کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
500622 | 863097 | 2006 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A finite element method using singular functions for Poisson equations: Mixed boundary conditions A finite element method using singular functions for Poisson equations: Mixed boundary conditions](/preview/png/500622.png)
In [Z. Cai, S. Kim, A finite element method using singular functions for the Poisson equation: corner singularities, SIAM J. Numer. Anal. 39 (2001) 286–299], we proposed a new finite element method to compute singular solutions of Poisson equations on a polygonal domain with re-entrant angles. Singularities are eliminated and only the regular part of the solution that is in H2 is computed. The stress intensity factor and the solution can be computed as a post-processing step. This method is extended to problems with crack singularities and to a higher-order method for smooth data in [Z. Cai, S. Kim, G. Woo, A finite element method using singular functions for the Poisson equation: crack singularities, Numer. Linear Algebra Appl. 9 (2002) 445–455]. In this paper, we study the Poisson equation with mixed boundary conditions. Examples with various singular points and numerical results are presented.
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 195, Issues 19–22, 1 April 2006, Pages 2635–2648