کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
569934 876697 2009 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A modified boundary integral evolution formulation for the wave equation
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزار
پیش نمایش صفحه اول مقاله
A modified boundary integral evolution formulation for the wave equation
چکیده انگلیسی

We apply a modified boundary integral formulation otherwise known as the Green element method (GEM) to the solution of the two-dimensional scalar wave equation.GEM essentially combines three techniques namely: (a) finite difference approximation of the time term (b) finite element discretization of the problem domain and (c) boundary integral replication of the governing equation. These unique and advantageous characteristics of GEM facilitates a direct numerical approximation of the governing equation and obviate the need for converting the governing partial differential equation to a Helmholtz-type Laplace operator equation for an easier boundary element manipulation. C1 continuity of the computed solutions is established by using Overhauser elements. Numerical tests show a reasonably close agreement with analytical results. Though in the case of the Overhauser GEM solutions, the level of accuracy obtained does not in all cases justify the extra numerical rigor.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Engineering Software - Volume 40, Issue 7, July 2009, Pages 519–526
نویسندگان
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