Local Projection Stabilization Method for Incompressible Flow Problems
2012 ◽
Vol 17
(2)
◽
pp. 187
Keyword(s):
We analyze Local Projection Stabilization (LPS) methods for the solution of Stokes problem using equal order finite elements. We investigate their convergence, stability and accuracy properties. The resulting stabilized method is shown to lead to optimal rates of convergence for both velocity and pressure approximations. We distinguish two classes of LPS methods: one-level and two-level methods. Numerical examples using bilinear interpolations are presented to validate the analysis and assess the accuracy of both approaches.
2012 ◽
Vol 12
(2)
◽
Keyword(s):
1982 ◽
Vol 16
(1)
◽
pp. 49-66
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2017 ◽
Vol 74
(2)
◽
pp. 667-692
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Keyword(s):
2008 ◽
Vol 77
(264)
◽
pp. 2039-2060
◽
2017 ◽
Vol 313
◽
pp. 28-52
◽
Keyword(s):
Keyword(s):