Moving Finite Elements

Written by one of the leading researchers in the field, this book clarifies the status of Moving Finite Elements and their relationship to existing methods, providing strong indications of their potential for high resolution and economy. Stimulated by Miller's original idea, much research has been undertaken over the past decade, and it is here brought together for the first time. Baines focuses on moving finite element methods for time-dependent partial differential equations when grids are allowed to move in time, and he also describes grid generation techniques which include grid adjustment. Interrelationships between the techniques of the method and established ideas of the method of characteristics, Hamilton's equations, the Legendre transformation, and grid equidistribution are covered in a major work which academics and researchers will welcome.