Geodesic
Hierarchical basis in $H^{div}$ space for a mixed finite element formulation of the Darcy problem
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1741-1765.

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A mixed variational formulation based on a discontinuous Galerkin method for solving the Darcy problem with a tensor permeability coefficient is considered. Two special hierarchical basis systems in $H^{div}$ space for velocity and in $H^1$ space for pressure are constructed. The influence of these basis on the properties of the matrix of the discrete analogue is investigated.
Keywords: mixed variational formulation, discontinuous Galerkin method, Darcy problem, algebraic multilevel method. 
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     title = {Hierarchical basis in $H^{div}$ space for a mixed finite element formulation of the {Darcy} problem},
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S. A. Trofimova; N. B. Itkina; È. P. Shurina. Hierarchical basis in $H^{div}$ space for a mixed finite element formulation of the Darcy problem. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 17 (2020), pp. 1741-1765. http://geodesic.mathdoc.fr/item/SEMR_2020_17_a122/

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