An adaptive multilevel wavelet collocation method for elliptic problems
نویسندگان
چکیده
منابع مشابه
An adaptive multilevel wavelet collocation method for elliptic problems
An adaptive multilevel wavelet collocation method for solving multi-dimensional elliptic problems with localized structures is described. The method is based on multi-dimensional second generation wavelets, and is an extension of the dynamically adaptive second generation wavelet collocation method for evolution problems [Int. J. Comp. Fluid Dyn. 17 (2003) 151]. Wavelet decomposition is used fo...
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A wavelet collocation method for nonlinear Hammerstein equations is formulated. A sparsity in the Jacobian matrix is obtained which gives rise to a fast algorithm for nonlinear solvers such as the Newton’s method and the quasi-Newton method. A fast multilevel augmentation method is developed on a transformed nonlinear equation which gives an additional saving in computational time.
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ژورنال
عنوان ژورنال: Journal of Computational Physics
سال: 2005
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2004.12.013