Approximation of a Two-phase Continuous Casting Stefan Problem

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Volume 11, Issue 1

Zhiming Chen & Lishang Jiang

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

Published online: 1998-11

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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

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@Article{JPDE-11-59, author = {Zhiming Chen and Lishang Jiang }, 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 AU - Zhiming Chen & Lishang Jiang 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 and Lishang Jiang . (1998). Approximation of a Two-phase Continuous Casting Stefan Problem. Journal of Partial Differential Equations. 11 (1). 59-72. doi:

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