation.
Hokkaido Mathematical Journal, 36 (2007) pp.891-918
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  and the $P_1$-nonconforming quadrilateral finite element . Several aspects of comparative analyses of the above three elements for two or three dimensional problems are shown.
|Uncontrolled Keywords||dispersion relation, Helmholtz equation, finite elements|