An adaptive moving mesh method for thin film flow equations with surface tension
作者：
Highlights：
• We are the first to implement r-adaptive schemes to higher order parabolic PDEs.
• This method accurately resolves the solution and reduces the computational effort.
• We introduce a new mesh density function that resolves multiple solution structures.
• This mesh density function is also adapted to include multiple solution components.
摘要
•We are the first to implement r-adaptive schemes to higher order parabolic PDEs.•This method accurately resolves the solution and reduces the computational effort.•We introduce a new mesh density function that resolves multiple solution structures.•This mesh density function is also adapted to include multiple solution components.
论文关键词：Thin film flows,Surface tension,Adaptive moving mesh,r-adaptive method,Moving mesh PDEs (MMPDEs),Mesh density function
论文评审过程：Received 12 April 2016, Revised 1 December 2016, Available online 25 January 2017, Version of Record 7 February 2017.
论文官网地址：https://doi.org/10.1016/j.cam.2017.01.019
