This book is mainly concerned with finite element methods for
time-dependent partial differential equations when the grids are
allowed to move in time, but also describes grid generation
techniques which include grid adjustment. The mechanism for grid
movement derives from a generalization of the residual minimization
technique which is familiar from the Galerkin finite element
method. The book brings together most of the work done over the
last decade or so which has been stimulated by Miller's original
idea, and discusses the interrelationships between the techniques
of the method and the established ideas of the method of
characteristics, Hamilton's equations, the Legendre transformation,
and grid equidistribution. The book highlights the issues involved
and should provide the reader with a clear view of the current
state of the subject and prompt further research.
General
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