Improvements of generalized finite difference method and comparison with other meshless method
نویسندگان
چکیده
منابع مشابه
Meshless Finite Difference Method – State of the Art
MFDM [1, 3, 5, 16, 17] is the oldest and one of the most effective Meshless Methods [4, 6, 7]. Its current outlines, including the basic MFDM procedure, its various extensions and selected applications, demonstrating power, generality and versatility of the method competitive to main contemporary solution methods are briefly considered here. The MFDM may be applied in all formulations (strong, ...
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در سال های اخیر، تقاضای استفاده از تئوری خطی ویسکوالاستیسیته بیشتر شده است. با افزایش استفاده از کامپوزیت های پیشرفته در صنایع هوایی و همچنین استفاده روزافزون از مواد پلیمری، اهمیت روش های دقیق طراحی و تحلیل چنین ساختارهایی بیشتر شده است. این مواد جدید از خودشان رفتارهای مکانیکی ارائه می دهند که با تئوری های الاستیسیته و ویسکوزیته، نمی توان آن ها را توصیف کرد. این مواد، خواص ویسکوالاستیک دارند....
The meshless finite element method
A meshless method is presented which has the advantages of the good meshless methods concerning the ease of introduction of node connectivity in a bounded time of order n, and the condition that the shape functions depend only on the node positions. Furthermore, the method proposed also shares several of the advantages of the Finite Element Method such as: (a) the simplicity of the shape functi...
متن کاملComparison Study on the Performances of Finite Volume Method and Finite Difference Method
Vorticity-stream function method and MAC algorithm are adopted to systemically compare the finite volume method (FVM) and finite difference method (FDM) in this paper. Two typical problems—lid-driven flow and natural convection flow in a square cavity—are taken as examples to compare and analyze the calculation performances of FVM and FDMwith variant mesh densities, discrete forms, and treatmen...
متن کاملMeshless Generalized Finite Difference Method and Human Carotid Atherosclerotic Plaque Progression Simulation Using Multi-Year MRI Patient-Tracking Data.
Atherosclerotic plaque rupture and progression have been the focus of intensive investigations in recent years. Plaque rupture is closely related to most severe cardiovascular syndromes such as heart attack and stroke. A computational procedure based on meshless generalized finite difference (MGFD) method and serial magnetic resonance imaging (MRI) data was introduced to quantify patient-specif...
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ژورنال
عنوان ژورنال: Applied Mathematical Modelling
سال: 2003
ISSN: 0307-904X
DOI: 10.1016/s0307-904x(03)00091-x