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MDS: Quadrilateral Meshes and Polygonal Boundary
2017The following mesh limitations are always supposed to be satisfied: the mesh consists of strictly convex quadrilaterals. Every mesh element is a convex quadrilateral and the angle between any two sequential edges is strictly less than π, any inner edge has at most one boundary vertex, boundary vertices have valence 2 (a corner vertex ...
Michel Bercovier, Tanya Matskewich
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Polygonal decompositions of quadrilateral subdivision meshes
2005We study a polygonal decomposition of the 1-ring neighborhood of a quadrilateral mesh. This decomposition corresponds to the eigenvectors of a matrix with circulant blocks, thus, it is suitable for the study of subdivision schemes. First, we calculate the extent of the local mesh area we have to consider in order to get a geometrically meaningful ...
Ivrissimtzis, I. +2 more
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Discrete differential operators on polygonal meshes
ACM Transactions on Graphics, 2020Fernando De Goes, Mathieu Desbrun
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Virtual element methods for parabolic problems on polygonal meshes
Numerical Methods for Partial Differential Equations, 2015Giuseppe Vacca, Lourenco Beirao Da Veiga
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The finite volume scheme preserving extremum principle for diffusion equations on polygonal meshes
Journal of Computational Physics, 2011Guangwei Yuan
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Virtual Element Methods for hyperbolic problems on polygonal meshes
Computers and Mathematics With Applications, 2017Giuseppe Vacca
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Virtual element method for semilinear hyperbolic problems on polygonal meshes
International Journal of Computer Mathematics, 2019Dibyendu Adak +2 more
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