Now showing items 1-6 of 6
On the Coupling of Finite Volume and Discontinuous Galerkin Method for Elliptic Problems
The coupling of cell-centered finite volume method with primal discontinuous Galerkin method is introduced in this paper for elliptic problems. Convergence of the method with respect to the mesh size is proved. Numerical ...
Penalty-Free Discontinuous Galerkin Methods for Incompressible Navier-Stokes Equations
A first-order discontinuous Galerkin method is proposed for solving the steady-state incompressible Navier-Stokes equations. The stability of this penalty-free method is obtained by locally enriching the discrete space ...
A Two-grid Method for Coupled Free Flow with Porous Media Flow
This paper presents a two-grid method for solving systems of partial differential equations modelling free flow coupled with porous media flow. This work considers both the coupled Stokes and Darcy as well as the coupled ...
On the Constants in Inverse Inequalities in L2
In this paper we determine the constants in multivariate Markov inequalities in the L2-norm on an interval, a triangle and a tetrahedron. Using orthonormal polynomials, we derive explicit expression for the constants on ...
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 ...