A local discontinuous Galerkin method for pattern formation dynamical model in polymerizing action flocks
Document Type
Article
Publication Date
1-7-2021
Department
Department of Mathematical Sciences
Abstract
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.
Publication Title
Science China Mathematics
Recommended Citation
Tian, L.,
Guo, X.,
Guo, H.,
Jiang, M.,
Yang, Y.,
&
Zhang, J.
(2021).
A local discontinuous Galerkin method for pattern formation dynamical model in polymerizing action flocks.
Science China Mathematics.
http://doi.org/10.1007/s11425-020-1748-8
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/14632
Publisher's Statement
© 2021, Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature. Publisher’s version of record: https://doi.org/10.1007/s11425-020-1748-8