This paper presents for the first time the derivation of an hp a posteriori error estimator for the symmetric interior penalty discontinuous Galerkin finite element method for linear elastic analysis. Any combination of Neumann and Dirichlet boundary conditions are admissible in the formulation, including applying Neumann and Dirichlet on different components on the same region of the boundary. Therefore, the error estimator is applicable to a variety of physical problems. The error estimator is incorporated into an hp-adaptive finite element solver and verified against smooth and non-smooth problems with closedform analytical solutions, as well as, being demonstrated on a non-smooth problem with complex boundary conditions. The hp-...
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) ...
We develop the a posteriori error analysis of the hp-version of the discontinuous Galerkin finite el...
A unified a posteriori error analysis is derived in extension of Carstensen (Numer Math 100:617–637,...
In this paper we present a residual-based a posteriori error estimator for hp-adaptive discontinuous...
We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin fin...
We introduce a residual-based a posteriori error indicator for discontinuous Galerkin discretization...
We develop the energy norm a posteriori error estimation for hp-version discontinuous Galerkin (DG) ...
In this paper we present two different kinds of error estimators for acoustic problems: a residual-b...
In this paper we develop the a posteriori error estimation of hp-version discontinuous Galerkin comp...
In this paper we present a residual-based {\em a posteriori} error estimator for $hp$-adaptive disco...
Interior Penalty Discontinuous Galerkin (IPDG) methods for second order elliptic boundary value prob...
In this paper we develop the a posteriori error analysis of the hp-version of the discontinuous Gale...
We prove an a-posteriori error estimate for an \(hp\)-adaptive discontinuous Galerkin method for the...
This paper presents an hp-adaptive discontinuous Galerkin method for linear hyperbolic conservation ...
In this paper we present two different kinds of error estimators for acoustic problems: a residual-b...
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) ...
We develop the a posteriori error analysis of the hp-version of the discontinuous Galerkin finite el...
A unified a posteriori error analysis is derived in extension of Carstensen (Numer Math 100:617–637,...
In this paper we present a residual-based a posteriori error estimator for hp-adaptive discontinuous...
We develop the a-posteriori error analysis of hp-version interior-penalty discontinuous Galerkin fin...
We introduce a residual-based a posteriori error indicator for discontinuous Galerkin discretization...
We develop the energy norm a posteriori error estimation for hp-version discontinuous Galerkin (DG) ...
In this paper we present two different kinds of error estimators for acoustic problems: a residual-b...
In this paper we develop the a posteriori error estimation of hp-version discontinuous Galerkin comp...
In this paper we present a residual-based {\em a posteriori} error estimator for $hp$-adaptive disco...
Interior Penalty Discontinuous Galerkin (IPDG) methods for second order elliptic boundary value prob...
In this paper we develop the a posteriori error analysis of the hp-version of the discontinuous Gale...
We prove an a-posteriori error estimate for an \(hp\)-adaptive discontinuous Galerkin method for the...
This paper presents an hp-adaptive discontinuous Galerkin method for linear hyperbolic conservation ...
In this paper we present two different kinds of error estimators for acoustic problems: a residual-b...
We consider the hp-version interior penalty discontinuous Galerkin finite element method (hp-DGFEM) ...
We develop the a posteriori error analysis of the hp-version of the discontinuous Galerkin finite el...
A unified a posteriori error analysis is derived in extension of Carstensen (Numer Math 100:617–637,...