|Subject Domain (in DDC)||Computer science, information & general works ♦ Data processing & computer science|
|Subject Keyword||Tetrahedral Element ♦ Solution Information ♦ Mesh Quality Measure ♦ Tetrahedral Mesh ♦ Tetrahedral Mesh Quality ♦ Mesh Quality ♦ Geometrical Indicator ♦ Linear Triangular ♦ New Mesh Quality Measure ♦ Local Solution Information ♦ Scaled Derivative ♦ Unstructured Mesh ♦ Quadratic Function ♦ Solution-based Mesh Quality ♦ New Measure ♦ Error Information|
|Description||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 local solution information in the form of scaled derivatives along edges is taken into account. This advantage is demonstrated by a comparison with a geometrical indicator on a parameterized problem. keywords. Unstructured meshes, tetrahedral mesh quality, l 2 error information.|
|Educational Role||Student ♦ Teacher|
|Age Range||above 22 year|
|Education Level||UG and PG ♦ Career/Technical Study|
|Learning Resource Type||Article|
|Publisher Institution||Proceedings of the Sixth International Meshing Roundtable, Sandia National Laboratories|
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