Construction d始un champ continu de m茅triques

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• 作者：Patrick Laug ; Houman Borouchaki
• 刊名：Comptes Rendus Mathematique
• 出版年：August, 2013
• 年：2013
• 卷：351
• 期：15-16
• 页码：639-644
• 全文大小：1055 K

文摘

Adaptive computation using adaptive meshes is now recognized as essential for solving complex PDE problems. This computation requires, at each step, the definition of a continuous metric field to govern the generation of the adapted meshes. In practice, via an appropriate a posteriori error estimation, metrics are calculated at the vertices of the computational domain mesh. In order to obtain a continuous metric field, the discrete field is interpolated in the whole domain mesh. In this Note, a new method for interpolating discrete metric fields, based on a so-called 鈥渘atural decomposition鈥?of metrics, is introduced. The proposed method is based on known matrix decompositions and is computationally robust and efficient. Some qualitative comparisons with classical methods are made to show the relevance of this methodology.