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Automatic curvilinear quality mesh generation with smooth mesh boundaries of medical images

 

Jing Xu and Andrey Chernikov.

 

Published in VMASC 2015 Capstone Conference, April, 2015

 

Abstract

 

The development of robust high-order finite element methods requires the curvilinear discretization for complex geometries without user intervention. In this work we present a new technique that allows for the automatic construction of high-order curvilinear meshes with two main features: first, the boundary of the mesh is globally smooth, i.e., it satisfies either the C1 or the C2 smoothness requirement; second, all elements are valid as measured by their Jacobians. Example meshes demonstrate the features of the algorithm.