کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
498275 862983 2014 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An integral equations method combined minimum norm solution for 3D elastostatics Cauchy problem
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
An integral equations method combined minimum norm solution for 3D elastostatics Cauchy problem
چکیده انگلیسی

In this paper, we establish new density results for the equilibrium equations. Based on the denseness result of the elastic potential functions, the Cauchy problem for the equilibrium equations is investigated. For this ill-posed problem, we construct a regularizing solution using the single-layer potential function. The well-posedness of the regularizing solution as well as the convergence property is rigorously analyzed. The advantage of the proposed scheme is that the regularizing solution is of the explicit analytic solution and therefore is easy to be implemented. The method combines minimum norm solution with Morozov discrepancy principle to solve an inverse problem. Convergence and stability estimates are then given with some examples for numerical verification on the efficiency of the proposed method. The numerical convergence, accuracy, and stability of the method with respect to the discretisation about the integral equations on pseudo-boundary and the distance between the pseudo-boundary and the real boundary of the solution domain, and decreasing the amount of noise added into the input data, respectively, are also analysed with some examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Methods in Applied Mechanics and Engineering - Volume 271, 1 April 2014, Pages 231–252
نویسندگان
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