کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4640155 | 1341263 | 2011 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Parallel Galerkin domain decomposition procedures based on the streamline diffusion method for convection-diffusion problems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
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چکیده انگلیسی
Based upon the streamline diffusion method, parallel Galerkin domain decomposition procedures for convection-diffusion problems are given. These procedures use implicit method in the sub-domains and simple explicit flux calculations on the inter-boundaries of sub-domains by integral mean method or extrapolation method to predict the inner-boundary conditions. Thus, the parallelism can be achieved by these procedures. The explicit nature of the flux calculations induces a time step limitation that is necessary to preserve stability. Artificial diffusion parameters δ are given. By analysis, optimal order error estimate is derived in a norm which is stronger than L2-norm for these procedures. This error estimate not only includes the optimal H1-norm error estimate, but also includes the error estimate along the streamline direction âβâ
â(uâU)â, which cannot be achieved by standard finite element method. Experimental results are presented to confirm theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 15, 1 June 2011, Pages 4464-4479
Journal: Journal of Computational and Applied Mathematics - Volume 235, Issue 15, 1 June 2011, Pages 4464-4479
نویسندگان
Keying Ma, Tongjun Sun,