Feistauer, Miloslav On the finite element approximation of a cascade flow problem. (English) Zbl 0646.76085 Numer. Math. 50, 655-684 (1987). Summary: The finite element analysis of a cascade flow problem with a given velocity circulation round profiles is presented. The nonlinear problem for the stream function with nonstandard boundary conditions is discretized by conforming linear triangular elements. We deal with the properties of the discrete problem and study the convergence of the method both for polygonal and nonpolygonal domains, including the effect of numerical integration. Cited in 1 ReviewCited in 25 Documents MSC: 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics 76G25 General aerodynamics and subsonic flows 76M99 Basic methods in fluid mechanics 65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs Keywords:finite element analysis; cascade flow problem; velocity circulation; nonstandard boundary conditions; conforming linear triangular elements; discrete problem; convergence; nonpolygonal domains; numerical integration × Cite Format Result Cite Review PDF Full Text: DOI EuDML References: [1] Babu?ka, I.: Approximation by hill functions. Comment. Math. Univ. Carolinae11, 787-811 (1970) · Zbl 0215.46404 [2] Babu?ka, I.: Approximation by hill functions II. Comment. Math. Univ. Carolinae13, 1-22 (1972) · Zbl 0244.41005 [3] Benda, J.: Application of the finite element method to the calculation of an ideal fluid flow in a plane cascade of blades. Ph. D. 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In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.