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Convergence and Quasi-Optimality of an Adaptive Multi-Penalty Discontinuous Galerkin Method
Published online by Cambridge University Press: 15 February 2016
Abstract
An adaptive multi-penalty discontinuous Galerkin method (AMPDG) for the diffusion problem is considered. Convergence and quasi-optimality of the AMPDG are proved. Compared with the analyses for the adaptive finite element method or the adaptive interior penalty discontinuous Galerkin method, extra works are done to overcome the difficulties caused by the additional penalty terms.
- Type
- Research Article
- Information
- Numerical Mathematics: Theory, Methods and Applications , Volume 9 , Issue 1 , February 2016 , pp. 51 - 86
- Copyright
- Copyright © Global-Science Press 2016