Section: New Software and Platforms

Fmg

Keywords: Mesh adaptation, mesh deformation, elasticity, laplacian mesh equation

• Participants: Cécile Dobrzynski, Mario Ricchiuto, Leo Nouveau and Luca Arpaia

• Contact: Cécile Dobrzynski

Functional Description

FMG is a library deforming an input/reference simplicial mesh w.r.t. a given smoothness error monitor (function gradient or Hessian), metric field, or given mesh size distribution. Displacements are computed by solving an elliptic Laplacian type equation with a continuous finite element method. The library returns an adapted mesh with a corresponding projected solution, obtained by either a second order projection, or by an ALE finite element remap. This year a new semi-linear elasticity formulation has been implemented involving a constant coefficient PDE with a nonlinear force accounting for the smoothness of the target function. The advantage of this approach is that the non-linearity does not influence the elastic differential operator thus leading to a description of the deformation governed by a time-invariant matrix even in unsteady simulations. Other developments currently implemented in SLOWS are being imported in FMG.