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Indexed by:Journal Papers

Date of Publication:2020-01-15

Journal:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Included Journals:EI、SCIE

Volume:364

ISSN No.:0377-0427

Key Words:Quadrilateral P-1-nonconforming element; Stokes equations; Stability; Superconvergence

Abstract:Two quadrilateral low-order equal-order finite element schemes are analyzed for Stokes equations. Both of these schemes adopt the quadrilateral P-1-nonconforming finite element to approximate the pressure over a coarser mesh. The velocity spaces are constructed over a finer mesh, where the standard Q(1)-conforming element space and the quadrilateral P-1 -nonconforming element space are selected, respectively. The stability assertion is given for each pair. Moreover, the superconvergence property of the pressure is obtained over uniform rectangular meshes. All the analyses above are verified by numerical tests. (C) 2019 Elsevier B.V. All rights reserved.