discontinuous Galerkin method
Finite volume - space-time discontinuous Galerkin method for the numerical simulation of compressible turbulent flow in time dependent domains
... space-time discontinuous Galerkin method which is based on piecewise polynomial discontinuous approximation of the sought solution in space and in ...volume method, which is based on ...
8
Analysis and application of the discontinuous Galerkin method to the RLW equation
... In this work, our main purpose is to develop of a sufficiently robust, accurate and efficient numerical scheme for the solution of the regularized long wave (RLW) equation, an important partial differential equation with ...
20
A stabilized mixed discontinuous Galerkin method for the incompressible miscible displacement problem
... stabilized discontinuous Galerkin method is proposed to solve the incompressible miscible displacement ...stabilized, discontinuous Galerkin ...
17
A Parallel Implicit Reconstructed Discontinuous Galerkin Method for Compressible Flows on Hybrid Grids.
... the discontinuous Galerkin temporal dis- cretizations gradually shifted to fully implicit schemes, especially in ...space–time discontinuous Galerkin method for the compressible ...
184
A hybridizable direct discontinuous Galerkin method for elliptic problems
... the discontinuous Galerkin method (DGM) has been extensively studied by lots of researchers on various problems since it was first introduced by Reed and Hill ...element method (FEM), DGM is ...
16
Simulation of the Lock Exchange Hydraulics using the Discontinuous Galerkin Method
... a discontinuous Galerkin finite element ...considered discontinuous Galerkin method is a stable, highly accurate and locally conservative finite element method whose approximate ...
9
A Riemann Solver Free Spacetime Discontinuous Galerkin Method for General Conservation Laws
... spacetime discontinuous Galerkin method devel- oped for general conservation ...The method integrates the best features of the spacetime Conservation Element/Solution Element (CE/SE) ...
20
A high-order hybridizable discontinuous galerkin method for gas kinetic equation
... hybridizable discontinuous Galerkin method is used to find the steady-state solution of the linearized Shakhov kinetic model equations on two- dimensional triangular ...
12
The discontinuous Galerkin method for the numerical simulation of compressible viscous flow
... the discontinuous Galerkin finite el- ement method (DGM), which is based on piecewise poly- nomial discontinuous approximations of the sought solu- tion, became very popular in the field of ...
6
High-order discontinuous Galerkin method for elastohydrodynamic lubrication line contact problems
... order Discontinuous Galerkin method is used to solve steady-state isothermal line contact elastohydrodynamic lubrication ...This method is found to be stable across a wide range of loads and ...
9
A high-order Discontinuous Galerkin method for the seismic wave propagation
... high-order Discontinuous Galerkin ...This method can be viewed as a generalization of the finite volume method developed in [1] and allows the use of unstructured and non-conforming meshes, ...
20
Resolution of the Vlasov-Maxwell system by PIC discontinuous Galerkin method on GPU with OpenCL
... Even in a two-dimensional setup, the system of Vlasov-Maxwell has five variables (two positions, two velocities and the time) and the computations may be heavy. In order to reduce the computation time, we develop a code ...
18
New Immersed Boundary Method on the Adaptive Cartesian Grid Applied to the Local Discontinuous Galerkin Method
... local discontinuous Galerkin method focus on the Cartesian grid with low compu‑ tational efficiency and poor adaptability to complex ...boundary method is presented, and this method ...
10
Regional wave propagation using the discontinuous Galerkin method
... the discontinuous Galerkin method was in- troduced to extend the modeling capabilities to unstructured tetrahedral grids ...DG method for elastodynamic problems to achieve the same ac- curacy ...
15
A new mixed discontinuous Galerkin method for the electrostatic field
... We introduce and analyze a new mixed discontinuous Galerkin method for approximation of an electric field. We carry out its error analysis and prove an error estimate that is optimal in the mesh size. ...
13
A High Order Nodal Discontinuous Galerkin Method for 1D Morphodynamic Modelling
... The solution procedure for equations (8) is complete when a time integration of semi-discrete equations (19) is selected. This stage can be handled by any implicit ordinary differential equations (ODE) solver, since they ...
9
Superconvergence of the local discontinuous Galerkin method for nonlinear convection diffusion problems
... DG method for nonlinear conserva- tion laws is obtained in [], when the upwind fluxes are used, under the condition that the absolute value of the convection term f has a positive low ...LDG method, there ...
20
A discontinuous Galerkin method for solving the fluid and magnetohydrodynamic equations in astrophysical simulations
... FV method described in Springel ...a method distinguishes between smooth substructure and shocks at cell interfaces and may be combined with our DG ...
19
A Reconstructed Discontinuous Galerkin Method for the Compressible Euler Equations on Arbitrary Grids
... FV method to higher orders are accurate and robust but ...DG method to be described below, which can be regarded as a cross between DG and reconstruction finite volume methods, is our attempt to combine the ...
48
Convergence of an implicit runge kutta discontinuous Galerkin method using smooth limiters
... Due to the discontinuous basis functions the trace at the element faces is double valued and therefore a numerical flux is introduced. is flux should depend on the elements which con- stitute the face. e choice of ...
89