Volume 11, Issue 1
Approximation of a Two-phase Continuous Casting Stefan Problem

Zhiming Chen & Lishang Jiang

J. Part. Diff. Eq., 11 (1998), pp. 59-72.

Published online: 1998-11

Preview Full PDF 432 2761
Export citation
  • Abstract
The continuous casting Stefan problem is a mathematical model describing the solidification with convection of a material being cast continuously with a prescribed velocity. We propose a practical piecewise linear finite element scheme motivated by the characteristic finite element method and derive an error estimate for the scheme which is of the same convergence order as that proved for Stefan problem without convection.
  • Keywords

Piecewise linear finite elements numerical quadrature error estimates Stefan problem with convection

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{JPDE-11-59, author = {}, title = {Approximation of a Two-phase Continuous Casting Stefan Problem}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {1}, pages = {59--72}, abstract = { The continuous casting Stefan problem is a mathematical model describing the solidification with convection of a material being cast continuously with a prescribed velocity. We propose a practical piecewise linear finite element scheme motivated by the characteristic finite element method and derive an error estimate for the scheme which is of the same convergence order as that proved for Stefan problem without convection.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5555.html} }
TY - JOUR T1 - Approximation of a Two-phase Continuous Casting Stefan Problem JO - Journal of Partial Differential Equations VL - 1 SP - 59 EP - 72 PY - 1998 DA - 1998/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5555.html KW - Piecewise linear finite elements KW - numerical quadrature KW - error estimates KW - Stefan problem with convection AB - The continuous casting Stefan problem is a mathematical model describing the solidification with convection of a material being cast continuously with a prescribed velocity. We propose a practical piecewise linear finite element scheme motivated by the characteristic finite element method and derive an error estimate for the scheme which is of the same convergence order as that proved for Stefan problem without convection.
Zhiming Chen & Lishang Jiang . (2019). Approximation of a Two-phase Continuous Casting Stefan Problem. Journal of Partial Differential Equations. 11 (1). 59-72. doi:
Copy to clipboard
The citation has been copied to your clipboard