Miloslav Feistauer

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This work is concerned with the simulation of inviscid compressible flow in time dependent domains. We present an ALE (Arbitrary Lagrangian-Eulerian) formulation of the Euler equations describing compressible flow, discretize them in space by the discontinous Galerkin method and introduce a semi-implicit linearized time stepping for the numerical solution(More)
The paper presents the theory of the space-time discontinuous Galerkin finite element method for the discretization of a nonstationary convection-diffusion initial-boundary value problem with nonlinear convection and nonlinear diffusion. The discon-tinuous Galerkin method is applied separately in space and time using, in general, different space grids on(More)
The paper presents main results of the investigation of the coupled BEM and FEM applied to a nonlinear generally nonmonotone exterior boundary value problem. The problem consists of a nonlinear diier-ential equation considered in an annular bounded domain and the Laplace equation outside. These equations are equipped with boundary and transmission(More)