Error estimate for a finite element approximation of the solution of a linear parabolic equation on a two-dimensional surface

2016/04/15 by Heiko Kröner, Kröner, Heiko
Computer Science · Engineering · Mathematics · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #FOS: Mathematics #Numerical Analysis (math.NA) #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.1604.04665

openalex publication_date 2016/04/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

We show that a certain error estimate for a fully discrete finite element approximation of the solution of the heat equation which is defined in a two-dimensional Euclidean domain carries over to the case of a general linear parabolic equation which is defined on a two-dimensional surface.

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