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Higher degree immersed finite element spaces constructed according to the actual interface
- Source :
- Computers & Mathematics with Applications. 75:1868-1881
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- We discuss the construction of higher degree immersed finite element (IFE) spaces that can be used to solve two dimensional second order elliptic interface problems having general interfaces without requiring the mesh to be aligned with the material interfaces. The optimal approximation capability of the proposed piecewise p th degree IFE spaces are demonstrated by numerical experiments with interpolations. Numerical solutions to interface problems generated from a partially penalized method based on the proposed higher order IFE spaces also suggest optimal convergence in both the L 2 and H 1 norms under mesh refinement.
- Subjects :
- Degree (graph theory)
Interface (Java)
Mathematical analysis
Geometry
010103 numerical & computational mathematics
01 natural sciences
Finite element method
010101 applied mathematics
Computational Mathematics
Computational Theory and Mathematics
Modeling and Simulation
Convergence (routing)
Piecewise
Order (group theory)
0101 mathematics
Cartesian mesh
Mathematics
Subjects
Details
- ISSN :
- 08981221
- Volume :
- 75
- Database :
- OpenAIRE
- Journal :
- Computers & Mathematics with Applications
- Accession number :
- edsair.doi...........2f79756be5df0f732c3a4ca4846dd8d5