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In this paper, we investigate the spectral properties of condensed matrices in mixed hybrid discretizations of the Neumann boundary value problem for the Poisson equation on distorted meshes. We also consider a new approach to the construction of spectrally equivalent preconditioners to the...
The paper is concerned with a posteriori error estimation in terms of special problem-oriented quantities. In many practically interesting cases, such a quantity is represented as a linear functional that controls the behavior of a solution in certain subdomains, along some lines, or at...
We study error estimates for a finite volume discretization of an elliptic equation. We prove that, for s ∈ 0, 1, if the exact solution belongs to H 1+ s and the right-hand side is ƒ +div( G ) with ƒ ∈ L 2 and G ∈ ( H s ) N , then the solution of the finite volume scheme converges in...
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