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论文类型：期刊论文

发表时间：2020-01-15

发表刊物：JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

收录刊物：EI、SCIE

卷号：364

ISSN号：0377-0427

关键字：Quadrilateral P-1-nonconforming element; Stokes equations; Stability; Superconvergence

摘要：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.