Superconvergence analysis of nonconforming FEM for nonlinear time-dependent thermistor problem

Dongyang Shi and Huaijun Yang

Applied Mathematics and Computation, 2019, vol. 347, issue C, 210-224

Abstract: In this paper, we study the superconvergence analysis of nonlinear time-dependent thermistor problem with the well-known nonconforming element, i.e., the extension of the rotated bilinear element (denoted EQ1rot), for the semi-discrete and a linearized backward Euler fully-discrete schemes. The superclose and superconvergent estimates about the related variables in broken H1-norm are derived with the help of the rigorous analysis together with the special properties of this element, mean value technique and interpolated post-processing approach. Finally, a numerical experiment is carried out to confirm the theoretical analysis.

Keywords: Nonlinear Joule heating equations; nonconforming FEM; Semi-discrete and a linearized fully-discrete schemes; Superclose and superconvergent estimates (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:347:y:2019:i:c:p:210-224

DOI: 10.1016/j.amc.2018.10.018

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