Geometrically Consistent Mesh Modification Academic Article uri icon


  • A new paradigm of adaptivity is to execute refinement, coarsening, and smoothing of meshes on manifolds with incomplete information about their geometry and yet preserve position and curvature accuracy. We refer to this collectively as geometrically consistent (GC) mesh modification. We discuss the concept of discrete GC, show the failure of naive approaches, and propose and analyze a simple algorithm that is GC and accuracy preserving. © 2010 Society for Industrial and Applied Mathematics.

author list (cited authors)

  • Bonito, A., Nochetto, R. H., & Pauletti, M. S.

citation count

  • 15

publication date

  • January 2010