Quality encoding for tetrahedral mesh optimization
نویسندگان
چکیده
منابع مشابه
Quality encoding for tetrahedral mesh optimization
We define quality differential coordinates (QDC) for per-vertex encoding of the quality of a tetrahedral mesh. QDC measures the deviation of a mesh vertex from a position which maximizes the combined quality of the set of tetrahedra incident at that vertex. Our formulation allows the incorporation of different choices of element quality metrics into QDC construction to penalize badly shaped and...
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Discretization methods, such as the finite element method, are commonly used in the solution of partial differential equations (PDEs). The accuracy of the computed solution to the PDE depends on the degree of the approximation scheme, the number of elements in the mesh [1], and the quality of the mesh [2, 3]. More specifically, it is known that as the element dihedral angles become too large, t...
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The goal of this paper is to help evaluate the tetrahedral mesh generation, adaptation and optimization algorithms. To achieve this goal, benchmarks are proposed consisting of simple and complete geometries. In order to evaluate the quality of the meshes, the concept of tetrahedron shape measure is clarified and used. Finally, as an example, these benchmarks are used to evaluate meshes optimize...
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A new mesh quality measure for triangular and tetrahedral meshes is presented. This mesh quality measure is based both on geometrical and solution information and is derived by considering the error when linear triangular and tetrahedral elements are used to approximate a quadratic function. The new measure is shown to be related to existing measures of mesh quality but with the advantage that ...
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A new mesh quality measure for triangular and tetrahedral meshes is presented. This mesh quality measure is based both on geometrical and solution information and is derived by considering the error when linear triangular and tetrahedral elements are used to approximate a quadratic function. The new measure is shown to be related to existing measures of mesh quality but with the advantage that ...
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ژورنال
عنوان ژورنال: Computers & Graphics
سال: 2009
ISSN: 0097-8493
DOI: 10.1016/j.cag.2009.03.020