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Preconditioners for solving the indefinite linear system for higher order H (curl) discretisations
Author(s) -
Ledger Paul David
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700572
Subject(s) - curl (programming language) , polygon mesh , singularity , finite element method , mathematics , linear system , system of linear equations , order (exchange) , iterative method , mathematical analysis , computer science , geometry , algorithm , physics , thermodynamics , finance , economics , programming language
Abstract This paper presents numerical results for a preconditioning technique for the iterative solution of the indefinite linear system of equations obtained when a higher order H (curl) conforming finite element approximation is adopted for the vector wave equation. Numerical results are presented for a model problem that includes a singularity at the origin and dicretisations that include graded meshes and uniform p . (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)