کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
10354216 | 866529 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the preconditioners for fast multipole boundary element methods for 2D multi-domain elastostatics
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the preconditioners for fast multipole boundary element methods for 2D multi-domain elastostatics On the preconditioners for fast multipole boundary element methods for 2D multi-domain elastostatics](/preview/png/10354216.png)
چکیده انگلیسی
Fast multipole method (FMM) has been successfully applied to accelerate the numerical solvers of boundary element method (BEM). However, the coefficient matrix implicitly formed by using FMM is sometimes ill-conditioned in cases when mixed boundary conditions exist, resulting in poor rate of convergence for iteration. So preconditioning is a critical part in the development of efficient FMM solver for BEM. In this paper, preconditioners based on sparse approximate inverse type are used for fast multipole BEM to deal with 2D elastostatics. Several sparsity patterns of the preconditioner are considered for single- and multi-domain problems, especially for 2D elastic body with large number of inclusions or cracks. Algorithms and cost analysis of preconditioning under different prescribed sparsity patterns are discussed. GMRES is used as the iterative solver. Numerical results show this type of preconditioner achieves satisfactory rate of convergence for fast multipole BEM and performs well for problems of fairly large sizes.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 29, Issue 7, July 2005, Pages 673-688
Journal: Engineering Analysis with Boundary Elements - Volume 29, Issue 7, July 2005, Pages 673-688
نویسندگان
Haitao Wang, Zhenhan Yao, Pengbo Wang,