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A spline interpolation method for solving boundary value problems of potential theory from discretely given data
Author(s) -
Freeden Willi
Publication year - 1987
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/num.1690030104
Subject(s) - mathematics , interpolation (computer graphics) , spline interpolation , boundary value problem , laplace's equation , spline (mechanical) , laplace transform , mathematical analysis , thin plate spline , calculus (dental) , bilinear interpolation , computer science , structural engineering , dentistry , engineering , animation , medicine , statistics , computer graphics (images)
An interpolation procedure using harmonic splines is described and analyzed for solving (exterior) boundary value problems of Laplace's equation in three dimensions (from discretely given data). The theoretical and computational aspects of the method are discussed. Some numerical examples are given.