Search results for "saturation assumption"

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

2020

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.

010103 numerical & computational mathematicsResidual01 natural sciencesPiecewise linear function: Multidisciplinaire généralités & autres [C99] [Ingénierie informatique & technologie]Dimension (vector space)Bank-Weiser estimatorApplied mathematicsfinite element methodssaturation assumption0101 mathematicsReliability (statistics)Mathematicsresidual estimatorBank-WeiserestimatorApplied Mathematics: Multidisciplinary general & others [C99] [Engineering computing & technology]NoveltyEstimatorExtension (predicate logic)16. Peace & justiceFinite element methoda posteriori error estimation010101 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]

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