An error indicator for two-dimensional elasticity problems in the discrete least squares meshless method
Year
: 2009
Abstract: An error indicator of the discrete least squares method (DLSM) for 2D elastostatic problems is presented.
In the DLSM, the problem domain is discretized by distributed field nodes. The field nodes are used to
construct the trial functions. The moving least-squares interpolant is employed to construct the trial
functions. The least-squares technique is used to obtain the solution of the problem by minimizing the
summation of the residuals for the field nodes. The error indicator is readily computed from the residual
of the governing differential equation. It is demonstrated, through some elastostatic problems, that the
error indicator reflects the exact error.
In the DLSM, the problem domain is discretized by distributed field nodes. The field nodes are used to
construct the trial functions. The moving least-squares interpolant is employed to construct the trial
functions. The least-squares technique is used to obtain the solution of the problem by minimizing the
summation of the residuals for the field nodes. The error indicator is readily computed from the residual
of the governing differential equation. It is demonstrated, through some elastostatic problems, that the
error indicator reflects the exact error.
Keyword(s): Discrete least squares method,Meshless,Error estimate,Elasticity
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An error indicator for two-dimensional elasticity problems in the discrete least squares meshless method
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| contributor author | M. Naisipour | en |
| contributor author | M. H. Afshar | en |
| contributor author | بهروز حسنی | en |
| contributor author | M. Zeinali | en |
| contributor author | Behrooz Hassani | fa |
| date accessioned | 2020-06-06T14:10:13Z | |
| date available | 2020-06-06T14:10:13Z | |
| date copyright | 5/11/2009 | |
| date issued | 2009 | |
| identifier uri | http://libsearch.um.ac.ir:80/fum/handle/fum/3385362 | |
| description abstract | An error indicator of the discrete least squares method (DLSM) for 2D elastostatic problems is presented. In the DLSM, the problem domain is discretized by distributed field nodes. The field nodes are used to construct the trial functions. The moving least-squares interpolant is employed to construct the trial functions. The least-squares technique is used to obtain the solution of the problem by minimizing the summation of the residuals for the field nodes. The error indicator is readily computed from the residual of the governing differential equation. It is demonstrated, through some elastostatic problems, that the error indicator reflects the exact error. | en |
| language | English | |
| title | An error indicator for two-dimensional elasticity problems in the discrete least squares meshless method | en |
| type | Conference Paper | |
| contenttype | External Fulltext | |
| subject keywords | Discrete least squares method | en |
| subject keywords | Meshless | en |
| subject keywords | Error estimate | en |
| subject keywords | Elasticity | en |
| identifier link | https://profdoc.um.ac.ir/paper-abstract-1034815.html | |
| conference title | 8th International Congress on Civil Engineering | en |
| conference location | Shiraz | fa |
| identifier articleid | 1034815 |