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Titlebook: Numerical Mathematics and AdvancedApplications - ENUMATH 2013; Proceedings of ENUMA Assyr Abdulle,Simone Deparis,Marco Picasso Conference p

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Robust Local Flux Reconstruction for Various Finite Element Methods finite elements of arbitrary order. We start from a hybrid formulation which covers all considered methods and whose Lagrange multipliers approximate the normal fluxes. It turns out that the multipliers can be computed locally and are next used to define local corrections of the flux. We also show
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Harmonic Complete Flux Schemes for Conservation Laws with Discontinuous Coefficients of equations. For the flux approximations in the latter case, we take into account the coupling between the constituent equations. We study conservation laws with discontinuous diffusion matrix/coefficient and show that the (matrix) harmonic average should be employed in the expressions for the num
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Analysis of Space-Time DGFEM for the Solution of Nonstationary Nonlinear Convection-Diffusion Problefusion problems. In the formulation of the numerical scheme, the nonsymmetric, symmetric and incomplete versions of the discretization of diffusion terms and interior and boundary penalty are used. Then error estimates derived under a sufficient regularity of the exact solution are briefly character
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Space-Time Discontinuous Galerkin Method for the Problem of Linear Elasticity application of the discontinuous Galerkin (DG) method in space. In the formulation of the numerical scheme, the nonsymmetric, symmetric and incomplete versions of the discretization of the elasticity term and the interior and boundary penalty are used. The DG space discretization is combined with t
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Semi-discrete Time-Dependent Fourth-Order Problems on an Interval: Error Estimatelems. Given a mesh size ., we show that the truncation error is .(..) at interior points and .(.) at near-boundary points. In addition, the convergence of these schemes is analyzed. Although the truncation error is only of first-order at near-boundary points, we have proved that the error of these s
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A Numerical Algorithm for a Fully Nonlinear PDE Involving the Jacobian Determinant space. The problem consists in finding a vector-valued function such that the determinant of its gradient is given point-wise in a bounded domain, together with essential boundary conditions. The proposed numerical algorithm relies on an augmented Lagrangian algorithm with biharmonic regularization
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