 Unconditional superconvergence analysis of a new mixed finite element method for nonlinear Sobolev equationShi Dongyang, Yan Fengna and Wang Junjun Applied Mathematics and Computation, 2016, vol. 274, issue C, 182-194 Abstract: In this paper, a new mixed finite element scheme is proposed for the nonlinear Sobolev equation by employing the finite element pair Q11/Q01 × Q10. Based on the combination of interpolation and projection skill as well as the mean-value technique, the τ-independent superclose results of the original variable u in H1-norm and the variable q→=−(a(u)∇ut+b(u)∇u) in L2-norm are deduced for the semi-discrete and linearized fully-discrete systems (τ is the temporal partition parameter). What’s more, the new interpolated postprocessing operators are put forward and the corresponding global superconvergence results are obtained unconditionally, while previous literature always require certain time step conditions. Finally, some numerical results are provided to confirm our theoretical analysis, and show the efficiency of the method. Keywords: Nonlinear Sobolev equation; Mixed finite element method; Semi-discrete and fully-discrete schemes; τ-independent superclose and superconvergence results (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:182-194 DOI: 10.1016/j.amc.2015.09.004 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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