کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
514129 | 866701 | 2011 | 10 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Isogeometric analysis-based goal-oriented error estimation for free-boundary problems Isogeometric analysis-based goal-oriented error estimation for free-boundary problems](/preview/png/514129.png)
We consider goal-oriented error estimation for free-boundary problems using isogeometric analysis. Goal-oriented methods require the solution of the dual problem, which is a problem for the adjoint of the linearized free-boundary problem. Owing to linearization, this dual problem includes a curvature-dependent boundary condition, which leads to cumbersome implementations if the discrete free boundary is only continuous, as in a piecewise-linear representation. Isogeometric finite elements straightforwardly provide continuously differentiable free boundaries for which the corresponding dual problem can be easily implemented.We illustrate the computation of the linearized-adjoint problems with two test cases and estimate the error in corresponding quantities of interest. In the first problem, a single B-spline patch can be employed. In the second problem, we employ T-splines. Bézier extraction is used to provide a finite element interface to these two distinct spline technologies.
Journal: Finite Elements in Analysis and Design - Volume 47, Issue 6, June 2011, Pages 600–609