Article ID Journal Published Year Pages File Type
4640110 Journal of Computational and Applied Mathematics 2011 10 Pages PDF
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.

► An adaptive discontinuous finite volume method (DFVM) is developed. ► The adaptive DFVM achieves guaranteed error reduction. ► The adaptive DFVM is asymptotically optimal as nonlinear approximation.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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