Abstract
A variational principle developed recently for constrained vector fields is applied to nonlinear waves and to unsteady, transonic flow. The mathematical conditions on the admissible functional form of the speed of propagation is compatible with physical considerations for the first systems and the treatment of the mixed derivative is indicative for a proper way to discretize the second for numerical calculations. The variational formulation provides a framework for stability analysis and finite element approximations for the nonlinear systems considered.
| Original language | English |
|---|---|
| Pages (from-to) | 1037-1043 |
| Number of pages | 7 |
| Journal | Zeitschrift fur Angewandte Mathematik und Physik |
| Volume | 28 |
| Issue number | 6 |
| DOIs | |
| State | Published - Nov 1977 |