کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
512820 866431 2011 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Splitting extrapolation algorithms for solving the boundary integral equations of Steklov problems on polygons by mechanical quadrature methods
چکیده انگلیسی

By the potential theory, Steklov eigenvalue problems are converted into boundary integral equations (BIEs). The singularities at corners and in the integral kernels are studied in this paper. Mechanical quadrature methods (MQMs) are presented to obtain approximations with a high accuracy order O(h3)O(h3). Moreover, the mechanical quadrature methods are simple without any singularly integral computation. Since the asymptotic expansions of the errors with the power O(h3)O(h3) are shown, the high accuracy order O(h5)O(h5) can be achieved for the solutions by using the splitting extrapolation algorithms (SEAs). A posteriori error estimate can also be obtained for self-adaptive algorithms. The efficiency of the algorithms is illustrated by examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Engineering Analysis with Boundary Elements - Volume 35, Issue 10, October 2011, Pages 1136–1141
نویسندگان
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