Transfinite Interpolations and Eulerian/Lagrangian Dynamics

This innovative book introduces finite and transfinite interpolation methods at a general level in a unifying mathematical style before covering dynamical interpolation methods, which emphasize the underlying Eulerian/Lagrangian dynamics.

Transfinite Interpolations and Eulerian/Lagrangian Dynamics:

• Considers the support of the data set as a geometrically structured set as opposed to an unstructured cloud of points.
• Is a self-contained graduate-level text, integrating theory, applications, numerical approximations, and computational techniques.
  
  Tackles transfinite interpolation methods applied to finite element meshes adaptation and ALE fluid-structure interaction and to the construction of velocity fields from the boundary expression of shape derivatives.