Neuroevolution-enabled adaptation of the Jacobi method for Poisson’s equation with density discontinuities  

作　　者：T.-R.Xiang X.I.A.Yang Y.-P.Shi 

机构地区：[1]Mechanical Engineering,Johns Hopkins University,MD 21218,USA [2]Department of Mechanics and Engineering Science,Peking University,Beijing 100871,China [3]Mechanical Engineering,Pennsylvania State University,Pennsylvania 16802,USA

出　　处：《Theoretical & Applied Mechanics Letters》2021年第3期172-179,共8页力学快报（英文版）

基　　金：Shi acknowledges financial support from the National Natural Science Foundation of China(Grant 91752202).

摘　　要：Lacking labeled examples of working numerical strategies,adapting an iterative solver to accommodate a numerical issue,e.g.,density discontinuities in the pressure Poisson equation,is non-trivial and usually involves a lot of trial and error.Here,we resort to evolutionary neural network.A evolutionary neural network observes the outcome of an action and adapts its strategy accordingly.The process requires no labeled data but only a measure of a network’s performance at a task.Applying neuro-evolution and adapting the Jacobi iterative method for the pressure Poisson equation with density discontinuities,we show that the adapted Jacobi method is able to accommodate density discontinuities.

关 键 词：Evolutionary neural network Jacobi method 

分 类 号：TP183[自动化与计算机技术—控制理论与控制工程] O241.6[自动化与计算机技术—控制科学与工程]