Nguyen-Thanh, N., Nguyen-Xuan, H., Bordas, Stephane Pierre Alain ![]() |
Abstract
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.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Engineering |
Subjects: | T Technology > TJ Mechanical engineering and machinery |
Uncontrolled Keywords: | Isogeometric analysis; T-spline; T-meshes; PHT-spline |
Publisher: | Elsevier |
ISSN: | 0045-7825 |
Last Modified: | 18 Oct 2022 13:33 |
URI: | https://orca.cardiff.ac.uk/id/eprint/14354 |
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