Application of Natural Indexing to Adaptive Multilevel Methods for Linear Triangular Elements
نویسنده
چکیده
Natural indexing is an application-oriented description method for nite element meshes. This work describes how the main parts of an adaptive multilevel method for linear triangular nite element methods can be expressed within the framework of natural indexing. Particular emphasis is on the expression of operations that involve hierarchies of meshes such as adaptive re nement, hierarchic coarsening, and interpolation and restriction operations. Natural indexing is of great bene t here since these operations can be described by simple index arithmetic even in the presence of complex geometries. A second important issue addressed by this paper is the observation that a nite element method can be seen as a succession of mesh construction and computation phases. This point has important consequences for the implementation of nite element methods. Real World Computing Partnership Tsukuba Research Center of RWCP Tsukuba Mitsui Building 1-6-1 Takezono 305-0032 Tsukuba-shi Japan TR 97-010
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