Multilevel Numerical Solutions of Convection-Dominated Diffusion Problems by Spline Wavelets
نویسندگان
چکیده
In this article, we utilize spline wavelets to establish an adaptive multilevel numerical scheme for timedependent convection-dominated diffusion problems within the frameworks of Galerkin formulation and Eulerian-Lagrangian localized adjoint methods (ELLAM). In particular, we shall use linear Chui-Quak semiorthogonal wavelets, which have explicit expressions and compact supports. Therefore, both the diffusion term and boundary conditions in the convection-diffusion problems can be readily handled. Strategies for efficiently implementing the scheme are discussed and numerical results are interpreted from the viewpoint of nonlinear approximation. © 2005Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 22: 000–000, 2006
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