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Article
Immersed Finite Element Methods For Elliptic Interface Problems with Non-Homogeneous Jump Conditions
International Journal of Numerical Analysis and Modeling
  • Xiaoming He, Missouri University of Science and Technology
  • Tao Lin
  • Yanping Lin
Abstract
This paper is to develop immersed finite element (IFE) functions for solving second order elliptic boundary value problems with discontinuous coefficients and non-homogeneous jump conditions. These IFE functions can be formed on meshes independent of interface. Numerical examples demonstrate that these IFE functions have the usual approximation capability expected from polynomials employed. The related IFE methods based on the Galerkin formulation can be considered as natural extensions of those IFE methods in the literature developed for homogeneous jump conditions, and they can optimally solve the interface problems with a nonhomogeneous flux jump condition.
Department(s)
Mathematics and Statistics
Keywords and Phrases
  • Interface Problems,
  • Immersed Interface,
  • Finite Element,
  • Nonhomogeneous Jump Conditions
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2011 Institute for Scientific Computing and Information, All rights reserved.
Publication Date
1-1-2011
Citation Information
Xiaoming He, Tao Lin and Yanping Lin. "Immersed Finite Element Methods For Elliptic Interface Problems with Non-Homogeneous Jump Conditions" International Journal of Numerical Analysis and Modeling (2011)
Available at: http://works.bepress.com/xiaoming-he/28/