AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENT

AN APPROACH TO INTERPOLATION OF UNKNOWN FUNCTIONS IN THE PROBLEMS OF CALCULATION MESH QUALITY IMPROVEMENT

The paper presents an approach to solving the task of calculating the value of some function in a set point basing on its values set on some fixed system of points. The approach is based on the use of interpolation functions of Sibson’s and Laplace’s shape-functions. The properties of both functions...

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Veröffentlicht in:Вестник Кемеровского государственного университета 2014-11 (4-1), p.57-66
Hauptverfasser: T. S. Reyn, S. N. Karabtsev
Format: Artikel
Sprache:eng
Schlagworte:
laplace interpolation
mesh refinement
mesh-free methods
numerical simulation
shape function
sibsonian interpolation
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Zusammenfassung:The paper presents an approach to solving the task of calculating the value of some function in a set point basing on its values set on some fixed system of points. The approach is based on the use of interpolation functions of Sibson’s and Laplace’s shape-functions. The properties of both functions are considered, the interpolation accuracy is defined by solving a Poisson equation with the method of trial functions.
ISSN:2078-8975
2078-8983