Extended isogeometric analysis for material interface problems

Yue Jia, Cosmin Anitescu, Seyed Shahram Ghorashi, Timon Rabczuk

Research output: Contribution to journalArticle

24 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)608-633
Number of pages26
JournalIMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)
Volume80
Issue number3
DOIs
Publication statusPublished - 2012 Sep 1

Fingerprint

Isogeometric Analysis
Interface Problems
Poisson equation
Discontinuity
Finite element method
Bimaterial
Extended Finite Element Method
Optimal Convergence Rate
Poisson's equation
Converge
Demonstrate

Keywords

  • curved triangular element
  • enrichment functions
  • inverse mapping
  • Isogeometric analysis
  • NURBS
  • Poissons equation
  • XIGA

ASJC Scopus subject areas

  • Applied Mathematics

Cite this

Extended isogeometric analysis for material interface problems. / Jia, Yue; Anitescu, Cosmin; Ghorashi, Seyed Shahram; Rabczuk, Timon.

In: IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), Vol. 80, No. 3, 01.09.2012, p. 608-633.

Research output: Contribution to journalArticle

Jia, Yue ; Anitescu, Cosmin ; Ghorashi, Seyed Shahram ; Rabczuk, Timon. / Extended isogeometric analysis for material interface problems. In: IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 2012 ; Vol. 80, No. 3. pp. 608-633.
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