Analysis of Two-Grid Characteristic Finite Element Methods for Convection-Diffusion Equations

Keyan Wang, Boxia Hu and R. U. Gobithaasan

Journal of Mathematics, 2023, vol. 2023, 1-14

Abstract: In this paper, two efficient two-grid algorithms for the convection-diffusion problem with a modified characteristic finite element method are studied. We present an optimal error estimate in Lp-norm for the characteristic finite element method unconditionally, while all previous works require certain time-step restrictions. To linearize the characteristic method equations, two-grid algorithms based on the Newton iteration approach and the correction method are applied. The error estimate and the convergence result of the two-grid method are derived in detail. It is shown that the coarse space can be extremely coarse and achieve asymptotically optimal approximations as long as the mesh sizes H=Oh1/3 in the first algorithm and H=Oh1/4 in the second algorithm, respectively. Finally, two numerical examples are presented to demonstrate the theoretical analysis.

Date: 2023
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2023/6322303.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2023/6322303.xml (application/xml)

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:hin:jjmath:6322303

DOI: 10.1155/2023/6322303

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().