An adaptive discontinuous finite volume method for elliptic problems

作者：Liu Jiangguo^*; Mu Lin; Ye Xiu

来源：Journal of Computational and Applied Mathematics, 2011, 235(18): 5422-5431.

DOI：10.1016/j.cam.2011.05.051

• Adaptive mesh refinements a posteriori error estimates
• Elliptic boundary value problems
• Finite volume methods

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.

• 出版日期2011-7-15