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Finite element method for radially symmetric solution of a multidimensional semilinear heat equation

  • Toru NakanishiEmail author
  • Norikazu Saito
Original Paper
  • 12 Downloads

Abstract

This study was conducted to present error analysis of a finite element method for computing the radially symmetric solutions of semilinear heat equations. Particularly, this study establishes optimal order error estimates in \(L^\infty \) and weighted \(L^2\) norms, respectively, for the symmetric and nonsymmetric formulation. Some numerical examples are presented to validate the obtained theoretical results.

Keywords

Finite element method Numerical analysis Radially symmetric solution Semilinear parabolic equation 

Mathematics Subject Classification

65M60 35K58 

Notes

Acknowledgements

This work was supported by JST CREST Grant no. JPMJCR15D1, Japan, and JSPS KAKENHI Grant no. 15H03635, Japan. In addition, the first author was supported by the Program for Leading Graduate Schools, MEXT, Japan.

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Copyright information

© The JJIAM Publishing Committee and Springer Japan KK, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Graduate School of Mathematical SciencesThe University of TokyoTokyoJapan

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