10 فروردین 1403
احمد شيرزادي

احمد شیرزادی

مرتبه علمی: دانشیار
نشانی: دانشکده مهندسی سیستم های هوشمند و علوم داده - گروه ریاضی
تحصیلات: دکترای تخصصی / ریاضی کاربردی
تلفن: 07733441494
دانشکده: دانشکده مهندسی سیستم های هوشمند و علوم داده

مشخصات پژوهش

عنوان A greedy MLPG method for identifying a control parameter in 2D parabolic PDEs
نوع پژوهش مقالات در نشریات
کلیدواژه‌ها
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مجله INVERSE PROBLEMS IN SCIENCE AND ENGINEERING
شناسه DOI
پژوهشگران فریبا تخت آبنوس (نفر اول) ، احمد شیرزادی (نفر دوم)

چکیده

In this paper, we consider coefficient inverse problems, which are associated with the identification of unknown time dependent control parameter and unknown solution of two-dimensional parabolic inverse problem with overspecialization at a point in the spatial domain.After suitable finite difference approximation of time variable,an MLPG method is used for spatial discretization. To improve the efficiency of the MLPG method, a greedy algorithm is used. In fact, using the greedy algorithm, we avoid using more points from the data site than absolutely necessary and therefore, the method becomes more efficient. Comparison of the different kind of point selection and the effect of noisy data are performed for four test problems while our last test problem considers a problem with unknown solution. The results reveal that the method is efficient.