Results 61 to 70 of about 102,481 (112)
Discontinuous Galerkin Methods for the Vlasov–Stokes System
Computational Methods in Applied MathematicsAbstract This paper develops and analyses a semi-discrete numerical method for the two-dimensional Vlasov–Stokes system with periodic boundary condition. The method is based on the coupling of the semi-discrete discontinuous Galerkin method for the Vlasov equation with discontinuous Galerkin scheme for the stationary incompressible ...
Harsha Hutridurga +2 more
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Discontinuous Galerkin Methods for 3D–1D Systems
SIAM Journal on Numerical AnalysisWe propose and analyze discontinuous Galerkin (dG) approximations to 3D-1D coupled systems which model diffusion in a 3D domain containing a small inclusion reduced to its 1D centerline. Convergence to weak solutions of a steady state problem is established via deriving a posteriori error estimates and bounds on residuals defined with suitable lift ...
Rami Masri +2 more
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Hybridized discontinuous Galerkin method with lifting operator
JSIAM Letters, 2010 In this paper, we propose a new hybridized discontinuous Galerkin method for the Poisson equation with homogeneous Dirichlet boundary condition. Our method has the advantage that the stability is better than the previous hybridized method. We derive $L^2$ and $H^1$ error estimates of optimal order.
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hp-Version Discontinuous Galerkin Methods on Polygonal and Polyhedral Meshes
, 2017 A. Cangiani, E. Georgoulis, P. Houston
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Bridging the hybrid high-order and hybridizable discontinuous Galerkin methods
, 2016 Bernardo Cockburn, D. A. Pietro, A. Ern
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A new troubled-cell indicator for discontinuous Galerkin methods for hyperbolic conservation laws
Journal of Computational Physics, 2017 Guosheng Fu, Chi-Wang Shu
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