A Hierarchical A-Posteriori Error Estimator for the Reduced Basis Method Article Swipe

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Stefan Hain , Mario Ohlberger , Mladjan Radic , Karsten Urban ·

YOU? · · 2018 · Open Access · · DOI: https://doi.org/10.14293/p2199-8442.1.sop-math.thidbv.v1

We present an online-efficient hierarchical a-posteriori error estimator for the Reduced Basis Method (RBM), which uses the difference of two reduced approximations of different accuracy to estimate the true error of a reduced approximation. Effectivity as well as performance are investigated, especially for those cases where the inf-sup constant has small values and/or is hard to compute numerically.

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Estimator A priori and a posteriori Basis (linear algebra) Applied mathematics Mathematics Algorithm Error analysis Constant (computer programming) Maximum a posteriori estimation Computer science Mathematical optimization Statistics Maximum likelihood Geometry Programming language Philosophy Epistemology

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Type: preprint
Language: en
Landing Page: https://doi.org/10.14293/p2199-8442.1.sop-math.thidbv.v1
PDF: https://www.scienceopen.com/document_file/49f896f8-35a7-4f5e-95d9-3f154885c4e3/ScienceOpen/20morepas2018_HierErrEst.pdf
OA Status: gold
Cited By: 9
References: 9
Related Works: 10
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DOI: https://doi.org/10.14293/p2199-8442.1.sop-math.thidbv.v1

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Title: A Hierarchical A-Posteriori Error Estimator for the Reduced Basis Method

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Type: preprint

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Language: en

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Publication year: 2018

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Publication date: 2018-04-27

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Authors: Stefan Hain, Mario Ohlberger, Mladjan Radic, Karsten Urban

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Landing page: https://doi.org/10.14293/p2199-8442.1.sop-math.thidbv.v1

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Concepts: Estimator, A priori and a posteriori, Basis (linear algebra), Applied mathematics, Mathematics, Algorithm, Error analysis, Constant (computer programming), Maximum a posteriori estimation, Computer science, Mathematical optimization, Statistics, Maximum likelihood, Geometry, Programming language, Philosophy, Epistemology

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Cited by: 9

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Citations by year (recent): 2023: 1, 2022: 1, 2021: 2, 2020: 2, 2019: 2

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References (count): 9

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Related works (count): 10

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