کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
568356 876375 2011 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On a Galerkin boundary node method for potential problems
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزار
پیش نمایش صفحه اول مقاله
On a Galerkin boundary node method for potential problems
چکیده انگلیسی

A Galerkin boundary node method (GBNM), for boundary only analysis of partial differential equations, is discussed in this paper. The GBNM combines an equivalent variational form of a boundary integral equation with the moving least-squares (MLS) approximations for generating the trial and test functions of the variational formulation. In this approach, only a nodal data structure on the boundary of a domain is required, and boundary conditions can be implemented directly and easily despite of the fact that the MLS shape functions lack the delta function property. Formulations of the GBNM using boundary singular integral equations of the second kind for potential problems are developed. The theoretical analysis and numerical results indicate that it is an efficient and accurate numerical method.


► A meshless Galerkin boundary node method is developed for boundary analysis of interior and exterior potential problems.
► Formulations of the method using boundary singular integral equations of the second kind are derived.
► The convergence and error estimates of this method are presented.
► Numerical examples are given to show the efficiency.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Engineering Software - Volume 42, Issue 11, November 2011, Pages 927–933
نویسندگان
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