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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...
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...
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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