Velocity-Based Moving Mesh Methods for Nonlinear Partial Differential Equations  

作　　者：M.J.Baines M.E.Hubbard P.K.Jimack 

机构地区：[1]Department of Mathematics,The University of Reading,RG66AX,UK. [2]School of Computing,University of Leeds,LS29JT,UK

出　　处：《Communications in Computational Physics》2011年第8期509-576,共68页计算物理通讯（英文）

摘　　要：This article describes a number of velocity-based moving mesh numerical methods for multidimensional nonlinear time-dependent partial differential equations(PDEs).It consists of a short historical review followed by a detailed description of a recently developed multidimensional moving mesh finite element method based on conservation.Finite element algorithms are derived for both mass-conserving and non mass-conserving problems,and results shown for a number of multidimensional nonlinear test problems,including the second order porous medium equation and the fourth order thin film equation as well as a two-phase problem.Further applications and extensions are referenced.

关 键 词：Time-dependent nonlinear diffusion moving boundaries finite element method Lagrangian meshes conservation of mass 

分 类 号：O17[理学—数学]