التفاصيل البيبلوغرافية
| العنوان: |
Finite element method for an optimal control problem governed by a time fractional wave equation. |
| المؤلفون: |
Wang, Shuo1 (AUTHOR) shuowang@mail.sdu.edu.cn, Zheng, Xiangcheng1 (AUTHOR) xzheng@sdu.edu.cn, Du, Ning1 (AUTHOR) duning@sdu.edu.cn |
| المصدر: |
Computers & Mathematics with Applications. Jun2024, Vol. 164, p45-66. 22p. |
| مصطلحات موضوعية: |
*FINITE element method, *WAVE equation, *OPTIMAL control theory |
| مستخلص: |
In this paper, we consider a finite element approximation of an optimal control problem governed by a time fractional wave equation. We first prove the well-posedness and regularity of the optimal control problem. Furthermore, we discuss the fully discrete scheme and analyze its stability and a priori error estimate. Numerical experiments are given to illustrate the theoretical findings. • The weak solution to the time fractional wave equation is studied under low regular data. • The well-posedness and regularity of the optimal control problem are proven. • Numerical schemes exist the first-order and second-order accuracy in time and space respectively. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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