کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
567065 1452117 2016 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new boundary meshfree method for potential problems
ترجمه فارسی عنوان
یک روش مرزی جدید بدون مشکلی برای مشکلات بالقوه
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزار
چکیده انگلیسی


• A new singularity removal technique.
• A new regularized boundary integral equation, removing the singularity computation.
• Average source technique, resulting in no need of boundary integral.
• A new truly meshless method, termed average source method.

This work presents a new boundary meshfree method, named the average source method (ASM), for solving two-dimensional potential problems. The method is based on combining a ‘completely’ regularized boundary integral equation (CRBIE) with indirect unknowns developed in this paper, removing the singularity computation, and an average source technique (AST). In this approach there are two critical developments. One is the presentation of a new removal singularity technique that results in the CRBIE, and therefore all diagonal coefficients of influence matrices can be evaluated analytically by the off-diagonal ones, unlike some existing meshless boundary approaches that determine diagonal coefficients from the fundamental solution by using a known solution, thereby doubling the solution procedure. The other is to introduce an AST, by which the distributed source on a segment/cell can be reduced to the concentrated point source and therefore the boundary integrals in the CRBIE are not necessary. Hence, in the ASM only boundary nodes are required for computation without involving any integration and element notion. Several benchmark test examples are presented to demonstrate the accuracy, convergence, efficiency and robustness of this new meshfree boundary-node methodology.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Engineering Software - Volume 100, October 2016, Pages 32–42
نویسندگان
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