Add to ORKGWe present results for all Benchmark problems using the Compact Discontinuous Galerkin (CDG) method of order 3. This method combines the stability and accuracy properties of the Local Discontinuous Galerkin (LDG) method while retaining the small stencil of other DG schemes. This reduces storage requirements and allows a simpler parallelization approach. As in the LDG method a stabilization parameter is used to penalize jumps of the discrete solution between elements. We suggest a special choice for this parameter which can be used for all test cases. The implementation is based on the DUNE software package
In this work we formulate the Compact Discontinuous Galerkin 2 (CDG2) method introduced in [8] for a...
We extend the discontinuous Galerkin framework to a linear second-order elliptic problem on a compac...
In this paper we study the convergence of a multigrid method for the solution of a linear secondorde...
International audienceWe propose a modified local discontinuous Galerkin (LDG) method for second–ord...
Since the inception of discontinuous Galerkin (DG) methods for elliptic problems, there has existed ...
We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear c...
We consider DG-methods for second order scalar elliptic problems using piecewise affine approximatio...
In this paper we analyze a discontinuous finite element method recently introduced by Bassi and Reba...
Abstract Since the inception of discontinuous Galerkin (DG)methods for elliptic problems, there has ...
Abstract. We extend the finite element method introduced by Lakkis and Pryer [2011] to approximate t...
A realization of an r-adaptive procedure preserving mesh connectivity is analyzed for the Local Disc...
The HDG is a new class of discontinuous Galerkin (DG) methods that shares favorable properties with ...
<p>The paper presents the Discontinuous Galerkin method (DG) formulated with a non-zero mesh skeleto...
An efficient hp-multigrid scheme is presented for local discontinuous Galerkin (LDG) discretizations...
We discuss the discretisation using discontinuous Galerkin (DG) formulation of an elliptic Poisson p...
In this work we formulate the Compact Discontinuous Galerkin 2 (CDG2) method introduced in [8] for a...
We extend the discontinuous Galerkin framework to a linear second-order elliptic problem on a compac...
In this paper we study the convergence of a multigrid method for the solution of a linear secondorde...
International audienceWe propose a modified local discontinuous Galerkin (LDG) method for second–ord...
Since the inception of discontinuous Galerkin (DG) methods for elliptic problems, there has existed ...
We present a new scheme, the compact discontinuous Galerkin 2 (CDG2) method, for solving nonlinear c...
We consider DG-methods for second order scalar elliptic problems using piecewise affine approximatio...
In this paper we analyze a discontinuous finite element method recently introduced by Bassi and Reba...
Abstract Since the inception of discontinuous Galerkin (DG)methods for elliptic problems, there has ...
Abstract. We extend the finite element method introduced by Lakkis and Pryer [2011] to approximate t...
A realization of an r-adaptive procedure preserving mesh connectivity is analyzed for the Local Disc...
The HDG is a new class of discontinuous Galerkin (DG) methods that shares favorable properties with ...
<p>The paper presents the Discontinuous Galerkin method (DG) formulated with a non-zero mesh skeleto...
An efficient hp-multigrid scheme is presented for local discontinuous Galerkin (LDG) discretizations...
We discuss the discretisation using discontinuous Galerkin (DG) formulation of an elliptic Poisson p...
In this work we formulate the Compact Discontinuous Galerkin 2 (CDG2) method introduced in [8] for a...
We extend the discontinuous Galerkin framework to a linear second-order elliptic problem on a compac...
In this paper we study the convergence of a multigrid method for the solution of a linear secondorde...