Remarks on a posteriori error estimation for finite element solutions

Authors:
Fumio Kikuchi;Hironobu Saito
Affiliations:
Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, Japan;COMPS Information Technology Institute, Tokyo, Japan
Venue:
Journal of Computational and Applied Mathematics - Special issue: Scientific computing, computer arithmetic, and validated numerics (SCAN 2004)
Year:
2007

Citing 4
Cited 0

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Abstract

We utilize the classical hypercircle method and the lowest-order Raviart-Thomas H(div) element to obtain a posteriori error estimates of the P1 finite element solutions for 2D Poisson's equation. A few other estimation methods are also discussed for comparison. We give some theoretical and numerical results to see the effectiveness of the methods.