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AINSWORTH M.; KELLY D. W.; SLOAN I. H.; WANG S. L. 《IMA Journal of Numerical Analysis》1997,17(4):547-561
Email: ain{at}mcs.le.ac.uk Email: D.Kelly{at}unsw.edu.au* Email: I.Sloan{at}unsw.edu.au** Email: swang{at}cs.curtin.edu.au It is shown how the finite element approximation of a nonlinearheat conduction problem may be post-processed to yield enhancedapproximations to the solution and the flux at any point inthe domain. Sharp computable bounds on the accuracy of the post-processedapproximations are derived. A criterion is identified for guidingadaptive refinements of the finite element discretization. Anumerical example is given illustrating the theoretical results. 相似文献
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