Analysis of moving least squares approximation revisited
For researchers in approximation theory and numerical methods, this work offers refined error bounds for moving least squares, though it is an incremental extension of existing analysis.
The paper provides error estimation for moving least squares approximation in fractional order Sobolev spaces, extending previous results and clarifying mathematical details. An application to the Galerkin method for PDEs is also presented.
In this article the error estimation of the moving least squares approximation is provided for functions in fractional order Sobolev spaces. The analysis presented in this paper extends the previous estimations and explains some unnoticed mathematical details. An application to Galerkin method for partial differential equations is also supplied.