Optimization of P2 meshes and applications

Rémi Feuillet (1) , Adrien Loseille (1) , Frédéric Alauzet (1)

1 GAMMA - Génération Adaptative de Maillage et Méthodes numériques Avancées

Mesh optimization techniques are a way to locally modify the mesh in order to improve it with respect to a given quality criterion. To this end, this work presents the generalization of two mesh quality-based optimization operators to P2 meshes. The generalized operators consist in mesh smoothing and generalized swapping. With the use of these operators, P2 mesh generation starting from a P1 mesh is more robust and P2 connectivity-change moving mesh methods for large displacements are now possible.

Mots clés: High-order meshes; Mesh optimization; Connectivity-change moving mesh methods

Domaines: Analyse numérique [math.NA]

Rémi Feuillet, Adrien Loseille, Frédéric Alauzet. Optimization of P2 meshes and applications. Computer-Aided Design, 2020, 124, pp.102846. ⟨10.1016/j.cad.2020.102846⟩. ⟨hal-02554187⟩