Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 204, Issue 1, Pages 216-226Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2008.06.035
Keywords
stokes problem; nonlinear slip boundary; variational inequality; penalty finite element approximation; error estimate
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Funding
- Nature Science Foundation of China [10571142, 10701061]
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The penalty finite element method for Stokes problem with nonlinear slip boundary conditions, based on the finite element subspace (V-h, M-h) which satisfies the discrete inf-sup condition, is investigated in this paper. Since this class of nonlinear slip boundary conditions include the subdifferential property, the weak variational formulation associated with Stokes problem is variational inequality. Under some regularity assumptions, we obtain the optimal H-1 and L-2 error estimates between u and u(h), and between u and u(h)(g), where the error orders are epsilon+h for H-1 error and epsilon+h(2) for L-2 error. (C) 2008 Elsevier Inc. All rights reserved.
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