BROWSE

Related Researcher

Author's Photo

Jang, Bongsoo
Computational Mathematical Science Lab (CMS Lab)
Research Interests
  • Numerical analysis, dynamics, fractional systems, data sciences

ITEM VIEW & DOWNLOAD

Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems

Cited 0 times inthomson ciCited 0 times inthomson ci
Title
Partition of unity isogeometric analysis of two dimensional elliptic singular perturbation problems
Author
Jang, BongsooKim, HyunjuOh, Hae-SooKim, Sinae
Issue Date
2016-12
Publisher
SPRINGER
Citation
COMPUTATIONAL MECHANICS, v.58, no.6, pp.1019 - 1038
Abstract
The design basis functions on the reference domain in IGA are diversified and enhanced by extra enrichment functions and various local refinements with the use of partition of unity (PU) function with flat-top. These reconditioned and modified basis functions are pushed forward to the physical domain by the original design mapping for analysis. With this method, the corresponding stiffness matrix has a small bandwidth and local refinement is simple. Moreover, we construct the PU functions in the reference domain and then move them to a physical domain through a geometric mapping to be used for the generation of global basis functions on a physical domain. Therefore, we also have several advantages in calculating stiffness matrices and load vectors. Here we apply this method to various boundary layer problems.
URI
https://scholarworks.unist.ac.kr/handle/201301/20746
URL
http://link.springer.com/article/10.1007%2Fs00466-016-1330-y
DOI
10.1007/s00466-016-1330-y
ISSN
0178-7675
Appears in Collections:
MTH_Journal Papers
Files in This Item:
There are no files associated with this item.

find_unist can give you direct access to the published full text of this article. (UNISTARs only)

Show full item record

qrcode

  • mendeley

    citeulike

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

MENU