دانلود مقاله ISI انگلیسی شماره 25554
عنوان فارسی مقاله

در یک راه حل قابل اعتماد از یک معادله بیضی شبه خطی با ضرایب نامشخص: تجزیه و تحلیل حساسیت و نمونه های عددی

کد مقاله سال انتشار مقاله انگلیسی ترجمه فارسی تعداد کلمات
25554 2001 14 صفحه PDF سفارش دهید محاسبه نشده
خرید مقاله
پس از پرداخت، فوراً می توانید مقاله را دانلود فرمایید.
عنوان انگلیسی
On a reliable solution of a quasilinear elliptic equation with uncertain coefficients: sensitivity analysis and numerical examples
منبع

Publisher : Elsevier - Science Direct (الزویر - ساینس دایرکت)

Journal : Nonlinear Analysis: Theory, Methods & Applications, Volume 44, Issue 3, April 2001, Pages 375–388

کلمات کلیدی
معادله بیضی نیمه خطی - راه حل قابل اعتماد - داده های غیر قطعی - تجزیه و تحلیل حساسیت - جریان گرما حالت پایدار -
پیش نمایش مقاله
پیش نمایش مقاله در یک راه حل قابل اعتماد از یک معادله بیضی شبه خطی با ضرایب نامشخص: تجزیه و تحلیل حساسیت و نمونه های عددی

چکیده انگلیسی

The aim of the paper is to add sensitivity analysis and numerical tests to the existence and convergence results published in [2]. The isotropic material case is studied in [1]. By way of contrast, anisotropic medium is considered in this paper. The mathematical problem examined in the paper has a clear physical meaning. In the words of physics, we can say we consider a steady-state heat flow in an anisotropic body. The temperature distribution is modeled by a quasilinear elliptic equation with uncertain coefficients of heat conductivity. These are temperature dependent and belong to an admissible set derived from measurements, for example. We choose a small test subdomain G and look for the difference between the highest and the lowest mean temperature we can get on G taking into account admissible conductivities. Since the body is anisotropic, the Kirchhoff transformation cannot be applied to get rid of the nonlinearity in the state equation. Also, cost functional gradient computation is more complex than in the case of an isotropic material (cf. [1]). The paper is organized as follows. In Section 2, we briefly introduce the problem and its approximation, and give a survey of relevant existence as well as convergence results. Section 3 deals with sensitivity analysis, i.e., we focus on the gradient of the cost functional. Finally, numerical examples are presented in Section 4.

خرید مقاله
پس از پرداخت، فوراً می توانید مقاله را دانلود فرمایید.