ADAPTIVE SPLINE-WAVELET DECOMPOSITIONS OF TWO-DIMENSIONAL NUMERICAL INFORMATION FLOWS

摘要

We consider triangulations of a domain that admit a local enlargement such that the obtained triangulation remains topologically correct. We discuss embedded Courant spaces for embedded triangulations and adaptive spline-wavelet decompositions of these spaces. The decomposition and reconstruction formulas for two-dimensional numerical flows are deduced. Bibliography: 5 titles.