The Multivariate Spline Method for Scattered Data Fitting and Numerical Solutions of Partial Differential Equations

@inproceedings{Awanou2006TheMS,
  title={The Multivariate Spline Method for Scattered Data Fitting and Numerical Solutions of Partial Differential Equations},
  author={Gerard Awanou and Ming-Jun Lai and Paul Wenston},
  year={2006}
}
Multivariate spline functions are smooth piecewise polynomial functions over triangulations consisting of n-simplices in the Euclidean space IR. A straightforward method for using these spline functions to fit given scattered data and numerically solve elliptic partial differential equations is presented . This method does not require constructing macro-elements or locally supported basis functions nor computing the dimension of the finite element spaces or spline spaces. The method for splines… CONTINUE READING