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arxiv: 1604.04665 · v2 · pith:B73KJPERnew · submitted 2016-04-15 · 🧮 math.NA · cs.NA

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

classification 🧮 math.NA cs.NA
keywords equationtwo-dimensionalapproximationdefinedelementerrorestimatefinite
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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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