کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
499136 863029 2009 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Consistency conditions for the influence graphs generalized finite difference method
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Consistency conditions for the influence graphs generalized finite difference method
چکیده انگلیسی

The modeling of physical phenomena is most often conveyed through partial differential equations governing continuous fields. Computational approaches are used afterwards in order to approximate the solutions to these equations. In doing so, a discretized version of the initial model must be set up using one of the numerous available methods. This paper illustrates how influence graphs (weighted digraphs with geometrical attributes) may behave in the same way as differential operators in so far as a set of appropriate conditions of consistency are satisfied. These conditions are written explicitly for the most often used cases, including differential boundary operators. On the one hand, a consistent neighborhood may be regarded as a generalization of a classical finite difference scheme. On the other hand, a consistent influence graph is a discrete object modeling a physical behavior as well as its continuous counterpart. Numerical experimentations address firstly the second order diffusion model and lastly the fourth order Kirchhoff theory of plate deflection.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 198, Issues 33–36, 1 July 2009, Pages 2565–2575
نویسندگان
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