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Why the Kellogg Mesh Is Radial: A Mathematical Explanation of a Classical Computational Benchmark

Zhang, Shun
arXiv (OAI Expanded) · Papers
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35j2565n1565n30numerical-analysis
Kellogg's checkerboard interface problem is a classical benchmark for robust adaptive finite element methods. Its successful adaptive meshes are radial: they refine strongly toward the interface crossing but show no angular structure, despite the large contrast and the asymmetric solution. We explai
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