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 journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 807-823 |
| Journal / Publication | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 7 |
| Issue number | 4 |
| Publication status | Published - Jun 2007 |
Link(s)
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
Citation Format(s)
Error estimation of a class of quadratic immersed finite element methods for elliptic interface problems. / Lin, Tao; Lin, Yanping; Sun, Weiwei.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 7, No. 4, 06.2007, p. 807-823.
In: Discrete and Continuous Dynamical Systems - Series B, Vol. 7, No. 4, 06.2007, p. 807-823.
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
