A new mixed discontinuous Galerkin method for the electrostatic field

Abstract We introduce and analyze a new mixed discontinuous Galerkin method for approximation of an electric field. We carry out its error analysis and prove an error estimate that is optimal in the mesh size. Some numerical results are given to confirm the theoretical convergence.

Bibliographic Details
Main Authors: Abdelhamid Zaghdani, Mohamed Ezzat
Format: Article
Language:English
Published: SpringerOpen 2019-11-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-019-2420-x