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Analysis of conforming and nonconforming quadrilateral finite element methods for the Helmholtz equation
2007
Hokkaido Mathematical Journal
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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.
doi:10.14492/hokmj/1272848039
fatcat:ywu3ptbbzzbjzisettqxhczaga