Document Type

Post-Print

Publication Date

2008

Subjects

Commutative algebra, Maxwell equations, Approximation theory, Linear algebras, Sobolev spaces

Abstract

We present a mixed method for a three-dimensional axisymmetric div-curl system reduced to a two-dimensional computational domain via cylindrical coordinates. We show that when the meridian axisymmetric Maxwell problem is approximated by a mixed method using the lowest order Nédélec elements (for the vector variable) and linear elements (for the Lagrange multiplier), one obtains optimal error estimates in certain weighted Sobolev norms. The main ingredient of the analysis is a sequence of projectors in the weighted norms satisfying some commutativity properties.

Description

This is an Author's Accepted Manuscript. First published in Mathematics of Computation, October 2008, Vol. 77 Issue 264, p. 1941-1965.

DOI

10.1090/S0025-5718-08-02102-9

Persistent Identifier

http://archives.pdx.edu/ds/psu/10707

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