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Computing bivariate splines in scattered data fitting and the finite-element method

10 years 1 months ago
Computing bivariate splines in scattered data fitting and the finite-element method
A number of useful bivariate spline methods are global in nature, i.e., all of the coefficients of an approximating spline must be computed at one time. Typically this involves solving a system of linear equations. Examples include several well-known methods for fitting scattered data, such as the minimal energy, least-squares, and penalized least-squares methods. Finite-element methods for solving boundary-value problems are also of this type. It is shown here that these types of globally-defined splines can be efficiently computed, provided we work with spline spaces with stable local minimal determining sets.
Larry L. Schumaker
Added 14 Dec 2010
Updated 14 Dec 2010
Type Journal
Year 2008
Where NA
Authors Larry L. Schumaker
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