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Engineering with Computers
Erschienen in: Engineering with Computers 3/2017

02.09.2016 | Original Article

Inverse Cauchy problem of annulus domains in the framework of spectral meshless radial point interpolation

verfasst von: Elyas Shivanian, Ahmad Jafarabadi

Erschienen in: Engineering with Computers | Ausgabe 3/2017

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Abstract

In this paper, the spectral meshless radial point interpolation (SMRPI) technique is applied to the Cauchy problems of two-dimensional elliptic PDEs in annulus domains. Unknown data on the inner boundary are obtained while overspecified boundary data are imposed on the outer boundary using the SMRPI. The SMRPI employs monomials and radial basis functions (RBFs) through interpolation and applies them locally with the help of spectral collocation ideas. In this way, localization in SMRPI can reduce the ill-conditioning for Cauchy problem. Furthermore, we improve previous results and overcome the ill-conditioning of Cauchy problem. It is revealed the SMRPI is more accurate and stable by adding strong perturbations.
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Metadaten
Titel
Inverse Cauchy problem of annulus domains in the framework of spectral meshless radial point interpolation
verfasst von
Elyas Shivanian
Ahmad Jafarabadi
Publikationsdatum
02.09.2016
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 3/2017
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-016-0482-x

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