The numerical solution of elliptic problems using compactly supported wavelets

Winn Elliott Hutchcraft, H.L.A. Harrison, Richard Keith Gordon, J.-F. Lee · 2002

The use of wavelet and wavelet-like basis functions in the finite element analysis of one dimensional problems in which Neumann boundary conditions are specified at both boundaries is presented. Construction of both the wavelet and wavelet-like basis functions is discussed. Results obtained from a finite element algorithm employing the wavelet and wavelet-like basis functions are compared to the analytic solution.

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