The adaptive Ciarlet–Raviart mixed method for biharmonic problems with simply supported boundary condition

Yidu Yang, Hai Bi and Yu Zhang

Applied Mathematics and Computation, 2018, vol. 339, issue C, 206-219

Abstract: In this paper, we study the adaptive fashion of the Ciarlet–Raviart mixed method for biharmonic equation/eigenvalue problem with simply supported boundary condition in Rd. We propose an a posteriori error indicator of the Ciarlet–Raviart approximate solution for the biharmonic equation and an a posteriori error indicator of the Ciarlet–Raviart approximate eigenfuction, and prove the reliability and efficiency of the indicators. We also give an a posteriori error indicator for the approximate eigenvalue and prove its reliability. We design an adaptive Ciarlet–Raviart mixed method with piecewise polynomials of degree less than or equal to m, and numerical experiments show that numerical eigenvalues obtained by the method can achieve the optimal convergence order O(dof−2md)(d=2,m=2,3;d=3,m=3).

Keywords: Ciarlet–Raviart mixed method; A priori/a posteriori error estimates; Biharmonic equation; Biharmonic eigenvalue problem; Simply supported boundary condition (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300318305721
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:339:y:2018:i:c:p:206-219

DOI: 10.1016/j.amc.2018.07.014

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 ().