کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637794 1631982 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Determination of a term in the right-hand side of parabolic equations
ترجمه فارسی عنوان
تعیین یک اصطلاح در سمت راست معادلات پارابولی
کلمات کلیدی
مشکلات منبع معکوس؛ مشاهدات یکپارچه؛ روش کمترین مربع؛ تصحیح Tikhonov؛ روش اجزای محدود؛ روش گرادیان مزدوج
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
چکیده انگلیسی

The inverse problem of determining a term in the right hand side of parabolic equations from integral observations is investigated. The observations can be regarded as generalized interior point observations which are collected in practice. The problem is then reformulated as a least squares problem in coupling with a Tikhonov regularization term. It is proved that the Tikhonov functional is Fréchet differentiable and a formula for the gradient is derived via an adjoint problem. The variational problem is discretized by the finite element method, the convergence of which is proved. The discretized variational problem is numerically solved by the conjugate gradient method. Some numerical examples are presented for showing the efficiency of the method.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 309, 1 January 2017, Pages 28–43
نویسندگان
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