https://doi.org/10.1140/epjp/s13360-023-04453-9
Regular Article
Error estimation in nonlinear problems based on stress recovery in t-r-refinement strategy by isogeometric method
Department of Civil Engineering, Shahrood Branch, Islamic Azad University, Shahrood, Iran
b
Ahmad.ganjali@iau-shahrood.ac.ir
Received:
18
February
2023
Accepted:
7
September
2023
Published online:
25
September
2023
In this research, stress recovery methods using superconvergent points and equilibrium in patches methods have been used in solving nonlinear problems to achieve more reliable results. These two methods have been compared with the help of the isogeometric analysis method. The performance of these two methods in guiding the adaptive solution algorithm based on the movement of control points has been investigated. In the stress recovery methods, error estimation has been considered by assuming the error as a thermal gradient dependent on the energy norm. For this purpose, we carried out modeling of two nonlinear problems based on their analytical solution, and the results have shown that both stress recovery methods used in improving the network of control points have had a desirable effect. The effectiveness of the equilibrium in patches method is more than the method based on superconvergent points in achieving more accurate results, and it can be used as a suitable solution to improve the stress field.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.