Error estimation in nonlinear problems based on stress recovery in t-r-refinement strategy by isogeometric method

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 tw...

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Bibliographic Details
Published in:European physical journal plus 2023-09, Vol.138 (9), p.839, Article 839
Main Authors: Shahini, Ali, Ganjali, Ahmad, Mirzakhani, Aboozar
Format: Article
Language:English
Subjects:
Adaptive algorithms
Adaptive control
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Equilibrium methods
Error analysis
Exact solutions
Geometry
Knots
Mathematical and Computational Physics
Mathematical functions
Methods
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Recovery
Regular Article
Stress distribution
Theoretical
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Summary: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. Graphic Abstract
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-023-04453-9