2020/05/17 by M. Kiani, Kiani, M. · 2 citations
Computer Science · Earth and Planetary Sciences · Engineering · Mathematics · #FOS: Mathematics #Geophysics and Gravity Measurements #Geotechnical Engineering and Soil Mechanics #Numerical Analysis (math.NA) #Numerical methods in engineering #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.2005.08207
arxiv created 2020/05/17 · openalex publication_date 2020/05/17 · arxiv updated 2020/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The present paper is focused on the comparison of the efficiency of two important meshless interpolants for gravity acceleration interpolation. Compactly-supported spherical radial basis functions and interpolating moving least squares are used to interpolate actual gravity accelerations in southern Africa. Interpolated values are compared with actual values, gathered by observation. A thorough analysis is presented for the standard deviation of the differences between interpolated and actual values. Three different class of spherical radial basis functions-Poisson, singularity, and logarithmic-and four different type of basis functions for interpolating moving least squares approach-planar, quadratic, cubic, and spherical harmonics-are used. It is shown that in this particular problem compactly-supported spherical radial basis functions are faster and capable of achieving higher accuracies, compared to interpolating moving least squares scheme.