Thumbnail
Access Restriction
Open

Author Sueli, E.
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ♦ FINITE ELEMENT METHOD ♦ EVALUATION ♦ FLUID FLOW ♦ MATHEMATICAL MODELS ♦ PARTIAL DIFFERENTIAL EQUATIONS ♦ ANALYTICAL SOLUTION ♦ TWO-DIMENSIONAL CALCULATIONS ♦ CALCULATION METHODS ♦ DIFFERENTIAL EQUATIONS ♦ EQUATIONS ♦ NUMERICAL SOLUTION 661300* -- Other Aspects of Physical Science-- (1992-)
Abstract For linear first-order hyperbolic equations in two dimensions we restate the cell vertex finite volume scheme as a finite element method. On structured meshes consisting of distorted quadrilaterals, the global error is shown to be of second order in various mesh-dependent norms, provided that the quadrilaterals are close to parallelograms in the sense that the distance between the midpoints of the diagonals is of the same order as the measure of the guadrilateral. On tensor product nonuniform meshes, the cell vertex scheme coincides with the familiar box scheme. In this case, second-order accuracy is shown without any additional assumption on the regularity of the mesh, which explains the insensitivity of the cell vertex scheme to mesh stretching in the coordinate directions, observed in practice. 17 refs.
ISSN 00255718
Educational Use Research
Learning Resource Type Article
Publisher Date 1992-10-01
Publisher Place United States
Journal Mathematics of Computation
Volume Number 59
Issue Number 200


Open content in new tab

   Open content in new tab