An adaptive coupling method for exterior anisotropic elliptic problems

Quan Zheng, Feng Qin and Yue Gao

Applied Mathematics and Computation, 2016, vol. 273, issue C, 410-424

Abstract: In this paper, we propose an adaptive coupling method for solving anisotropic elliptic PDEs in unbounded domains. Firstly, the existence and the uniqueness of the solution for the coupling method are proven, and the a priori error estimates in H1-norm and L2-norm that depend on the size of the FEM mesh, the location of the elliptic artificial boundary and the truncation of the infinite series in the artificial boundary integral condition are derived. Secondly, the a posteriori error estimates and the a posteriori error indicator of the coupling method are obtained. Finally, the adaptive coupling method refines the mesh distribution by the arc-length equidistribution principle and the a posteriori error indicator successively. Numerical examples confirm the advantage in accuracy and efficiency for the proposed method.

Keywords: Exterior anisotropic elliptic problems; Elliptic artificial boundary; Coupling method; A posteriori error estimate; h-adaptive method; r-adaptive method (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630031501351X
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:273:y:2016:i:c:p:410-424

DOI: 10.1016/j.amc.2015.10.019

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 ().