Search Results - subject:"Discontinuous Galerkin finite element method"

hp-DGFEM for nonlinear convection-diffusion problems

Dolejší, Vít - In: Mathematics and Computers in Simulation (MATCOM) 87 (2013) C, pp. 87-118

finite element method (DGFEM). We propose a new hp-adaptation technique, which is based on a combination of a residuum …We deal with a numerical solution of nonlinear convection-diffusion problems with the aid of the discontinuous Galerkin …

Persistent link: https://www.econbiz.de/10011050689

Numerical integration in the DGFEM for nonlinear convection-diffusion problems

Sobotíková, Veronika; Feistauer, Miloslav - In: Mathematics and Computers in Simulation (MATCOM) 76 (2007) 1, pp. 193-197

The effect of numerical integration in the DGFEM for nonlinear convection-diffusion problems in 2D is studied. The volume and line integrals in the space semidiscretization are evaluated by numerical quadratures. The main goal is to estimate the error caused by the numerical integration and to...

Persistent link: https://www.econbiz.de/10011050537

On some aspects of the discontinuous Galerkin finite element method for conservation laws

Dolejší, Vít; Feistauer, Miloslav; Schwab, Christoph - In: Mathematics and Computers in Simulation (MATCOM) 61 (2003) 3, pp. 333-346

The paper is concerned with the numerical solution of nonlinear conservation laws and nonlinear convection–diffusion problems. We discuss two versions of this method: (a) Finite volume discontinuous Galerkin (FVDG) method, which is a generalization of the combined finite volume–finite...

Persistent link: https://www.econbiz.de/10011051096

The discontinuous finite element method for red-and-green light models for the traffic flow

Liu, Ru-Xun; Li, Hong; Wang, Zhi-Feng - In: Mathematics and Computers in Simulation (MATCOM) 56 (2001) 1, pp. 55-67

discontinuous solutions of the red-and-green light models are discussed. The discontinuous Galerkin finite element method is used to …

Persistent link: https://www.econbiz.de/10010870554