کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
522290 | 867820 | 2011 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Fast integral equation methods for the modified Helmholtz equation
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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: Fast integral equation methods for the modified Helmholtz equation Fast integral equation methods for the modified Helmholtz equation](/preview/png/522290.png)
چکیده انگلیسی
We present integral equation methods for the solution to the two-dimensional, modified Helmholtz equation, u(x) − α2Δu(x) = 0, in bounded or unbounded multiply-connected domains. We consider both Dirichlet and Neumann problems. We derive well-conditioned Fredholm integral equations of the second kind, which are discretized using high-order, hybrid Gauss-trapezoid rules. Our fast multipole-based iterative solution procedure requires only O(N) operations, where N is the number of nodes in the discretization of the boundary. We demonstrate the performance of our methods on several numerical examples, and we show that they have both the ability to handle highly complex geometry and the potential to solve large-scale problems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 230, Issue 2, 20 January 2011, Pages 425–434
Journal: Journal of Computational Physics - Volume 230, Issue 2, 20 January 2011, Pages 425–434
نویسندگان
Mary Catherine A. Kropinski, Bryan D. Quaife,