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Interpolation of coefficients and transformation of the dependent variable in finite element methods for the non‐linear heat equation

 

作者: Stig Larsson,   Vidar Thomée,   Nai‐Ying Zhang,   W. Wendland,  

 

期刊: Mathematical Methods in the Applied Sciences  （WILEY Available online 1989）
卷期: Volume 11, issue 1  

页码: 105-124

 

ISSN:0170-4214

 

年代: 1989

 

DOI:10.1002/mma.1670110108

 

出版商: John Wiley&Sons, Ltd

 

数据来源: WILEY

 

摘要:

AbstractError estimates are shown for some spatially discrete Galerkin finite element methods for a non‐linear heat equation. The approximation schemes studied are based on the introduction of the enthalpy as a new dependent variable, and also on the application of the Kirchhoff transformation and on interpolation of the non‐linear coefficients into standard Lagrangian finite element spa

 

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