Unconditional superconvergence analysis of conforming finite element for nonlinear parabolic equation

Dongyang Shi and Junjun Wang

Applied Mathematics and Computation, 2017, vol. 294, issue C, 216-226

Abstract: Galerkin finite element approximation to nonlinear parabolic equation is studied with a linearized backward Euler scheme. The error between the exact solution and the numerical solution is split into two parts which are called the temporal error and the spatial error through building a time-discrete system. On one hand, the temporal error derived skillfully leads to the regularity of the time-discrete system solution. On the other hand, the τ-independent spatial error and the boundedness of the numerical solution in L∞-norm is deduced with the above achievements. At last, the superclose result of order O(h2+τ) in H1-norm is obtained without any restriction of τ in a routine way. Here, h is the subdivision parameter, and τ, the time step.

Keywords: Nonlinear parabolic equation; Temporal error and spatial error; Unconditional; Superclose result (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (7)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300316305197
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:294:y:2017:i:c:p:216-226

DOI: 10.1016/j.amc.2016.08.024

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().