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Volume 38, Issue 4
Order Reduced Methods for Quad-Curl Equations with Navier Type Boundary Conditions

Weifeng Zhang & Shuo Zhang

DOI: 10.4208/jcm.1901-m2018-0150

J. Comp. Math., 38 (2020), pp. 565-579.

Published online: 2020-04

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  • Abstract

Quad-curl equations with Navier type boundary conditions are studied in this paper. Stable order reduced formulations equivalent to the model problems are presented, and finite element discretizations are designed. Optimal convergence rates are proved.

  • Keywords

Quad-curl equation, Order reduced scheme, Regularity analysis, Finite element method.

  • AMS Subject Headings

65N30, 35Q60, 76E25, 76W05

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

weifeng.zhang@multigrid.org (Weifeng Zhang)

szhang@lsec.cc.ac.cn (Shuo Zhang)

  • BibTex
  • RIS
  • TXT
@Article{JCM-38-565, author = {Zhang , Weifeng and Zhang , Shuo}, title = {Order Reduced Methods for Quad-Curl Equations with Navier Type Boundary Conditions}, journal = {Journal of Computational Mathematics}, year = {2020}, volume = {38}, number = {4}, pages = {565--579}, abstract = {

Quad-curl equations with Navier type boundary conditions are studied in this paper. Stable order reduced formulations equivalent to the model problems are presented, and finite element discretizations are designed. Optimal convergence rates are proved.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1901-m2018-0150}, url = {http://global-sci.org/intro/article_detail/jcm/16463.html} }
TY - JOUR T1 - Order Reduced Methods for Quad-Curl Equations with Navier Type Boundary Conditions AU - Zhang , Weifeng AU - Zhang , Shuo JO - Journal of Computational Mathematics VL - 4 SP - 565 EP - 579 PY - 2020 DA - 2020/04 SN - 38 DO - http://doi.org/10.4208/jcm.1901-m2018-0150 UR - https://global-sci.org/intro/article_detail/jcm/16463.html KW - Quad-curl equation, Order reduced scheme, Regularity analysis, Finite element method. AB -

Quad-curl equations with Navier type boundary conditions are studied in this paper. Stable order reduced formulations equivalent to the model problems are presented, and finite element discretizations are designed. Optimal convergence rates are proved.

Weifeng Zhang & Shuo Zhang. (2020). Order Reduced Methods for Quad-Curl Equations with Navier Type Boundary Conditions. Journal of Computational Mathematics. 38 (4). 565-579. doi:10.4208/jcm.1901-m2018-0150
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