Quadratic immersed finite element spaces and their approximation capabilities
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 81-112 |
| Journal / Publication | Advances in Computational Mathematics |
| Volume | 24 |
| Issue number | 1-4 |
| Publication status | Published - Jan 2006 |
Link(s)
Abstract
This paper discusses a class of quadratic immersed finite element (IFE) spaces developed for solving second order elliptic interface problems. Unlike the linear IFE basis functions, the quadratic IFE local nodal basis functions cannot be uniquely defined by nodal values and interface jump conditions. Three types of one dimensional quadratic IFE basis functions are presented together with their extensions for forming the two dimensional IFE spaces based on rectangular partitions. Approximation capabilities of these IFE spaces are discussed. Finite element solutions based on these IFE for representative interface problems are presented to further illustrate capabilities of these IFE spaces. © Springer 2006.
Research Area(s)
- Discontinuous coefficients, Error bounds, Interface problem, Order of convergence, Quadratic immersed finite element methods, Structured mesh
Citation Format(s)
Quadratic immersed finite element spaces and their approximation capabilities. / Camp, Brian; Lin, Tao; Lin, Yanping et al.
In: Advances in Computational Mathematics, Vol. 24, No. 1-4, 01.2006, p. 81-112.
In: Advances in Computational Mathematics, Vol. 24, No. 1-4, 01.2006, p. 81-112.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
