Strongly regular family of boundary-fitted tetrahedral meshes of bounded C^2 domains

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00459882" target="_blank" >RIV/67985840:_____/16:00459882 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10492-016-0130-1" target="_blank" >http://dx.doi.org/10.1007/s10492-016-0130-1</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10492-016-0130-1" target="_blank" >10.1007/s10492-016-0130-1</a>

Result language
angličtina
Original language name
Strongly regular family of boundary-fitted tetrahedral meshes of bounded C^2 domains
Original language description
We give a constructive proof that for any bounded domain of the class C 2 there exists a strongly regular family of boundary-fitted tetrahedral meshes. We adopt a refinement technique introduced by Křížek and modify it so that a refined mesh is again boundary-fitted. An alternative regularity criterion based on similarity with the Sommerville tetrahedron is used and shown to be equivalent to other standard criteria. The sequence of regularities during the refinement process is estimated from below and shown to converge to a positive number by virtue of the convergence of q-Pochhammer symbol. The final result takes the form of an implication with an assumption that can be obviously fulfilled for any bounded C 2 domain.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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