کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901860 1631948 2018 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An HDG method for distributed control of convection diffusion PDEs
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
An HDG method for distributed control of convection diffusion PDEs
چکیده انگلیسی
We propose a hybridizable discontinuous Galerkin (HDG) method to approximate the solution of a distributed optimal control problem governed by an elliptic linear convection diffusion PDE. We use degree k polynomials to approximate the state, adjoint state, their fluxes, and the optimal control, and we show the approximations converge with order k+1 in the L2 norm. Finally, we use a simple element-by-element postprocessing scheme to obtain new superconvergent approximations of the state, dual state and the control. We show the postprocessed variables converge with order k+2 in the L2 norm. We present 2D and 3D numerical experiments to illustrate our theoretical results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 343, 1 December 2018, Pages 643-661
نویسندگان
, , , , , ,