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**An interpolation method for an irregular net of nodes.**
*(English)*
Zbl 0544.65006

Summary: A local interpolation method for an irregular mesh of nodal points is proposed. The method is based on a Taylor expansion of the unknown function combined with the minimization of errors. Some numerical tests as well as a computer program are presented. Applicability and stability of the method are shown. By the appropriate definition of weighting coefficients, this method may be viewed as an interpolation or approximation in the sense of minimum deviation from given values. Applications in finite element and finite difference methods are shown.

### MSC:

65D05 | Numerical interpolation |

41-04 | Software, source code, etc. for problems pertaining to approximations and expansions |

41A05 | Interpolation in approximation theory |

41A63 | Multidimensional problems |

### Keywords:

local interpolation method; irregular mesh of nodal points; Taylor expansion; minimization of errors; numerical tests; stability; finite element; finite difference methods
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\textit{T. Liszka}, Int. J. Numer. Methods Eng. 20, 1599--1612 (1984; Zbl 0544.65006)

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### References:

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