In this paper we propose a new family of hierarchic higher-order Hermite elements on hybrid triangular/quadrilateral meshes. Optimal higher-order interior modes are calculated using an appropriate generalized eigenvalue problem. New nonaffine reference mappings preserving the continuity of...

Modeling of non-linear phenomena always brings the question of uniqueness of the exact as well as numerical solution. The paper is devoted to the non-unique behavior of gases, which has been observed in special axisymmetric nozzles at transonic flow regimes. We describe the flow by means of the...