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Automatic curvilinear mesh generation with smooth boundary driven by guaranteed validity and delity

 

Jing Xu and Andrey Chernikov.

 

Published in International Meshing Roundtable, Publisher Springer, accepted, October, 2014

 

Abstract

 

The development of robust high-order nite element methods requires the construction of valid high-order meshes for complex geometries without user intervention. This paper presents a novel approach for automatically generating a high-order mesh with two main features: rst, the boundary of the mesh is globally smooth; second, the mesh boundary satises a required delity tolerance. Invalid elements are guaranteed to be eliminated. Example meshes demonstrate the features of the algorithm.