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Article
A Bilinear Immersed Finite Volume Element Method For the Diffusion Equation with Discontinuous Coefficient
Communications||in Computational Physics
  • Xiaoming He, Missouri University of Science and Technology
  • Tao Lin
  • Yanping Lin
Abstract
This paper is to present a finite volume element (FVE) method based on thebilinear immersed finite element (IFE) for solving the boundary value problems of thediffusion equation with a discontinuous coefficient (interface problem). This methodpossesses the usual FVE method's local conservation property and can use a structuredmesh or even the Cartesian mesh to solve a boundary value problem whose coefficienthas discontinuity along piecewise smooth nontrivial curves. Numerical examples areprovided to demonstrate features of this method. In particular, this method can pro-duce a numerical solution to an interface problem with the usualO(h2) (in L2 norm) an dO(h) (in H1 norm) convergence rates.
Department(s)
Mathematics and Statistics
Keywords and Phrases
  • Interface Problems,
  • Immersed Interface,
  • Finite Volume Element,
  • Discontinuous Coefficient,
  • Diffusion Equation
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2009 Global Science Press, All rights reserved.
Publication Date
1-1-2009
Citation Information
Xiaoming He, Tao Lin and Yanping Lin. "A Bilinear Immersed Finite Volume Element Method For the Diffusion Equation with Discontinuous Coefficient" Communications||in Computational Physics (2009)
Available at: http://works.bepress.com/xiaoming-he/15/