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Volume 17, Issue 2
The Finite Element Method for Semilinear Parabolic Equations with Discontinuous Coefficients

Hui Feng & Long-Jun Shen

J. Comp. Math., 17 (1999), pp. 191-198.

Published online: 1999-04

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  • Abstract

In this paper we investigate the existence, uniqueness and regularity of the solution of semilinear parabolic equations with coefficients that are discontinuous across the interface, and some prior estimates are obtained. A net shape of the finite elements around the singular points was designed in [7] to solve the linear elliptic  problems, by means of that net, we prove that the approximate solution has the same convergence rate as that without singularity.

  • Keywords

Finite element, Semilinear parabolic equation, Discontinuous coefficients.

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COPYRIGHT: © Global Science Press

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@Article{JCM-17-191, author = {Feng , Hui and Shen , Long-Jun}, title = {The Finite Element Method for Semilinear Parabolic Equations with Discontinuous Coefficients}, journal = {Journal of Computational Mathematics}, year = {1999}, volume = {17}, number = {2}, pages = {191--198}, abstract = {

In this paper we investigate the existence, uniqueness and regularity of the solution of semilinear parabolic equations with coefficients that are discontinuous across the interface, and some prior estimates are obtained. A net shape of the finite elements around the singular points was designed in [7] to solve the linear elliptic  problems, by means of that net, we prove that the approximate solution has the same convergence rate as that without singularity.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/9093.html} }
TY - JOUR T1 - The Finite Element Method for Semilinear Parabolic Equations with Discontinuous Coefficients AU - Feng , Hui AU - Shen , Long-Jun JO - Journal of Computational Mathematics VL - 2 SP - 191 EP - 198 PY - 1999 DA - 1999/04 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/9093.html KW - Finite element, Semilinear parabolic equation, Discontinuous coefficients. AB -

In this paper we investigate the existence, uniqueness and regularity of the solution of semilinear parabolic equations with coefficients that are discontinuous across the interface, and some prior estimates are obtained. A net shape of the finite elements around the singular points was designed in [7] to solve the linear elliptic  problems, by means of that net, we prove that the approximate solution has the same convergence rate as that without singularity.

Feng , Hui and Shen , Long-Jun. (1999). The Finite Element Method for Semilinear Parabolic Equations with Discontinuous Coefficients. Journal of Computational Mathematics. 17 (2). 191-198. doi:
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