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An adaptive discontinuous finite volume method for elliptic problems
Authors:Jiangguo Liu  Lin Mu
Affiliation:
  • a Department of Mathematics, Colorado State University, Fort Collins, CO 80523-1874, USA
  • b Department of Applied Science, University of Arkansas at Little Rock, Little Rock, AR 72204, USA
  • c Department of Mathematics, University of Arkansas at Little Rock, Little Rock, AR 72204, USA
  • Abstract:
    An adaptive discontinuous finite volume method is developed and analyzed in this paper. We prove that the adaptive procedure achieves guaranteed error reduction in a mesh-dependent energy norm and has a linear convergence rate. Numerical results are also presented to illustrate the theoretical analysis.
    Keywords:65N15   65N30   65N50
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