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:	Boundary value problems Maxwell’s equations Discontinuous Galerkin formulation A priori error estimate
Online Access:	http://link.springer.com/article/10.1186/s13662-019-2420-x

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spelling	doaj-940a049f81c14e419faf9842aa7f34a72020-11-25T02:17:59ZengSpringerOpenAdvances in Difference Equations1687-18472019-11-012019111310.1186/s13662-019-2420-xA new mixed discontinuous Galerkin method for the electrostatic fieldAbdelhamid Zaghdani0Mohamed Ezzat1Northern Border University, Faculty of Arts and ScienceNorthern Border University, Faculty of Arts and ScienceAbstract 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.http://link.springer.com/article/10.1186/s13662-019-2420-xBoundary value problemsMaxwell’s equationsDiscontinuous Galerkin formulationA priori error estimate
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Abdelhamid Zaghdani Mohamed Ezzat
spellingShingle	Abdelhamid Zaghdani Mohamed Ezzat A new mixed discontinuous Galerkin method for the electrostatic field Advances in Difference Equations Boundary value problems Maxwell’s equations Discontinuous Galerkin formulation A priori error estimate
author_facet	Abdelhamid Zaghdani Mohamed Ezzat
author_sort	Abdelhamid Zaghdani
title	A new mixed discontinuous Galerkin method for the electrostatic field
title_short	A new mixed discontinuous Galerkin method for the electrostatic field
title_full	A new mixed discontinuous Galerkin method for the electrostatic field
title_fullStr	A new mixed discontinuous Galerkin method for the electrostatic field
title_full_unstemmed	A new mixed discontinuous Galerkin method for the electrostatic field
title_sort	new mixed discontinuous galerkin method for the electrostatic field
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1847
publishDate	2019-11-01
description	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.
topic	Boundary value problems Maxwell’s equations Discontinuous Galerkin formulation A priori error estimate
url	http://link.springer.com/article/10.1186/s13662-019-2420-x
work_keys_str_mv	AT abdelhamidzaghdani anewmixeddiscontinuousgalerkinmethodfortheelectrostaticfield AT mohamedezzat anewmixeddiscontinuousgalerkinmethodfortheelectrostaticfield AT abdelhamidzaghdani newmixeddiscontinuousgalerkinmethodfortheelectrostaticfield AT mohamedezzat newmixeddiscontinuousgalerkinmethodfortheelectrostaticfield
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A new mixed discontinuous Galerkin method for the electrostatic field

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