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Proceedings of the 20th International Meshing Roundtable
For a given function, we consider a problem of minimizing the P 1 interpolation error on a set of triangulations with a fixed number of triangles. The minimization problem is reformulated as a problem of generating a mesh which is quasi-uniform in a specially designed metric. For functions with indefinite Hessian, we show existence of a family of metrics with highly diverse properties. The family may include both anisotropic and isotropic metrics. A developed theory is verified with numericaldoi:10.1007/978-3-642-24734-7_17 dblp:conf/imr/AgouzalLV11 fatcat:hjv6zldkhfcwhigwkrgtfosc54