Post-processing with computable error bounds for the finite element approximation of a nonlinear heat conduction problem期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Post-processing with computable error bounds for the finite element approximation of a nonlinear heat conduction problem

Authors:	AINSWORTH M; KELLY D W; SLOAN I H; WANG S L

Institution:	Mathematics Department, Leicester University Leicester LE1 7RH, UK School of Mechanical and Manufacturing Engineering, University of New South Wales Sydney 2052, Australia School of Mathematics, University of New South Wales Sydney 2052, Australia School of Mathematics and Statistics, Curtin University of Technology GPO Box U1987, Perth 6001, Australia

Abstract:	${dagger}$ Email: ain{at}mcs.le.ac.uk ${ddagger}$ 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.

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