Physical Sciences and Mathematics Commons^™

Automatic Curvilinear Quality Mesh Generation Driven By Smooth Boundary And Guaranteed Fidelity, Jing Xu, Andrey N. Chernikov

Computer Science Faculty Publications

The development of robust high-order finite 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: first, the boundary of the mesh is globally smooth; second, the mesh boundary satisfies a required fidelity tolerance. Invalid elements are eliminated. Example meshes demonstrate the features of the algorithm.