Questions about analysis, implementation or application of Galerkin methods for partial differential equations using piecewise functions that are not globally continuous (and hence require surface terms on element boundaries in addition to the usual volume terms occurring in finite element methods).
2
votes
2answers
41 views
How to properly use polynomial projection to get values at visualization nodes?
I am trying to implementing a nodal discontinuous Galerkin spectral element method for linear and non-linear systems of equations. The solution at each time step is given at ...
4
votes
0answers
57 views
Discontinuous Galerkin for flow through porous media
I am struggling with DG methods for 2 phase flow through porous media. I managed to get the global pressure, total flux equations to work with an unconditionally stable mixed FE DG formulation as ...
8
votes
1answer
96 views
Testing and visualizing large index arrays
I will be implementing nodal discontinuous Galerkin method soon, and having done this before I know the basic indexing arrays I will need to compute, given a mesh and polynomial data.
The problem I ...
4
votes
3answers
161 views
How to efficiently structure simulation data in memory for cells with varying degrees of freedom?
For a discontinuous Galerkin-based simulation I need to store cell-based simulation data in memory. Since the order of the polynomial approximation $N_p$ may vary between cells, I wonder what the most ...
5
votes
1answer
263 views
Visualizing discontinuous Galerkin/finite element data
I would like to visualize simulation results, obtained using the discontinuous Galerkin (DG) approach, within ParaView. Similarly to finite volume methods, the problem domain is divided into ...
