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- Title
Superconvergent estimates of conforming finite element method for nonlinear time-dependent Joule heating equations.
- Authors
Shi, Dongyang; Yang, Huaijun
- Abstract
In this article, we study the superconvergence analysis of conforming bilinear finite element method (FEM) for nonlinear Joule heating equations. Based on the rigorous estimates together with high accuracy analysis of this element, mean value technique and interpolation postprocessing approach, the superclose and superconvergent estimates about the related variables in H1-norm are derived for semidiscrete and a linearized backward Euler fully discrete schemes, which extends the results of optimal estimates obtained for conforming FEMs in the previous literature. At last, a numerical experiment is performed to verify the theoretical analysis.
- Subjects
SUPERCONVERGENT methods; FINITE element method; RESISTANCE heating; INTERPOLATION; NUMERICAL analysis
- Publication
Numerical Methods for Partial Differential Equations, 2018, Vol 34, Issue 1, p336
- ISSN
0749-159X
- Publication type
Article
- DOI
10.1002/num.22202