This book is about adaptive mesh generation and moving mesh methods for the numerical
solution of time-dependent partial differential equations. It presents a general framework and …

An indispensable tool of the numerical solution of partial differential equations by finite-
element or finite-difference methods on general regions is a grid which represents the …

In this article we survey r-adaptive (or moving grid) methods for solving time-dependent
partial differential equations (PDEs). Although these methods have received much less …

Anisotropic mesh adaptation is a key feature in many numerical simulations to capture the
physical behavior of a complex phenomenon at a reasonable computational cost. It is a …

Moving Mesh Methods for Computational Fluid Dynamics Page 1 Contemporary Mathematics
Moving Mesh Methods for Computational Fluid Dynamics Tao Tang Abstract. In this paper …

A new adaptive mesh movement strategy is presented, which, unlike many existing moving
mesh methods, targets the mesh velocities rather than the mesh coordinates. The mesh …

In this paper, we investigate the numerical simulation of particulate flows using a new
moving mesh method combined with the multigrid fictitious boundary method (FBM)[S …

This article describes a number of velocity-based moving mesh numerical methods for
multidimensional nonlinear time-dependent partial differential equations (PDEs). It consists …

A new cell-area equidistribution method for two-dimensional grid adaptation, based on
Monge–Kantorovich optimization (or Monge–Kantorovich optimal transport), is presented …

An adaptive remeshing procedure based on a cell volume deformation method is presented.
Starting with an initial grid, this method offers direct cell volume control through the …