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Titlebook: Large-Scale Scientific Computing; 7th International Co Ivan Lirkov,Svetozar Margenov,Jerzy Waśniewski Conference proceedings 2010 Springer-

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An Efficiency-Based Adaptive Refinement Scheme Applied to Incompressible, Resistive Magnetohydrodynamount of cost is obtained, when solving on the refined grid. We show that these methods, applied to the simulation of a tokamak fusion reactor instability, yield approximations to solutions within discretization accuracy using less than the equivalent amount of work needed to perform 10 residual calculations on the finest uniform grid.
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On Finite Element Error Estimates for Optimal Control Problems with Elliptic PDEsl and the associated optimal control of the discretized problem. As a particular example, an error estimate for a nonlinear optimal control problem with finitely many control values and state constraints in finitely many points of the spatial domain is derived.
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Multilevel Preconditioning of Crouzeix-Raviart 3D Pure Displacement Elasticity Problemsving linear systems obtained from locking-free discretization of 3D pure displacement elasticity problems. The presented numerical results illustrate the robustness of the method for nearly incompressible materials.
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A Scalable TFETI Based Algorithm for 2D and 3D Frictionless Contact Problems the theoretical results are qualitatively the same as the classical results on scalability of FETI for the linear elliptic problems. The efficiency of the method is demonstrated by the results of numerical experiments with parallel solution of both coercive and semicoercive 2D and 3D contact problems.
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Numerical Simulation of Fluid-Structure Interaction Problems on Hybrid Meshes with Algebraic Multigrdecoupled linear subproblems in the structural and the fluid domains. These subproblems are spatially discretized by a finite element method on hybrid meshes. For the time discretization implicit first-order methods are used for both subproblems. The discretized equations are solved by algebraic multigrid methods.
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Boundary Element Simulation of Linear Water Waves in a Model Basine Galerkin BEM for the approximate evaluation of the Dirichlet-to-Neumann map. To solve the resulting large, dense linear system, we use a data-sparse matrix approximation method based on hierarchical matrix representations. The proposed algorithm is quasi-optimal. Finally, some numerical results are given.
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