Difference formulas for the surface Laplacian on a triangulated surface

DOI10.1016/0021-9991(91)90286-TzbMath0731.65012MaRDI QIDQ808155

Geertjan Huiskamp

Publication date: 1991

Published in: Journal of Computational Physics (Search for Journal in Brave)

zbMATH Keywords

numerical differentiationdifference formulastriangulated surfaceNumerical resultssurface Laplacian operatortriangulation grid

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical differentiation (65D25)

Related Items (4)

Shock capturing, level sets, and PDE based methods in computer vision and image processing: A review of Osher's contributions ⋮ An iterative linearized optimization technique for non‐linear ill‐posed problems applied to cardiac activation time imaging ⋮ Variational problems and partial differential equations on implicit surfaces ⋮ Pseudo‐Spectral Methods for the Laplace‐Beltrami Equation and the Hodge Decomposition on Surfaces of Genus One

Cites Work

• Unnamed Item
• Unnamed Item
• Interpolation on a triangulated 3D surface
• Interpolation of data on the surface of a sphere
• Scattered Data Interpolation: Tests of Some Method
• Extensions and Applications of the Householder Algorithm for Solving Linear Least Squares Problems

This page was built for publication: Difference formulas for the surface Laplacian on a triangulated surface