Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 372, Issue -, Pages -Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2020.113445
Keywords
Finite element method; Discrete curvature; Continuous interior penalty; Projection method
Funding
- Swedish Foundation for Strategic Research Grant [AM13-0029]
- Swedish Research Council [2011-4992, 2013-4708]
- Swedish Research Programme Essence
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In this paper we consider finite element approaches to computing the mean curvature vector and normal at the vertices of piecewise linear triangulated surfaces. In particular, we adopt a stabilization technique which allows for first order L-2-convergence of the mean curvature vector and apply this stabilization technique also to the computation of continuous, recovered, normals using L-2-projections of the piecewise constant face normals. Finally, we use our projected normals to define an adaptive mesh refinement approach to geometry resolution where we also employ spline techniques to reconstruct the surface before refinement. We compare our results to previously proposed approaches. (c) 2020 Elsevier B.V. All rights reserved.
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