On Quasi-Norm Interpolation Error Estimation And A Posteriori Error Estimates for p-Laplacian

Authors:
Wenbin Liu;Ningning Yan
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2002

Citing 0
Cited 2

Multiple nonnegative solutions for an elliptic boundary value problem involving combined nonlinearities

Mathematical and Computer Modelling: An International Journal
Reliable and efficient a posteriori error estimates for finite element approximations of the parabolic p-Laplacian

Calcolo: a quarterly on numerical analysis and theory of computation

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Abstract

In this paper, we establish a series of interpolation error estimates for several widely used averaging interpolators in some quasi norms. These estimates are among the key ingredients in our improved a posteriori error analysis for the p-Laplacian. The quasi-norm interpolation error estimates are used to derive a posteriori error estimators for some conforming and nonconforming finite element approximation of the p-Laplacian, which are shown to provide upper and lower bounds for the discretization error.