An algorithm for the local refinement of a given triangulation consisting of prisms is presented. In the refined triangulation there can be some nonconforming nodes. It is shown that there exists a conforming triangulation consisting of prisms, pyramids, and tetrahedra which contains the nonconforming one. Proofs for the finiteness of the algorithm and stability of the obtained triangulations are presented.
%0 Journal Article
%1 siebert1993local
%A Siebert, Kunibert G.
%D 1993
%I Academic Press
%J Impact of computing in science and engineering
%K fis liste ubs_30123
%N 4
%P 271-284
%R 10.1006/icse.1993.1012
%T Local Refinement of 3D-Meshes Consisting of Prisms and Conforming Closure
%V 5
%X An algorithm for the local refinement of a given triangulation consisting of prisms is presented. In the refined triangulation there can be some nonconforming nodes. It is shown that there exists a conforming triangulation consisting of prisms, pyramids, and tetrahedra which contains the nonconforming one. Proofs for the finiteness of the algorithm and stability of the obtained triangulations are presented.
@article{siebert1993local,
abstract = {An algorithm for the local refinement of a given triangulation consisting of prisms is presented. In the refined triangulation there can be some nonconforming nodes. It is shown that there exists a conforming triangulation consisting of prisms, pyramids, and tetrahedra which contains the nonconforming one. Proofs for the finiteness of the algorithm and stability of the obtained triangulations are presented.},
added-at = {2023-08-21T15:14:23.000+0200},
author = {Siebert, Kunibert G.},
biburl = {https://puma.ub.uni-stuttgart.de/bibtex/28e3251e5f54b5c8754550363e3dedd7c/unibiblio-4},
doi = {10.1006/icse.1993.1012},
interhash = {0a6ecc4f4b6adbd0e9d8e9ce6b83f1f7},
intrahash = {8e3251e5f54b5c8754550363e3dedd7c},
issn = {0899-8248},
journal = {Impact of computing in science and engineering},
keywords = {fis liste ubs_30123},
language = {eng},
number = 4,
pages = {271-284},
publisher = {Academic Press},
timestamp = {2023-09-01T10:41:40.000+0200},
title = {Local Refinement of 3D-Meshes Consisting of Prisms and Conforming Closure},
volume = 5,
year = 1993
}