Mathematics > Numerical Analysis
[Submitted on 30 Oct 2019 (v1), last revised 2 May 2024 (this version, v5)]
Title:Superconvergence of differential structure for finite element methods on perturbed surface meshes
View PDF HTML (experimental)Abstract:Superconvergence of differential structure on discretized surfaces is studied in this paper. The newly introduced geometric supercloseness provides us with a fundamental tool to prove the superconvergence of gradient recovery on deviated surfaces. An algorithmic framework for gradient recovery without exact geometric information is introduced. Several numerical examples are documented to validate the theoretical results.
Submission history
From: Guozhi Dong [view email][v1] Wed, 30 Oct 2019 19:24:12 UTC (1,283 KB)
[v2] Mon, 16 Dec 2019 17:04:22 UTC (1 KB) (withdrawn)
[v3] Tue, 17 Dec 2019 20:46:37 UTC (2,500 KB)
[v4] Mon, 28 Dec 2020 11:49:01 UTC (1,441 KB)
[v5] Thu, 2 May 2024 13:53:45 UTC (2,841 KB)
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