A mixed method for axisymmetric div-curl systems

被引：24

作者：

Copeland, Dylan M. ^{[1
]}

Gopalakrishnan, Jayadeep ^{[2
]}

Pasciak, Joseph E. ^{[3
]}

机构：

[1] Austrian Acad Sci, Johann Radon Inst Computat & Appl Mat, A-4040 Linz, Austria

[2] Univ Florida, Dept Math, Gainesville, FL 32611 USA

[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA

来源：

MATHEMATICS OF COMPUTATION | 2008年 / 77卷 / 264期

关键词：

mixed methods; Nedelec elements; axisymmetry; Maxwell's equations; div-curl systems; magnetostatics;

D O I：

10.1090/S0025-5718-08-02102-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 Nedelec 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.

引用

页码：1941 / 1965

页数：25

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