Title of article :
An adaptive discontinuous finite volume method for elliptic problems
Author/Authors :
Liu، نويسنده , , Jiangguo and Mu، نويسنده , , Lin and Ye، نويسنده , , Xiu، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
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 :
elliptic boundary value problems , a posteriori error estimates , Finite Volume Methods , Adaptive mesh refinements
Journal title :
Journal of Computational and Applied Mathematics
Journal title :
Journal of Computational and Applied Mathematics
