Victor Korneev

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The main obstacle for obtaining fast domain decomposition solvers for the spectral element discretizations of the 2-nd order elliptic equations was the lack of fast solvers for local internal problems on subdomains of decomposition and their faces. As was recently shown by Korneev/Rytov, such solvers can be derived on the basis of the specific interrelation(More)
In this paper, we advocate the ”classical” approach to the a posteriori error estimation, which for the theory elasticity problems stems from the Lagrange and Castigliano variational principles. In it, the energy of the error of an approximate solution, satisfying geometrical restrictions, is estimated by the energy of the difference of the stress tensor(More)