- As the name implies, DG methods employ discontinuous finite element basis functions.
- The finite element solution is piecewise-discontinuous across element boundaries, and continuous within each element.
- DG formulations for elliptic problems are unstable unless special "penalty" terms are employed (see, e.g. "interior penalty DG" method).
- You can use DG in MOOSE by specifying a discontinuous family of basis functions (e.g. MONOMIALS) and adding one or more
DGKernels can execute alongside regular
DGKernels are responsible for computing residual and Jacobian contributions due to the "jump" terms along inter-element edges/faces.
- DG is beyond the scope of this training class, if you want to learn more, please ask!