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Article
The Convergence of the Bilinear and Linear Immersed Finite Element Solutions to Interface Problems
Numerical methods for Partial Differential Equations
  • Xiaoming He, Missouri University of Science and Technology
  • Tao Lin
  • Yanping Lin
Editor(s)
Pinder, George F.
Abstract
This article analyzes the error in both the bilinear and linear immersed finite element (IFE) solutions for second-order elliptic boundary problems with discontinuous coefficients. the discontinuity in the coefficients is supposed to happen across general curves, but the mesh of the IFE methods can be allowed not to align with the curve of discontinuity. It has been shown that the bilinear and linear IFE solutions converge to the exact solution under the usual assumptions about the meshes and regularity.© 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 312–330 2012
Department(s)
Mathematics and Statistics
Keywords and Phrases
  • error estimates,
  • finite element,
  • immersed interface,
  • interface problems
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2012 Wiley-Blackwell, All rights reserved.
Publication Date
1-1-2012
Citation Information
Xiaoming He, Tao Lin and Yanping Lin. "The Convergence of the Bilinear and Linear Immersed Finite Element Solutions to Interface Problems" Numerical methods for Partial Differential Equations (2012)
Available at: http://works.bepress.com/xiaoming-he/40/