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 …

Fundamentals of Grid Generation is an outstanding text/reference designed to introduce
students in applied mathematics, mechanical engineering, and aerospace engineering to …

Numerical grid generation plays a critical role in any scientific computing problem when the
geometry of the underlying region is complex or when the solution has a complex structure …

We present a simple direct discretization for functionals used in the variational mesh
generation and adaptation. Meshing functionals are discretized on simplicial meshes and …

A new method for generating adaptive moving grids is formulated based on physical
quantities. Level set functions are used to construct the adaptive grids, which are solutions of …

Variational grid generation techniques are now used to produce grids suitable for solving
numerical partial differential equations in irregular geometries. The method considered here …

A new method to produce convex and smooth grids over general plane regions is
introduced. This method belongs to the discrete variational grid generation approach …

A variational principle is proposed that results in a robust elliptic grid generator having many
of the strengths of original Winslow or homogeneous Thompson-Thames-Mastin method …

A survey of works concerning difficulties associated with harmonic grid generation in plane
domains with angles and cutouts is given, and some new results are presented. It is well …

When variational grid generation techniques are used to produce grids suitable for solving
numerical partial differential equations in irregular geometries, a reference grid can be used …