Continuous metrics and mesh adaptation
Applied Numerical Mathematics
Recent progress in robust and quality Delaunay mesh generation
Journal of Computational and Applied Mathematics - Special issue: The international symposium on computing and information (ISCI2004)
Continuous metrics and mesh adaptation
Applied Numerical Mathematics
Continuous Mesh Framework Part I: Well-Posed Continuous Interpolation Error
SIAM Journal on Numerical Analysis
Metric tensors for the interpolation error and its gradient in Lp norm
Journal of Computational Physics
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A new mesh quality measure for triangular and tetrahedral meshes is presented. This mesh quality measure is based on both 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.