6533b7d2fe1ef96bd125e9da

RESEARCH PRODUCT

On the Reliability of Error Indication Methods for Problems with Uncertain Data

Immanuel AnjamPekka NeittaanmäkiOlli MaliSergey Repin

subject

Diffusion equationUncertain dataComputer scienceNumerical analysisStatisticsMagnitude (mathematics)Context (language use)Diffusion matrixReliability (statistics)

description

This paper is concerned with studying the effects of uncertain data in the context of error indicators, which are often used in mesh adaptive numerical methods. We consider the diffusion equation and assume that the coefficients of the diffusion matrix are known not exactly, but within some margins (intervals). Our goal is to study the relationship between the magnitude of uncertainty and reliability of different error indication methods. Our results show that even small values of uncertainty may seriously affect the performance of all error indicators.

yearjournalcountryeditionlanguage
2012-11-04
https://doi.org/10.1007/978-3-642-33134-3_84