A new mixed discontinuous Galerkin method for the electrostatic field

Abstract

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.

Keywords

• Boundary value problems
• Maxwell’s equations
• Discontinuous Galerkin formulation
• A priori error estimate