Biorthogonal wavelet-based multigrid method for the numerical solution of elliptic partial differential equations

摘要

Wavelets have generated significant interest from both theoretical and applied researchers over the last few decades. We proposed biorthogonal wavelet-based multigrid method for the numerical solution of elliptic partial differential equations. The performance of the proposed scheme is better than the existing ones in terms of superconvergence with low computational time. Some of the illustrative examples demonstrate the applicability of the method.