A Posteriori Error Estimates for Finite Element Approximation of Parabolic p-Laplacian

Authors:
Carsten Carstensen;Wenbin Liu;Ningning Yan
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2006

Citing 0
Cited 2

A Posteriori Error Estimates for Finite Element Approximation of Unsteady Incompressible Stochastic Navier-Stokes Equations

SIAM Journal on Numerical Analysis
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 derive a posteriori error estimates in the quasi-norm for the finite element approximation of the parabolic p-Laplacian. We obtain a posteriori error bounds for the semidiscrete scheme and the fully backward Euler discretization. We show that the new a posteriori error estimators provide both upper and lower bounds on the discretization error.