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Finite element proc...
Finite element procedures for computing normals and mean curvature on triangulated surfaces and their use for mesh refinement
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- Cenanovic, Mirza (author)
- Jönköping University,JTH, Produktionsutveckling
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- Hansbo, Peter (author)
- Jönköping University,JTH, Material och tillverkning
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- Larson, Mats G. (author)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Department of Mathematics and Mathematical Statistics, Umeå University
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(creator_code:org_t)
- Elsevier, 2020
- 2020
- English.
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In: Computer Methods in Applied Mechanics and Engineering. - : Elsevier. - 0045-7825 .- 1879-2138. ; 372
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Subject headings
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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 L2-convergence of the mean curvature vector and apply this stabilization technique also to the computation of continuous, recovered, normals using L2-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.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Maskinteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Mechanical Engineering (hsv//eng)
- NATURVETENSKAP -- Data- och informationsvetenskap -- Datorteknik (hsv//swe)
- NATURAL SCIENCES -- Computer and Information Sciences -- Computer Engineering (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- Continuous interior penalty
- Discrete curvature
- Finite element method
- Projection method
- Piecewise linear techniques
- Stabilization
- Adaptive mesh refinement
- Finite element procedure
- Finite-element approach
- Mean curvature vector
- Piece-wise constants
- Piecewise linear
- Stabilization techniques
- Triangulated surfaces
- Mesh generation
Publication and Content Type
- ref (subject category)
- art (subject category)
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