Strathprints logo
Strathprints Home | Open Access | Browse | Search | User area | Copyright | Help | Library Home | SUPrimo

Conditioning of hierarchic p-version Nedelec elements on meshes of curvilinear quadrilaterals and hexahedra

Ainsworth, M. and Coyle, J. (2003) Conditioning of hierarchic p-version Nedelec elements on meshes of curvilinear quadrilaterals and hexahedra. SIAM Journal on Numerical Analysis, 41 (2). pp. 731-750. ISSN 0036-1429

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

The conditioning of a set of hierarchic basis functions for p-version edge element approximation of the space H(curl) is studied. Theoretical bounds are obtained on the location of the eigenvalues and on the growth of the condition numbers for the mass, curl-curl, and stiffness matrices that naturally arise from Galerkin approximation of Maxwell's equations. The theory is applicable to meshes of curvilinear quadrilaterals or hexahedra in two and three dimensions, respectively, including the case in which the local order of approximation is nonuniform. Throughout, the theory is illustrated with numerical examples that show that the theoretical asymptotic bounds are sharp and are attained within the range of practical computation.

Item type: Article
ID code: 70
Keywords: Eigenvalue bounds, finite elements, Maxwell equations, numerical analysis, statistics, finite element analysis, Mathematics, Numerical Analysis
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
Faculty of Science > Mathematics and Statistics > Mathematics
Related URLs:
    Depositing user: Mr Derek Boyle
    Date Deposited: 21 Dec 2005
    Last modified: 04 Sep 2014 11:28
    URI: http://strathprints.strath.ac.uk/id/eprint/70

    Actions (login required)

    View Item