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Comparison of Reduced Models for Blood Flow Using Runge–Kutta Discontinuous Galerkin Methods
Reduced, or one–dimensional blood flow models take the general form of nonlinear hyperbolic systems, but differ greatly in their formulation. One class of models considers the physically conserved quantities of mass and ...
Strong Convergence of Discrete DG Solutions of the Heat Equation
A convergence analysis to the weak solution is derived for interior penalty discontinuous Galerkin methods applied to the heat equation in two and three dimensions under general mixed boundary conditions. Strong convergence ...