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Face-to-face partition of 3D space with identical well-centered tetrahedra
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SYSNO ASEP 0452193 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Face-to-face partition of 3D space with identical well-centered tetrahedra Author(s) Hošek, Radim (MU-W) SAI, RID Source Title Applications of Mathematics. - : Springer - ISSN 0862-7940
Roč. 60, č. 6 (2015), s. 637-651Number of pages 15 s. Language eng - English Country CZ - Czech Republic Keywords rigid mesh ; well-centered mesh ; approximative domain Subject RIV BA - General Mathematics Institutional support MU-W - RVO:67985840 UT WOS 000367089900003 EID SCOPUS 84950308302 DOI 10.1007/s10492-015-0115-5 Annotation The motivation for this paper comes from physical problems defined on bounded smooth domains $Omega $ in 3D. Numerical schemes for these problems are usually defined on some polyhedral domains $Omega _h$ and if there is some additional compactness result available, then the method may converge even if $Omega _h to Omega $ only in the sense of compacts. Hence, we use the idea of meshing the whole space and defining the approximative domains as a subset of this partition. endgraf Numerical schemes for which quantities are defined on dual partitions usually require some additional quality. One of the used approaches is the concept of emph {well-centeredness}, in which the center of the circumsphere of any element lies inside that element. We show that the one-parameter family of Sommerville tetrahedral elements, whose copies and mirror images tile 3D, build a well-centered face-to-face mesh. Then, a shape-optimal value of the parameter is computed. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2017
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