On the Finite Element Approximation of a Cascade Flow Problem.
Seventieth birthday of Professor Alexander Ženíšek
On two-dimensional and three dimensional axially-symmetric rotational flows of an ideal incompressible fluid
Mathematical study of rotational incompressible non-viscous flows through multiply connected domains
The paper is devoted to the study of the boundary value problem for an elliptic quasilinear second-order partial differential equation in a multiply connected, bounded plane domain under the assumption that the Dirichlet boundary value conditions on the separate components of the boundary are given up to additive constants. These constants together with the solution of the equation considered are to be determined so as to fulfil the so called trainling conditions. The results have immediate applications...
Zprávy. Jindřich Nečas šedesátníkem
Solution of elliptic problem with not fully specified Dirichlet boundary value conditions and its application in hydrodynamics
The author solves a mixed boundary value problem for linear partial differential equations of the elliptic type in a multiply connected domain. Dirichlet conditions are given on the components of the boundary of the domain up to some additive constants which are not known a priori. These constants are to be determined, together with the solution of the boundary value problem, to fulfil some additional conditions. The results are immediately applicable in hydrodynamics to the solution of problems...
On irrotational flows through cascades of profiles in a layer of variable thickness
The paper is devoted to the study of solvability of boundary value problems for the stream function, describing non-viscous, irrotional, subsonic flowes through cascades of profiles in a layer of variable thickness. From the definition of a classical solution the variational formulation is derive and the concept of a weak solution is introduced. The proof of the existence and uniqueness of the weak solution is based on the monotone operator theory.
Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles
The paper is devoted to the solvability of a nonlinear elliptic problem in a plane multiply connected domain. On the inner components of its boundary Dirichlet conditions are known up to additive constants which have to be determined together with the sought solution so that the so-called trailing stagnation conditions are satisfied. The results have applications in the stream function solution of subsonic flows past groups of profiles or cascades of profiles.
Poznámka k platnosti věty o substituci u zobecněných integrálů ve smyslu Cauchyho hlavní hodnoty
Some cases of numerical solution of differential equations describing the vortex-flow through three-dimensional axially symmetric channels
Finite element approximation of nonlinear elliptic problems with discontinuous coefficients
Remarks on the Solvability of Transonic Flow Problems.
Finite Element Solution of Nonlinear Elliptic Problems.
Compactness Method in the Finite Element Theory of Nonlinear Elliptic Problems.
On the solution of transonic flows with weak shocks
Finite element approximation of nonlinear elliptic problems with discontinuous coefficients
Solution of subsonic axially-symmetric stream fields
Subsonic irrotational flow of compressible fluid in axially-symmetric channels
On the stability of the ALE space-time discontinuous Galerkin method for nonlinear convection-diffusion problems in time-dependent domains
The paper is concerned with the analysis of the space-time discontinuous Galerkin method (STDGM) applied to the numerical solution of the nonstationary nonlinear convection-diffusion initial-boundary value problem in a time-dependent domain formulated with the aid of the arbitrary Lagrangian-Eulerian (ALE) method. In the formulation of the numerical scheme we use the nonsymmetric, symmetric and incomplete versions of the space discretization of diffusion terms and interior and boundary penalty....
Výpočtová matematika a počítačová dynamika tekutin
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