Add to ORKGAbstract: A new variational entropic regularization principle is formulated for a discontinuous Galerkin (DG) method. An entropy stable DG method of high accuracy is constructed for 1D equations of gas dynamics. The DG solutions satisfy the discrete analogues of the conservation laws of mass, momentum, total energy and entropic inequality. Formulas for the coefficients of the DG method are obtained.Note: Research direction:Mathematical problems and theory of numerical method
Abstract. We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservat...
An entropy dissipative spatial discretization has recently been constructed for the multidimensional...
A method to numerically solve the Euler equations for fluids with general equations of state is pres...
Abstract: A new variational principle for deriving the discontinuous Galerkin method modif...
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to ap...
We consider the discontinuous Galerkin (DG) finite element discretization of first order systems of ...
High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a dis...
In this work we analyze the entropic properties of the Euler equations when the system is closed wit...
An entropy-bounded Discontinuous Galerkin (EBDG) scheme is proposed in which the solution is regular...
Many numerical methods for fluid dynamics are suitable only for a single, idealized type of fluid. M...
This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for ...
We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservation laws. ...
We propose, analyse and demonstrate a discontinuous Galerkin method for fractal conservation laws. V...
For the general class of residual distribution (RD) schemes, including many finite element (such as ...
Abstract. Local Discontinuous Galerkin (LDG) schemes in the sense of [5] are a flex-ible numerical t...
Abstract. We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservat...
An entropy dissipative spatial discretization has recently been constructed for the multidimensional...
A method to numerically solve the Euler equations for fluids with general equations of state is pres...
Abstract: A new variational principle for deriving the discontinuous Galerkin method modif...
We present a streamline diffusion shock capturing spacetime discontinuous Galerkin (DG) method to ap...
We consider the discontinuous Galerkin (DG) finite element discretization of first order systems of ...
High order methods based on diagonal-norm summation by parts operators can be shown to satisfy a dis...
In this work we analyze the entropic properties of the Euler equations when the system is closed wit...
An entropy-bounded Discontinuous Galerkin (EBDG) scheme is proposed in which the solution is regular...
Many numerical methods for fluid dynamics are suitable only for a single, idealized type of fluid. M...
This work presents an entropy stable discontinuous Galerkin (DG) spectral element approximation for ...
We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservation laws. ...
We propose, analyse and demonstrate a discontinuous Galerkin method for fractal conservation laws. V...
For the general class of residual distribution (RD) schemes, including many finite element (such as ...
Abstract. Local Discontinuous Galerkin (LDG) schemes in the sense of [5] are a flex-ible numerical t...
Abstract. We propose, analyze, and demonstrate a discontinuous Galerkin method for fractal conservat...
An entropy dissipative spatial discretization has recently been constructed for the multidimensional...
A method to numerically solve the Euler equations for fluids with general equations of state is pres...