Computer Solution of Large Sparse Positive Definite
Computer Solution of Large Sparse Positive Definite
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Mesh Generation: Application to Finite Elements
Mesh Generation: Application to Finite Elements
Quality tetrahedral mesh smoothing via boundary-optimized Delaunay triangulation
Computer Aided Geometric Design
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This paper develops a generalisation of the mesh smoothing direct method proposed by Balendran, to three dimensions by applying its methodology to smoothed hexahedral meshes. A geometric criteria is used where irregular quadrilaterals are converted to regular quadrilaterals on each face of the hexahedron using a local stiffness matrix. This matrix is then converted to a spatial stiffness matrix with reference to absolute coordinates in order to assemble the geometrical stiffness matrix as a global stiffness matrix. The fixing of boundary conditions is analysed and results obtained in a series of hexahedral meshes, used in finite difference method analysis, are illustrated. To evaluate the quality of the obtained results, a degree of uniformity is calculated and a comparative study of the improvement obtained in each zone of the hexahedral mesh is conducted. The proposed method permits the marking out of the portions of mesh in which a Laplacian smoothening fails to improve the mesh quality, therefore, requiring the use of other methods in which inserted mesh points are taken into account.