Add to ORKGABSTRACT. In this paper, we consider discontinuous Galerkin finite element methods with interior penalty term to approximate the solution of nonlinear parabolic problems with mixed boundary conditions. We construct the finite element spaces of the piecewise polynomials on which we define fully discrete discontinuous Galerkin approximations using the Crank-Nicolson method. To analyze the error estimates, we construct an appropriate projection which allows us to obtain the optimal order of a priori ℓ1(L2) error estimates of discontinuous Galerkin approximations in both spatial and temporal directions. 1
Standard discontinuous Galerkin methods, based on piecewise polynomials of degree q=0,1, are conside...
Abstract. We develop the convergence analysis of discontinuous Galerkin finite element approx-imatio...
In part 1 of this lecture we recall well-known results from the numerical analysis of the continuou...
In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem ...
In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem ...
In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem ...
In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem ...
summary:We introduce and study various discontinuous Galerkin (DG) finite element approximations for...
AbstractWe consider the nonlinear parabolic partial differential equations. We construct a discontin...
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Gal...
We consider the hp-version discontinuous Galerkin finite element method (hp-DGFEM) with interior pen...
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) ...
. A new nonlinear Galerkin method based on finite element discretization is presented in this paper ...
Standard discontinuous Galerkin methods, based on piecewise polynomials of degree q=0,1, are conside...
We study space–time finite element methods for semilinear parabolic problems in (1 + d)–dimensions f...
Standard discontinuous Galerkin methods, based on piecewise polynomials of degree q=0,1, are conside...
Abstract. We develop the convergence analysis of discontinuous Galerkin finite element approx-imatio...
In part 1 of this lecture we recall well-known results from the numerical analysis of the continuou...
In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem ...
In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem ...
In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem ...
In this paper we propose and analyze a Discontinuous Galerkin method for a linear parabolic problem ...
summary:We introduce and study various discontinuous Galerkin (DG) finite element approximations for...
AbstractWe consider the nonlinear parabolic partial differential equations. We construct a discontin...
We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Gal...
We consider the hp-version discontinuous Galerkin finite element method (hp-DGFEM) with interior pen...
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) ...
. A new nonlinear Galerkin method based on finite element discretization is presented in this paper ...
Standard discontinuous Galerkin methods, based on piecewise polynomials of degree q=0,1, are conside...
We study space–time finite element methods for semilinear parabolic problems in (1 + d)–dimensions f...
Standard discontinuous Galerkin methods, based on piecewise polynomials of degree q=0,1, are conside...
Abstract. We develop the convergence analysis of discontinuous Galerkin finite element approx-imatio...
In part 1 of this lecture we recall well-known results from the numerical analysis of the continuou...