Asymptotically exact a posteriori estimators for the pointwise gradient error on each element in irregular meshes. Part II: The piecewise linear case |
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| Authors: | Alfred H Schatz Lars B Wahlbin |
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| Institution: | Department of Mathematics, Cornell University, Ithaca, New York 14853 ; Department of Mathematics, Cornell University, Ithaca, New York 14853 |
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| Abstract: | We extend results from Part I about estimating gradient errors elementwise a posteriori, given there for quadratic and higher elements, to the piecewise linear case. The key to our new result is to consider certain technical estimates for differences in the error,  , rather than for  itself. We also give a posteriori estimators for second derivatives on each element. |
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