The use of Richardson extrapolation in the finite element solution of partial differential equations using wavelet-like basis functions

The use of wavelet-like basis functions in the finite element solution of partial differential equations is discussed. Once these solutions are obtained, Richardson extrapolation is employed in order to reduce the numerical error. Both construction of the wavelet-like basis functions and implementation of Richardson extrapolation are presented. For comparison, results obtained from a finite element algorithm using traditional basis functions are also presented.