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Z.-L. Pei, L.-Y. Fu, G.-X. Yu and L.-X. Zhang, “A Wavelet-Optimized Adaptive Grid Method for Finite-Difference Simulation of Wave Propagation,” Bulletin of the Seismological Society of America, Vol. 99, No. 1, 2009, pp. 302-313. doi:10.1785/0120080002

has been cited by the following article:

• TITLE: Wavelet Optimized Adaptive Mesh for MHD Flow Problems

  AUTHORS: Bani Singh, Anuj Bhardwaj, Rashid Ali

  KEYWORDS: MHD Flow; Interpolating Wavelet; Adaptive Mesh

  JOURNAL NAME: Applied Mathematics, Vol.3 No.2, February 23, 2012

  ABSTRACT: There are many problems in science and engineering where the solution shows a boundary layer character. Near the boundary the gradient is large in contrast with the smooth behaviour in the central core. A uniform grid is, therefore, not suitable for a numerical solution. MHD flow problems belong to this category where a velocity and induced magnetic field profiles get flattened in a transverse flow. In the present paper an optimized grid has been generated using interpo-lating wavelets. The results are compared with those obtained using uniform grid, the finite element method and also from the analytical solution.