Liu, W.B. and Yan, N. (2002) Quasi-Norm Local Error Estimates For Finite Element Approximation of P-Laplacian. SIAM, Journal on Numerical Analysis, 39 (1). pp. 100-127. ISSN 0036-1429 .
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In this paper, we extend the quasi-norm techniques used in a priori error estimation of finite element approximation of degenerate nonlinear systems in order to carry out an improved a posteriori error analysis for the p-Laplacian. We derive quasi-norm a posteriori error estimators of residual type, which are shown to provide improved upper and lower bounds on the discretization error. For sufficiently regular solutions, these estimators are further shown to be equivalent on the discretization error in a quasi norm. Numerical results demonstrating these a posteriori estimators are also presented.
|Uncontrolled keywords:||finite element approximation, p-Laplacian, a posteriori error estimators, quasi- norm error bounds|
|Subjects:||H Social Sciences > HA Statistics > HA33 Management Science|
|Divisions:||Faculties > Social Sciences > Kent Business School|
|Depositing User:||Steve Wenbin Liu|
|Date Deposited:||18 Oct 2008 23:10|
|Last Modified:||14 Jan 2010 14:31|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/8517 (The current URI for this page, for reference purposes)|
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