Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three

6533b85cfe1ef96bd12bc0df

RESEARCH PRODUCT

Removing the saturation assumption in Bank-Weiser error estimator analysis in dimension three

Jack Hale Alexei Lozinski Franz Chouly Raphaël Bulle

subject

010103 numerical & computational mathematics Residual 01 natural sciences Piecewise linear function : Multidisciplinaire généralités & autres [C99] [Ingénierie informatique & technologie]Dimension (vector space)Bank-Weiser estimator Applied mathematics finite element methods saturation assumption 0101 mathematics Reliability (statistics)Mathematics residual estimator Bank-Weiserestimator Applied Mathematics : Multidisciplinary general & others [C99] [Engineering computing & technology]Novelty Estimator Extension (predicate logic)16. Peace & justice Finite element method a posteriori error estimation 010101 applied mathematics : Mathematics [G03] [Physical chemical mathematical & earth Sciences]: Mathématiques [G03] [Physique chimie mathématiques & sciences de la terre][MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA]

description

International audience; We provide a new argument proving the reliability of the Bank-Weiser estimator for Lagrange piecewise linear finite elements in both dimension two and three. The extension to dimension three constitutes the main novelty of our study. In addition, we present a numerical comparison of the Bank-Weiser and residual estimators for a three-dimensional test case.

year	journal	country	edition	language
2020-09-01

http://orbilu.uni.lu/handle/10993/42546

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