Extended isogeometric analysis for material interface problems
- Authors
- Jia, Yue; Anitescu, Cosmin; Ghorashi, Seyed Shahram; Rabczuk, Timon
- Issue Date
- 6월-2015
- Publisher
- OXFORD UNIV PRESS
- Keywords
- Isogeometric analysis; NURBS; XIGA; enrichment functions; Poisson' s equation; inverse mapping; curved triangular element
- Citation
- IMA JOURNAL OF APPLIED MATHEMATICS, v.80, no.3, pp.608 - 633
- Indexed
- SCIE
SCOPUS
- Journal Title
- IMA JOURNAL OF APPLIED MATHEMATICS
- Volume
- 80
- Number
- 3
- Start Page
- 608
- End Page
- 633
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/93421
- DOI
- 10.1093/imamat/hxu004
- ISSN
- 0272-4960
- Abstract
- We propose an approach to extend the isogeometric analysis (IGA) method to solve material interface problems. The development is carried out through incorporating the advantages of the extended finite element method into the standard IGA approach for solving problems with discontinuities. By applying both the XIGA and IGA methods to solve Poisson's equation problem containing weak discontinuities, we demonstrate that the XIGA achieves the optimal convergence rate, whereas the IGA only converges suboptimally. The proposed method is then successfully applied to solve bimaterial and curved material interface problems.
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Collections - College of Engineering > College of Engineering > 1. Journal Articles
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