Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 200, Issue 21-22, Pages 1892-1908Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2011.01.018
Keywords
Isogeometric analysis; T-spline; T-meshes; PHT-spline
Funding
- Academic Research Collaboration (ARC/DAAD)
- Vietnam National Foundation for Science and Technology Development (NAFOSTED)
- EPSRC [EP/G069352/1, EP/G042705/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/G069352/1, EP/G042705/1] Funding Source: researchfish
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Isogeometric analysis has become a powerful alternative to standard finite elements due to its flexibility in handling complex geometries. One of the major drawbacks of NURBS-based isogeometric finite elements is the inefficiency of local refinement. In this study, we present an alternative to NURBS-based isogeometric analysis that allows for local refinement. The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support and partition of unity. Several numerical examples are used to demonstrate the reliability of the present method. (C) 2011 Elsevier B.V. All rights reserved.
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