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Quasi-interpolation Operators On Parallel Dodecahedrom With High Approximation Orders In Spaces Of Polyharmonic Splines

Posted on:2019-12-13Degree:MasterType:Thesis
Country:ChinaCandidate:J X ZhangFull Text:PDF
GTID:2370330548959082Subject:Computational Mathematics
Abstract/Summary:PDF Full Text Request
The Qusai-interpolation is an important approach of function approximating.Comparing with Interpolation and Least Squares,the Qusai-interpolation doesn't need to solve the linear system,and has a better application in CAGD,PDE and Computational Geometry,etc.In this paper,we base on the approach which Milvia Rossini released in[1]?the approach is using the m harmonic spline to approximate data given on hexagonal lattices in 2 dimension?,we construct the Qusai-interpolation on the parallel dodecahedron in 3 dimension.Then by a procedure which starts from a generator?0?,we obtain the?0?,?1?,...,?m-1?which Qusai-interpolation operators reproducing polynomials up to a higher degree and faster in decay,which the reproducing polynomials are belongs top1,p3,...,p2m-1Finally,we show some numerical experiments,compute and compare the error of ?0?,?1?,?2?.The results show that the operator we construct has a good validity.
Keywords/Search Tags:m harmonic spline, Quasi-interpolation, Parallel dodecahedron
PDF Full Text Request
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