Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4640110 | Journal of Computational and Applied Mathematics | 2011 | 10 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Jiangguo Liu, Lin Mu, Xiu Ye,