An interpolatory directional splitting-local discontinuous Galerkin method with application to pattern formation in 2D/3D
作者：
Highlights：
• The Local Discontinuous Galerkin method is used as spatial discretization.
• Decoupling of nonlinear and diffusion terms by an operator splitting technique.
• Nonlinear reaction sub-steps are completely parallel.
• Computational cost is substantially reduced by an interpolatory technique.
• A block directional splitting technique is used for diffusion sub-steps.
摘要
•The Local Discontinuous Galerkin method is used as spatial discretization.•Decoupling of nonlinear and diffusion terms by an operator splitting technique.•Nonlinear reaction sub-steps are completely parallel.•Computational cost is substantially reduced by an interpolatory technique.•A block directional splitting technique is used for diffusion sub-steps.
论文关键词：Discontinuous Galerkin,Splitting methods,Turing patterns,Nonlinear reaction-diffusion systems
论文评审过程：Received 4 August 2020, Revised 20 December 2020, Accepted 9 January 2021, Available online 16 January 2021, Version of Record 16 January 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.125984
