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• W2995257468 abstract "In the present paper, we consider multigrid strategies for the resolution of linear systems arising from the Q k Finite Elements approximation of one- and higher-dimensional elliptic partial differential equations with Dirichlet boundary conditions and where the operator is div − a ( x ) ∇ · , with a continuous and positive over Ω ¯ , Ω being an open and bounded subset of R 2 . While the analysis is performed in one dimension, the numerics are carried out also in higher dimension d ≥ 2 , showing an optimal behavior in terms of the dependency on the matrix size and a substantial robustness with respect to the dimensionality d and to the polynomial degree k." @default.
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• W2995257468 date "2019-12-18" @default.
• W2995257468 modified "2023-09-27" @default.
• W2995257468 title "Multigrid for Q k Finite Element Matrices Using a (Block) Toeplitz Symbol Approach" @default.
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• W2995257468 doi "https://doi.org/10.3390/math8010005" @default.
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