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

2019/02/21 by Nakanishi, Toru, Saito, Norikazu
#FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1902.07919

Abstract

This study aims to present the error and numerical blow up analyses of a finite element method for computing the radially symmetric solutions of semilinear heat equations. In particular, this study establishes optimal order error estimates in L^∞ and weighted L² norms for the symmetric and nonsymmetric formulation, respectively. Some numerical examples are presented to validate the obtained theoretical results.

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