標(biāo)題：An iterative solver for time-periodic heat optimal control problems
報(bào)告時(shí)間：2024年4月19日（星期五）10:30-11:15
報(bào)告地點(diǎn)：線(xiàn)上騰訊會(huì)議（會(huì)議ID:961473412 密碼:13267)
主講人：李科
主辦單位：數(shù)學(xué)與統(tǒng)計(jì)學(xué)院
報(bào)告內(nèi)容簡(jiǎn)介：
In this talk we introduce an iterative algorithm for solving a class of optimal control problems constrained by time-periodic heat equation, where the optimization is concerned by searching a best source term of the heat equation to minimize the objective function. By applying the optimality condition, the problem is firstly transformed into two coupled time-period heat equations. Then iterative algorithm is applied to decouple the PDE system. Finally, the equations are separately solved in the Gauss-Seidel pattern. Numerical examples are presented to illustrate the robustness of convergence rate of the algorithm with respect to the discretization parameters.
主講人簡(jiǎn)介：
李科教授主要從事石油工程中的數(shù)學(xué)問(wèn)題研究，研究領(lǐng)域涉及石油工程建模以及相關(guān)數(shù)學(xué)問(wèn)題的數(shù)值計(jì)算。近年來(lái)在大規(guī)模線(xiàn)性代數(shù)問(wèn)題數(shù)值求解方程取得了一些創(chuàng)新研究成果。
