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. © 2008 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 2008
| Original language | American English |
|---|---|
| Journal | Numerical Methods for Partial Differential Equations |
| DOIs | |
| State | Published - Jan 1 2008 |
Keywords
- error estimates
- finite element
- immersed interface
- interface problems
Disciplines
- Mathematics
- Statistics and Probability
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