A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data

A Domain Decomposition Method for Computing Bivariate Spline Fits of Scattered Data

A domain decomposition method for solving large bivariate scattered data fitting problems with bivariate minimal energy, discrete least-squares, and penalized least-squares splines is described. The method is based on splitting the domain into smaller domains, solving the associated smaller fitting problems, and combining the coefficients to get a global fit. Explicit error bounds are establish...

Bivariate Spline Method for Navier-Stokes Equations: Domain Decomposition Technique

On Schwarz's domain decomposition methods for elliptic boundary value problems, submitted for publication, 1996. 6. M. J. Lai and P. Wenston, Bivariate spline method for numerical solution of steady state Navier-Stokes equations over polygons in stream function formulation, submitted, 1997. Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in

Bivariate Spline Method for

Output-only Modal Analysis of a Beam Via Frequency Domain Decomposition Method Using Noisy Data

The output data from a structure is the building block for output-only modal analysis. The structure response in the output data, however, is usually contaminated with noise. Naturally, the success of output-only methods in determining the modal parameters of a structure depends on noise level. In this paper, the possibility and accuracy of identifying the modal parameters of a simply supported...

Adaptive Thinning for Bivariate Scattered Data

This paper studies adaptive thinning strategies for approximating a large set of scattered data by piecewise linear functions over triangulated subsets. Our strategies depend on both the locations of the data points in the plane, and the values of the sampled function at these points — adaptive thinning. All our thinning strategies remove data points one by one, so as to minimize an estimate of...