A Bilinear Immersed Finite Volume Element Method For the Diffusion Equation with Discontinuous CoefficientCommunications||in Computational Physics
AbstractThis 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 TypeArticle - Journal
Rights© 2009 Global Science Press, All rights reserved.
Citation InformationXiaoming 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/