Abstract
High order discontinuous Galerkin discretization schemes are considered for steady state problems. We discuss the issue of oscillations arising when Newton's method is employed to obtain a steady state solution. It will be demonstrated that flux approximation near flux extrema may produce spurious oscillations propagating over the domain of computation. The control over the numerical flux in the problem allows one to obtain nonoscillating convergent solutions.
| Original language | English |
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| Pages (from-to) | 1329-1346 |
| Number of pages | 18 |
| Journal | SIAM Journal on Scientific Computing |
| Volume | 27 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jan 2006 |