Abstract
This article discusses a bilinear immersed finite element (IFE) space for solving second-order elliptic boundary value problems with discontinuous coefficients (interface problem). This is a nonconforming finite element space and its partition can be independent of the interface. The error estimates for the interpolation of a Sobolev function indicate that this IFE space has the usual approximation capability expected from bilinear polynomials. Numerical examples of the related finite element method are provided.
| Original language | English |
|---|---|
| Pages (from-to) | 1265-1300 |
| Number of pages | 36 |
| Journal | Numerical Methods for Partial Differential Equations |
| Volume | 24 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 Sept 2008 |
| Externally published | Yes |
Keywords
- Error estimates
- Finite element
- Immersed interface
- Interface problems
ASJC Scopus subject areas
- Applied Mathematics
- Analysis
- Computational Mathematics