A class of locally well-posed hybridizable discontinuous Galerkin methods for the solution of time-harmonic Maxwell’s equations

Autor:	Ronan Perrussel, Stéphane Lanteri, Liang Li
Rok vydání:	2015
Předmět:	Well-posed problem Facet (geometry) Class (set theory) Mathematical analysis General Physics and Astronomy Magnetic field symbols.namesake Maxwell's equations Hardware and Architecture Discontinuous Galerkin method symbols Tangential and normal components Mathematics Variable (mathematics)
Zdroj:	Computer Physics Communications. 192:23-31
ISSN:	0010-4655
DOI:	10.1016/j.cpc.2015.02.017
Popis:	We study locally well-posed hybridizable discontinuous Galerkin (HDG) methods for the numerical solution of the time-harmonic Maxwell’s equations. The local well-posedness is obtained by introducing another facet variable closely related to the tangential component of the magnetic field, as compared to the initial formulation. With this newly introduced variable, we propose a class of generalized locally well-posed formulations which involves four parameters for flexibility. Numerical examples show that the approximate solutions converge to the exact solutions with optimal rates.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::5cf4dcc916b51a827b08ae130c1919d3 https://doi.org/10.1016/j.cpc.2015.02.017 Zobrazit plný text záznamu Full Text from ScienceDirect