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.
- ISBN10 0198534671
- ISBN13 9780198534679
- Publish Date 1 December 1994
- Publish Status Active
- Publish Country GB
- Publisher Oxford University Press
- Imprint Clarendon Press
- Format Hardcover
- Pages 240
- Language English