Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

33 Scopus Citations
View graph of relations

Author(s)

Related Research Unit(s)

Detail(s)

Original languageEnglish
Pages (from-to)807-823
Journal / PublicationDiscrete and Continuous Dynamical Systems - Series B
Volume7
Issue number4
Publication statusPublished - Jun 2007

Abstract

We carry out error estimation of a class of immersed finite element (IFE) methods for elliptic interface problems with both perfect and imperfect interface jump conditions. A key feature of these methods is that their partitions can be independent of the location of the interface. These quadratic IFE spaces reduce to the standard quadratic finite element space when the interface is not in the interior of any element. More importantly, we demonstrate that these IFE spaces have the optimal (slightly lower order in one case) approximation capability expected from a finite element space using quadratic polynomials.

Research Area(s)

  • Elliptic, Error estimates, Immersed finite element method, Interface, Jump condition