On global and local mesh refinements by a generalized conforming bisection algorithm
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摘要
We examine a generalized conforming bisection (GCB-)algorithm which allows both global and local nested refinements of the triangulations without generating hanging nodes. It is based on the notion of a mesh density function which prescribes where and how much to refine the mesh. Some regularity properties of generated sequences of refined triangulations are proved. Several numerical tests demonstrate the efficiency of the proposed bisection algorithm. It is also shown how to modify the GCB-algorithm in order to generate anisotropic meshes with high aspect ratios.
论文关键词:65M50,65N30,65N50,Zlámal’s minimum angle condition,Finite element method,Nested triangulations,Conforming longest-edge bisection algorithm,High aspect ratio elements
论文评审过程:Received 4 September 2009, Revised 5 April 2010, Available online 8 June 2010.
论文官网地址:https://doi.org/10.1016/j.cam.2010.05.046