A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
[For part I and II see the authors and \textit{L. P. Franca} ibid. 54, 223- 234 (1986; Zbl 0572.76068)] and the authors and \textit{A. Mizukami}, ibid. 54, 341-356 (1986). Part III to appear in ibid] A discontinuity-capturing operator is developed for the 'streamline' formulation of advective-diffusive systems extending previous work on the scalar advection-diffusion equation. The operator provides a mechanism for exerting control over strong gradients in the discrete solution which appear, for example, in boundary and interior layers.
symmetric incompletely parabolic systems
scientific article; zbMATH DE number 3943396