A Comparison of Finite Element Error Bounds for Poisson's Equation
- 1 January 1981
- journal article
- Published by Oxford University Press (OUP) in IMA Journal of Numerical Analysis
- Vol. 1 (1) , 95-103
- https://doi.org/10.1093/imanum/1.1.95
Abstract
Computable finite element error bounds are developed for approximation by: (1) piecewise bilinear elements over rectangles and (2) piecewise linear elements over triangles. These theoretical bounds are then compared with numerical values obtained by solving a variety of test problems. For the energy semi-norm, the bounds are comparable to the actual errors, which demonstrates the usefulness of these results.Keywords
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