Stability and Phase Speed for Various Finite Element Formulations of the Advection Equation

dc.contributor.author	Neta, Beny
dc.contributor.author	Williams, R. T.
dc.date	1986
dc.date.accessioned	2014-03-12T22:48:01Z
dc.date.available	2014-03-12T22:48:01Z
dc.date.issued	1986
dc.identifier.uri	https://hdl.handle.net/10945/39483
dc.description	Computers and Fluids, 14, (1986), 393–410.	en_US
dc.description.abstract	This paper analyzes the stability and accuracy of various finite element approximations to the linearized two-dimensional advection equation. Four triangular elements with linear basis functions are included along with a rectangular element with bilinear basis functions. In addition, second-and fourth-order finite difference schemes are examined for comparison. Time is discretized with the leapfrog method. The criss-cross triangle formulation is found to be unstable. The best schemes are the isosceles triangles with linear basis functions and the rectangles with bilinear basis functions.	en_US
dc.rights	This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.	en_US
dc.title	Stability and Phase Speed for Various Finite Element Formulations of the Advection Equation	en_US
dc.contributor.department	Applied Mathematics	en_US

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