منابع مشابه
بررسی جواب های کامپکتون معادلات دیفرانسیل غیرخطی با استفاده از finite element method
کامپکتون ها، سالیتون هایی با پهنای محدود هستند. معادلات(k(m,n به ازای مقادیر خاصی از m و n دارای جواب کامپکتون هستند. از جمله این معادلات، معادلات (k(2,2 و (k(3,3 است. به دلیل خاصیت شبه ذره ای کامپکتون ها، این امواج بسیار مورد توجه فیزیکدانان قرار گرفته اند. برای بررسی کامپکتون ها، روش های عددی بسیاری وجود دارد. یکی از این روش ها که می توان برای حل این معادلات از آن استفاده کرد، روش المان های م...
15 صفحه اولFinite Element Method Course
and this problem can be solved analytically: u (x) = x − sinhx/sinh1. The purpose of starting with this problem is to demonstrate the fundamental concepts and pitfalls in FEM in a situation where we know the correct answer, so that we will know where our approximation is good and where it is poor. In cases of practical interest we will look at ODEs and PDEs that are too complex to be solved ana...
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Finite element methods are based on the variational formulation of partial differential equations which only need to compute the gradient of a function. Although unknowns are still associated to nodes, the function composed by piece-wise polynomials on each element and thus the gradient can be computed element-wise. Finite element spaces can thus be constructed on general triangulations and thi...
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1 EXECUTIVE SUMMARY In a low frequency analysis of vibration in a built-up structure, the eigen frequencies and the corresponding eigenmodes help the understanding of how and why the structure behaves as it does. These eigen solutions are also useful in calculations of forced response by modal super-position procedures. However, as frequency increases there are more and more modes with increasi...
متن کاملEvaluation of Fracture Parameters by Coupling the Edge-Based Smoothed Finite Element Method and the Scaled Boundary Finite Element Method
This paper presents a technique to evaluate the fracture parameters by combining the edge based smoothed finite element method (ESFEM) and the scaled boundary finite element method (SBFEM). A semi-analytical solution is sought in the region close to the vicinity of the crack tip using the SBFEM, whilst, the ESFEM is used for the rest of the domain. As both methods satisfy the partition of unity...
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ژورنال
عنوان ژورنال: Journal of open source software
سال: 2022
ISSN: ['2475-9066']
DOI: https://doi.org/10.21105/joss.03390