کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
471495 698637 2016 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Finite element approximation of optimal control problems governed by time fractional diffusion equation
ترجمه فارسی عنوان
تقسیم عنصر محدود از مشکلات کنترل بهینه تحت معادله انتشار کسر
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی

In this paper Galerkin finite element approximation of optimal control problems governed by time fractional diffusion equations is investigated. Piecewise linear polynomials are used to approximate the state and adjoint state, while the control is discretized by variational discretization method. A priori error estimates for the semi-discrete approximations of the state, adjoint state and control are derived. Furthermore, we also discuss the fully discrete scheme for the control problems. A finite difference method developed in Lin and Xu (2007) is used to discretize the time fractional derivative. Fully discrete first order optimality condition is developed based on ‘first discretize, then optimize’ approach. The stability and truncation error of the fully discrete scheme are analyzed. Numerical example is given to illustrate the theoretical findings.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 71, Issue 1, January 2016, Pages 301–318
نویسندگان
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