A local discontinuous Galerkin method for the pattern formation dynamical model in polymerizing action flocks  

作　　者：Lulu Tian Xiuhui Guo Hui Guo Maosheng Jiang Yang Yang Jiansong Zhang 

机构地区：[1]College of Science,China University of Petroleum,Qingdao,266580,China [2]Beijing Computational Science Research Center,Beijing,100193,China [3]Department of Mathematics,Michigan Technological University,Houghton,MI,49931,USA

出　　处：《Science China Mathematics》2022年第4期849-868,共20页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11801569 and 11571367);Natural Science Foundation of Shandong Province(CN)(Grant Nos.ZR2018BA011 and ZR2019MA015);the Fundamental Research Funds for the Central Universities(Grant Nos.18CX02021A and 18CX05003A);National Science Foundation of USA(Grant No.DMS-1818467).

摘　　要：In this paper,we apply local discontinuous Galerkin methods to the pattern formation dynamical model in polymerizing action flocks.Optimal error estimates for the density and filament polarization in different norms are established.We use a semi-implicit spectral deferred correction time method for time discretization,which allows a relative large time step and avoids computation of a Jacobian matrix.Numerical experiments are presented to verify the theoretical analysis and to show the capability for simulations of action wave formation.

关 键 词：local discontinuous Galerkin method error estimate pattern formation spectral deferred correction time method 

分 类 号：O241.82[理学—计算数学]