A mixed method for axisymmetric div-curl systems Academic Article

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 Ndlec 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. 2008 American Mathematical Society.

authors

• Pasciak, Joseph

published proceedings

• MATHEMATICS OF COMPUTATION

author list (cited authors)

• Copeland, D. M., Gopalakrishnan, J., & Pasciak, J. E.

citation count

• 21

complete list of authors

• Copeland, Dylan M||Gopalakrishnan, Jayadeep||Pasciak, Joseph E

publication date

• March 2008

publisher

• American Mathematical Society (AMS)  Publisher

published in

• Mathematics of Computation  Journal

keywords

• Axisymmetry
• Div-curl Systems
• Magnetostatics
• Maxwell's Equations
• Mixed Methods
• Nedelec Elements

Digital Object Identifier (DOI)

• 10.1090/S0025-5718-08-02102-9

start page

• 1941

end page

• 1965

volume

• 77

issue

• 264

URL

• http://dx.doi.org/10.1090/s0025-5718-08-02102-9