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Modified cross-grid finite elements for the stokes problem

✍ Scribed by Seungwoo Hong; Kyungsoo Kim; Sungyun Lee

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 333 KB
Volume: 16
Category: Article
ISSN: 0893-9659
DOI: 10.1016/s0893-9659(02)00144-1

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✦ Synopsis

The stability of modified cross-grid elements for the approximation of the Stokes problem using continuous piecewise linear polynomials to approximate velocities and piecewise constants to approximate pressures is proved. A key feature of the method is that the mesh for pressure is modified so that the method is stable without augmenting pressure jumps. A numerical test which confirms the stability and the optimal order error estimate is presented. (~) 2002 Elsevier Science Ltd. All rights reserved.

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