The Dual Characteristic-Galerkin Method
Comptes Rendus. MathématiqueThe Dual Characteristic-Galerkin method (DCGM) is conservative, precise and experimentally positive. We present the method and prove convergence and $L^2$-stability in the case of Neumann boundary conditions. In a 2D numerical finite element setting (FEM)
Hecht, Frédéric, Pironneau, Olivier
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Stator elements optimization of centrifugal compressor intermediate type stage by CFD methods [PDF]
E3S Web of Conferences, 2020 Optimal gas-dynamic design is a complex and time-consuming process. Modern CFD methods help in solving optimization problems and reliably calculating characteristics of stator elements of centrifugal compressor stages.
Marenina Lyubov +2 more
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A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations [PDF]
, 2007 In this paper we consider the numerical solution of first-order Hamilton-Jacobi equations using the combination of a discontinuous Galerkin finite element method and an adaptive $r$-refinement (mesh movement) strategy.
MacKenzie, John, Nicola, Aurelian
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A continuous/discontinuous Galerkin formulation for a strain gradient-dependent damage model: 2D results [PDF]
, 2011 The numerical solution of strain gradient-dependent continuum problems has been hindered by continuity demands on the basis functions. The presence of terms in constitutive models which involve gradients of the strain eld means that the $C^0$ continuity
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Experience of designing a low-pressing turbocharger compressor using the modern version of a Universal modelling method [PDF]
E3S Web of Conferences, 2020 The paper presents the joint experience of the NPO “Turbotekhnika” and the R&D Laboratory “Gas Dynamics of Turbomachines” of SPbPU for designing a centrifugal compressor operating at pressure ratio 1.61 and a mass flow rate of 0.62 kg/s.
Galerkin Yuri +2 more
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Optimality Properties of Galerkin and Petrov–Galerkin Methods for Linear Matrix Equations [PDF]
Vietnam Journal of Mathematics, 2020 Galerkin and Petrov-Galerkin methods are some of the most successful solution procedures in numerical analysis. Their popularity is mainly due to the optimality properties of their approximate solution. We show that these features carry over to the (Petrov-)Galerkin methods applied for the solution of linear matrix equations.
Palitta D., Simoncini V.
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Numerical solution of Fredholm integral equation of the first kind with degenerated kernel by using Hermite polynomial [PDF]
مجلة التربية والعلم, 2006 In this paper we used Hermite polynomial with Galerkin , collocation and least square methods for solving fredholm integral equations of the first kind (F.I.E.F.K) with degenerated kernel .The algorithms and computer applications of the algorithms are ...
Talhat I.Hassan, Najmaddin A.Sulaiman
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Centrifugal compressor impeller loading factor analysis [PDF]
E3S Web of Conferences, 2019 The loading factor performance modelling is an important part of centrifugal compressor performance calculation. The presented information on model stages’ test data confirms the fact that the loading factor versus flow coefficient at an impeller exit is
Galerkin Y., Drozdov A., Rekstin A.
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ON THE COMPARISON OF EVOLUTION GALERKIN AND DISCONTINUOUS GALERKIN SCHEMES [PDF]
Recent Advances in Computational Sciences, 2008 The aim of this paper is to compare some recent numerical schemes for solving hyperbolic conservation laws. We consider the flux vector splitting finite volume methods, finite volume evolution Galerkin scheme as well as the discontinuous Galerkin scheme. All schemes are constructed using time explicit discretization.
K. BAUMBACH, M. LUKÁČOVÁ-MEDVIĎOVÁ
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An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type [PDF]
, 2011 We study the numerical solution of a class of parabolic integro-differential equations with weakly singular kernels. We use an $hp$-version discontinuous Galerkin (DG) method for the discretization in time.
H. Mustapha +7 more
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