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Tensor product type subspace splittings and multilevel iterative methods for anisotropic problems. (English) Zbl 0826.65099
The paper provides a thorough theoretical background for tensor-product multigrid methods. Application is made to the traditional nodal multigrid methods and to prewavelet methods, with emphasis on their applicability to anisotropic elliptic equations. Numerical examples are presented for several such schemes as applied to a strongly anisotropic reduced wave equation.

65N55 Multigrid methods; domain decomposition for boundary value problems involving PDEs
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
35J05 Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation
Full Text: DOI
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