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dc.contributor.authorTakizawa, Kenji
Ueda, Yuki
Tezduyar, Tayfun E.
dc.date.accessioned 2021-10-19T15:35:30Z
dc.date.available 2021-10-19T15:35:30Z
dc.date.issued 2019
dc.identifier.citation Takizawa, Kenji, Ueda, Yuki and Tezduyar, Tayfun E.. "A node-numbering-invariant directional length scale for simplex elements." Mathematical Models and Methods in Applied Sciences, 29, no. 14 (2019) World Scientific: 2719-2753. https://doi.org/10.1142/S0218202519500581.
dc.identifier.urihttps://hdl.handle.net/1911/111575
dc.description.abstract Variational multiscale methods, and their precursors, stabilized methods, have been very popular in flow computations in the past several decades. Stabilization parameters embedded in most of these methods play a significant role. The parameters almost always involve element length scales, most of the time in specific directions, such as the direction of the flow or solution gradient. We require the length scales, including the directional length scales, to have node-numbering invariance for all element types, including simplex elements. We propose a length scale expression meeting that requirement. We analytically evaluate the expression in the context of simplex elements and compared to one of the most widely used length scale expressions and show the levels of noninvariance avoided.
dc.language.iso eng
dc.publisher World Scientific
dc.rights This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.title A node-numbering-invariant directional length scale for simplex elements
dc.type Journal article
dc.citation.journalTitle Mathematical Models and Methods in Applied Sciences
dc.citation.volumeNumber 29
dc.citation.issueNumber 14
dc.identifier.digital s0218202519500581
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1142/S0218202519500581
dc.type.publication publisher version
dc.citation.firstpage 2719
dc.citation.lastpage 2753


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