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Titlebook: Large-Scale Scientific Computing; 5th International Co Ivan Lirkov,Svetozar Margenov,Jerzy Waśniewski Conference proceedings 2006 Springer-

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Parallel Treatment of General Sparse Matricestems of linear algebraic equations. These systems are often very large (up to many millions of equations). Therefore, it is desirable to achieve high performance when such systems (with coefficient matrices the order of which is greater than or equal to one million) are treated on modern high-speed
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Discretization of Integro-Differential Equations Modeling Dynamic Fractional Order Viscoelasticitytion with a weakly singular convolution kernel. We discretize in the spatial variable by a standard Galerkin finite element method. We prove stability and regularity estimates which show how the convolution term introduces dissipation into the equation of motion. These are then used to prove a prior
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A Multiscale Discontinuous Galerkin Methodn of the discontinuous finite element space into continuous (coarse) and discontinuous (fine) components. Variational multiscale analysis is used to define an interscale transfer operator that associates coarse and fine scale functions. Composition of this operator with a donor DG method yields a ne
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On the Discontinuous Galerkin Method for Friedrichs Systems in Graph Spaces operator. We state a setting in which the well-posedness of Friedrichs systems on polyhedral domains is ensured, while still allowing changes in the inertial type of the boundary. In this framework the discontinuous Galerkin method converges in the energy norm under .- and .-refinement to the exact
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,-Matrix Techniques for Stray-Field Computations in Computational Micromagnetics. solves the magnetostatic Maxwell equations in the entire space. For a given FE magnetization .., the naive computation of . via a closed formula typically leads to dense matrices and quadratic complexity with respect to the number . of elements. To reduce the computational cost, it is proposed to
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