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A convergence theory of multilevel additive Schwarz methods on unstructured meshesby: Tony F. Chan, Jun Zou
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Abstractframework of convergence analysis for additive preconditioners This section is devoted to the abstract framework of convergence analysis for two and multilevel additive preconditioners. 2.1 Additive preconditioners for symmetric positive definite operators Let V , and V k , 0 k p be finite dimensional vector spaces with inner products (Δ; Δ) and (Δ; Δ) k , resp. All spaces V k are not necessarily subspaces of V . The space V 0 is special, T. Chan and J. Zou /...
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