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In this paper, we design a high order discontinuous Galerkin method for such problems.
Li et al. considered the fourth order discontinuous case and obtained some new differential expressions of the eigenvalues in [19].
To this end, we use the high order discontinuous Galerkin spectral element method on non-conforming curved elements.
As an example for application, we applied our theorem to study first order discontinuous nonlinear differential equation to conclude our paper.
For high order discontinuous Galerkin (DG) method, even though the characteristicwise TVB limiter in [1,2] can kill oscillations, it is not sufficient to maintain the positivity.
We investigate the performance of a tree-based AMR algorithm for the high order discontinuous Galerkin method on quadrilateral grids with non-conforming elements.
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This manuscript is concerned with the detection of shock discontinuities in the solution of conservation laws for high-order discontinuous Galerkin methods.
In this work we develop arbitrary-order Discontinuous Skeletal Gradient Discretisations (DSGD) on general polytopal meshes.
This paper deals with the high-order discontinuous Galerkin (DG) method for solving wave propagation problems.
However, high-order discontinuous Galerkin discretizations have proved challenging for algebraic multigrid.
We propose a nodal high-order discontinuous Galerkin method for 1D wave propagation in nonlinear media.
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