Confidence Intervals for Richardson Extrapolation in Solid MechanicsSource: Journal of Verification, Validation and Uncertainty Quantification:;2022:;volume( 007 ):;issue: 003::page 31005Author:Krysl, Petr
DOI: 10.1115/1.4055728Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A simple procedure for estimating the uncertainty of estimates of true solutions to problems of deflection, stress concentrations, and force resultants in solid and structural mechanics is introduced. Richardson extrapolation is carried out on a dataset of samples from a sequence of four grids. Simple medianbased statistical analysis is used to establish 95% confidence intervals. The procedure leads to simple calculations that deliver reasonably tight estimates of the true solution and confidence intervals.
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| contributor author | Krysl, Petr | |
| date accessioned | 2023-04-06T13:02:48Z | |
| date available | 2023-04-06T13:02:48Z | |
| date copyright | 10/6/2022 12:00:00 AM | |
| date issued | 2022 | |
| identifier issn | 23772158 | |
| identifier other | vvuq_007_03_031005.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4288979 | |
| description abstract | A simple procedure for estimating the uncertainty of estimates of true solutions to problems of deflection, stress concentrations, and force resultants in solid and structural mechanics is introduced. Richardson extrapolation is carried out on a dataset of samples from a sequence of four grids. Simple medianbased statistical analysis is used to establish 95% confidence intervals. The procedure leads to simple calculations that deliver reasonably tight estimates of the true solution and confidence intervals. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | Confidence Intervals for Richardson Extrapolation in Solid Mechanics | |
| type | Journal Paper | |
| journal volume | 7 | |
| journal issue | 3 | |
| journal title | Journal of Verification, Validation and Uncertainty Quantification | |
| identifier doi | 10.1115/1.4055728 | |
| journal fristpage | 31005 | |
| journal lastpage | 310059 | |
| page | 9 | |
| tree | Journal of Verification, Validation and Uncertainty Quantification:;2022:;volume( 007 ):;issue: 003 | |
| contenttype | Fulltext |