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Provably Size-guaranteed Mesh Generation with Superconvergence by Li, Xiangrong; Qi, Nan; Nie, Yufeng; Zhang, Weiwei is a scholarly article available to read on EtoBox.

What is Provably Size-guaranteed Mesh Generation with Superconvergence about?

The properties and applications of superconvergence on size-guaranteed Delaunay triangulation generated by bubble placement method (BPM), are studied in this paper. First, we derive a mesh condition that the difference between the actual side length and the desired length $h$ is as small as ${\cal O}(h^{1+{\alpha}})$ $({\alpha}>0)$. Second, the superconvergence estimations are analyzed on linear and quadratic finite element for elliptic boundary value problem based on the above mesh condition. In particular, the mesh condition is suitable for many known superconvergence estimations of different equations. Numerical tests are provided to verify the theoretical findings and to exhibit the superconvergence property on BPM-based grids.

Author

Li, Xiangrong; Qi, Nan; Nie, Yufeng; Zhang, Weiwei

Published

2019

Language

EN