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A generalized mean value property for polyharmonic functions

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Publication:312188
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DOI10.1007/s11075-015-0090-7zbMath1351.31004OpenAlexW2223878196MaRDI QIDQ312188

Michael S. Floater

Publication date: 14 September 2016

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10852/62349

zbMATH Keywords

polyharmonic functionspolynomial interpolationintegral formulas


Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)


Related Items

On modified Gordon-Wixom interpolation schemes and their applications to nonlinear and exterior domain problems



Cites Work

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  • Representation and uniqueness theorems for polyharmonic functions
  • Bézier and B-spline techniques
  • Note on Polyharmonic Functions
  • Pseudo-Harmonic Interpolation on Convex Domains
  • Integraldarstellung einerm-polyharmonischen Funktion, deren Funktionswerte und erstem-1 Normalableitungen auf einer Hypersphäre gegeben sind
  • Cubic mean value coordinates
  • Generalized barycentric coordinates and applications
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