Addressing Integration Error for Polygonal Finite Elements Through Polynomial Projections: A Patch Test Connection [PDF]
, 2013 Polygonal finite elements generally do not pass the patch test as a result of quadrature error in the evaluation of weak form integrals. In this work, we examine the consequences of lack of polynomial consistency and show that it can lead to a ...
Paulino, Glaucio H., Talischi, Cameron
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Compressing the property mapping of polygon meshes [PDF]
Proceedings Ninth Pacific Conference on Computer Graphics and Applications. Pacific Graphics 2001, 2002 Summary: Many polygon meshes have properties such as shading normals, colors, texture coordinates, or material attributes that are associated with the vertices, faces, or corners of the mesh. While current research in mesh compression has focused on connectivity and geometry coding, the compression of properties has received less attention.
Isenburg, Martin, Snoeyink, Jack
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Euclidean Distance Distortion Based Robust and Blind Mesh Watermarking
International Journal of Interactive Multimedia and Artificial Intelligence, 2016 The three-dimensional (3D) polygonal meshes are recently widely used in several domains, which necessitate the realistic visualization of the objects.
Yesmine Ben Amar +3 more
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On the Virtual Element Method for Topology Optimization on polygonal meshes: a numerical study [PDF]
, 2016 It is well known that the solution of topology optimization problems may be affected both by the geometric properties of the computational mesh, which can steer the minimization process towards local (and non-physical) minima, and by the accuracy of the ...
Antonietti, Paola F. +3 more
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Anisotropic mesh quality measures and adaptation for polygonal meshes [PDF]
Journal of Computational Physics, 2020 Anisotropic mesh quality measures and anisotropic mesh adaptation are studied for polygonal meshes. Three sets of alignment and equidistribution measures are developed, one based on least squares fitting, one based on generalized barycentric mapping, and the other based on singular value decomposition of edge matrices.
Weizhang Huang, Yanqiu Wang
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Tsallis Entropy for Geometry Simplification
Entropy, 2011 This paper presents a study and a comparison of the use of different information-theoretic measures for polygonal mesh simplification. Generalized measures from Information Theory such as Havrda–Charvát–Tsallis entropy and mutual information have been ...
Miguel Chover +4 more
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Accurate and efficient surface reconstruction from volume fraction data on general meshes [PDF]
, 2019 Simulations involving free surfaces and fluid interfaces are important in many areas of engineering. There is, however, still a need for improved simulation methods. Recently, a new efficient geometric VOF method called isoAdvector for general polyhedral
Roenby, Johan, Scheufler, Henning
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Approximating uniform triangular meshes in polygons
Theoretical Computer Science, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aurenhammer, F +4 more
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Construction of Supplemental Functions for Direct Serendipity and Mixed Finite Elements on Polygons
Mathematics, 2023 New families of direct serendipity and direct mixed finite elements on general planar, strictly convex polygons were recently defined by the authors. The finite elements of index r are H1 and H(div) conforming, respectively, and approximate optimally to ...
Todd Arbogast, Chuning Wang
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Virtual Elements for the Navier-Stokes problem on polygonal meshes [PDF]
, 2017 A family of Virtual Element Methods for the 2D Navier-Stokes equations is proposed and analysed. The schemes provide a discrete velocity field which is point-wise divergence-free.
da Veiga, L. Beirão +2 more
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