Constrained Hermite Interpolation for Mesh-Free Derivative Estimation Near and On Boundaries

Robert A. McDonald, Alejandro Ramos
2011 AIAA Journal  
A Taylor Series Least Squares approach to estimating derivatives on scattered data is extended to include derivative observation or specification. This approach allows improved estimation of derivatives near boundaries as compared to the standard ghost node approach. It also enables a unique method of estimating derivatives in a surface using only surface data.
doi:10.2514/1.j051042 fatcat:crfxgsdvprgablvjalc3z7nowm