Volume 12, Issue 5
Error Estimation and Stress Recovery by Patch Equilibrium in the ‎‎Isogeometric Analysis Method

Ahmad Ganjali, Behrooz Hassani & Masoud Mahdizadeh Rokhi

Adv. Appl. Math. Mech., 12 (2020), pp. 1079-1112.

Published online: 2020-07

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  • Abstract

This article is devoted to the development of a new approach for stress recovery in the isogeometric analysis method which makes use of equilibrium of patches. It is shown that the obtained stresses of this approach are more accurate than our previous work based on using the super convergent property of the Gauss quadrature points. To demonstrate the efficiency of this error estimator, a few examples of elasticity problems with available analytical solutions are ‎modeled and solved. The obtained results are ‎compared with the exact solutions as well as our ‎previous method. These ‎results indicate superiority of the current method that can be considered ‎as a simple and ‎efficient approach for stress recovery and error estimation in the isogeometric ‎analysis ‎method.

  • Keywords

Isogeometric analysis, error estimation, stress recovery, patch equilibrium.

  • AMS Subject Headings

74S99

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-12-1079, author = {Ahmad Ganjali , and Behrooz Hassani , and Masoud Mahdizadeh Rokhi , }, title = {Error Estimation and Stress Recovery by Patch Equilibrium in the ‎‎Isogeometric Analysis Method}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2020}, volume = {12}, number = {5}, pages = {1079--1112}, abstract = {

This article is devoted to the development of a new approach for stress recovery in the isogeometric analysis method which makes use of equilibrium of patches. It is shown that the obtained stresses of this approach are more accurate than our previous work based on using the super convergent property of the Gauss quadrature points. To demonstrate the efficiency of this error estimator, a few examples of elasticity problems with available analytical solutions are ‎modeled and solved. The obtained results are ‎compared with the exact solutions as well as our ‎previous method. These ‎results indicate superiority of the current method that can be considered ‎as a simple and ‎efficient approach for stress recovery and error estimation in the isogeometric ‎analysis ‎method.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2018-0245}, url = {http://global-sci.org/intro/article_detail/aamm/17741.html} }
TY - JOUR T1 - Error Estimation and Stress Recovery by Patch Equilibrium in the ‎‎Isogeometric Analysis Method AU - Ahmad Ganjali , AU - Behrooz Hassani , AU - Masoud Mahdizadeh Rokhi , JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1079 EP - 1112 PY - 2020 DA - 2020/07 SN - 12 DO - http://doi.org/10.4208/aamm.OA-2018-0245 UR - https://global-sci.org/intro/article_detail/aamm/17741.html KW - Isogeometric analysis, error estimation, stress recovery, patch equilibrium. AB -

This article is devoted to the development of a new approach for stress recovery in the isogeometric analysis method which makes use of equilibrium of patches. It is shown that the obtained stresses of this approach are more accurate than our previous work based on using the super convergent property of the Gauss quadrature points. To demonstrate the efficiency of this error estimator, a few examples of elasticity problems with available analytical solutions are ‎modeled and solved. The obtained results are ‎compared with the exact solutions as well as our ‎previous method. These ‎results indicate superiority of the current method that can be considered ‎as a simple and ‎efficient approach for stress recovery and error estimation in the isogeometric ‎analysis ‎method.

Ahmad Ganjali, Behrooz Hassani & Masoud Mahdizadeh Rokhi. (2020). Error Estimation and Stress Recovery by Patch Equilibrium in the ‎‎Isogeometric Analysis Method. Advances in Applied Mathematics and Mechanics. 12 (5). 1079-1112. doi:10.4208/aamm.OA-2018-0245
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