Application of R-Function Methods and the Nonlinear Galerkin Method in the Mathematical Modeling of Plane Steady Viscous Flows
The paper considers a plane–parallel flow of a viscous incompressible fluid in a bounded simply connected domain with a piecewise smooth boundary. Such studies are relevant both from the standpoint of the development of theoretical methods of hydrodynamics and mathematical physics and for solving a...
Saved in:
| Date: | 2026 |
|---|---|
| Main Authors: | Сидоров, Максим, Чумаченко, Світлана, Шпакович, Максим |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Кам'янець-Подільський національний університет імені Івана Огієнка
2026
|
| Online Access: | https://mcm-math.kpnu.edu.ua/article/view/354829 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Mathematical and computer modelling. Series: Physical and mathematical sciences |
Institution
Mathematical and computer modelling. Series: Physical and mathematical sciencesSimilar Items
The Application of the Green-Rvachev Quasifunction Method for Constructing Two-Sided Approximations to the Solution of the Dirichlet Problem for a Nonlinear Heat Equation
by: Сидоров, Максим Вікторович
Published: (2018)
by: Сидоров, Максим Вікторович
Published: (2018)
Application of the Method of Two-Sided Approximations for Finding Positive Axially Symmetric Solutions of Boundary Value Problems with Monotone Nonlinearities
by: Пархоменко, Владислав, et al.
Published: (2024)
by: Пархоменко, Владислав, et al.
Published: (2024)
Application of the Method of Two-Sided Approximations for Finding Positive Axially Symmetric Solutions of Boundary Value Problems with Singular Nonlinearities
by: Пархоменко, Владислав, et al.
Published: (2025)
by: Пархоменко, Владислав, et al.
Published: (2025)
The Method of Two-Sided Approximations in the Numerical Analysis of the Navier Problem as a Mathematical Model of a One-Dimensional Microelectromechanical System
by: Гвоздєв, Микита, et al.
Published: (2026)
by: Гвоздєв, Микита, et al.
Published: (2026)
Analysis By the Method of Two-Sided Approximations of Positive Axially Symmetric Solutions of the First Boundary Value Problem for the Helmholtz Equation with a Monotone Power Nonlinearity
by: Пархоменко, Владислав, et al.
Published: (2025)
by: Пархоменко, Владислав, et al.
Published: (2025)
R-Functions Method for the Mass Exchange Problem of a Cylindrical Body Formed by Lame Curve with a Viscous Incompressible Fluid
by: Ламтюгова, Світлана
Published: (2024)
by: Ламтюгова, Світлана
Published: (2024)
On Galerkin's method for evolutionary equations with pulse influence
by: Ilolov, M., et al.
Published: (1993)
by: Ilolov, M., et al.
Published: (1993)
An analog of the Galerkin method in problems of drug transfer in biological tissues
by: D. A. Kliushyn, et al.
Published: (2021)
by: D. A. Kliushyn, et al.
Published: (2021)
Weak solutions and convergence of the Galerkin method for the fractional diffusion equation
by: A. L. Hulianytskyi
Published: (2015)
by: A. L. Hulianytskyi
Published: (2015)
On the application of mass lumping in the Petrov–Galerkin finite element method for convection-diffusion problems
by: S. V. Sirik, et al.
Published: (2014)
by: S. V. Sirik, et al.
Published: (2014)
Texture advection in the viscous fluid flow modeling with the lattice Boltzmann method
by: H. H. Bulanchuk, et al.
Published: (2019)
by: H. H. Bulanchuk, et al.
Published: (2019)
Galerkin Method for First-Order Hyperbolic Systems with Two Independent Variables
by: Lavrenyuk, S. P., et al.
Published: (2002)
by: Lavrenyuk, S. P., et al.
Published: (2002)
The R-functions method in mathematical modelling of heat exchange at incompressible viscous liquid movement in cylindrical channels with central screw inserts
by: K. V. Maksimenko-Shejko
Published: (2010)
by: K. V. Maksimenko-Shejko
Published: (2010)
Convergence of the Galerkin method for a wave equation with singular right-hand side
by: Nomirovs'kii, D. A., et al.
Published: (2006)
by: Nomirovs'kii, D. A., et al.
Published: (2006)
Singular Cauchy problem for the equation of flow of thin viscous films with nonlinear convection
by: Taranets, R. M., et al.
Published: (2006)
by: Taranets, R. M., et al.
Published: (2006)
Mathematical modeling of fluid flows through the piecewise homogeneous porous medium by R-function method
by: O. R. Podhornyj, et al.
Published: (2021)
by: O. R. Podhornyj, et al.
Published: (2021)
Метод двобічних наближень розв’язання задачі Діріхле для нелінійного рівняння теплопровідності
by: Сидоров, Максим Вікторович
Published: (2017)
by: Сидоров, Максим Вікторович
Published: (2017)
About Some Direction of Development of Galerkin Projective Method in Problems of Stationary Solid Mechanics (review)
by: Ya. M. Hryhorenko, et al.
Published: (2023)
by: Ya. M. Hryhorenko, et al.
Published: (2023)
Mathematical models and methods on higher dimensional bulk viscous string cosmology with the framework of Lyra geometry
by: M. R. Mollah, et al.
Published: (2023)
by: M. R. Mollah, et al.
Published: (2023)
Mathematical models and methods on higher dimensional bulk viscous string cosmology with the framework of Lyra geometry
by: M. R. Mollah, et al.
Published: (2023)
by: M. R. Mollah, et al.
Published: (2023)
Mathematical modeling and method for determining the steady thermoelastic state in multi-layered thermal sensitive cylinders
by: V. S. Popovych, et al.
Published: (2014)
by: V. S. Popovych, et al.
Published: (2014)
Supercavitating vehicle maneuvering with delay and non-steady planing
by: Nguyen, V., et al.
Published: (2013)
by: Nguyen, V., et al.
Published: (2013)
Method of building a mathematical model of layered flows
by: D. I. Chernii
Published: (2020)
by: D. I. Chernii
Published: (2020)
Method of building a mathematical model of layered flows
by: Cherniy, Dmytro I.
Published: (2020)
by: Cherniy, Dmytro I.
Published: (2020)
Non-steady Plane Problem for the Layer of Fluid on the Rigid Foundation
by: V. D. Kubenko
Published: (2019)
by: V. D. Kubenko
Published: (2019)
Thermodynamic parameters of the viscous flow in the aqueous solutions of polyols
by: O. P. Rudenko, et al.
Published: (2020)
by: O. P. Rudenko, et al.
Published: (2020)
Thermodynamic parameters of the viscous flow in the aqueous solutions of polyols
by: O. P. Rudenko, et al.
Published: (2020)
by: O. P. Rudenko, et al.
Published: (2020)
Estimation of the Accuracy of Finite-Element Petrov–Galerkin Method in Integrating the One-Dimensional Stationary Convection-Diffusion-Reaction Equation
by: S. V. Sirik
Published: (2015)
by: S. V. Sirik
Published: (2015)
Estimation of the Accuracy of Finite-Element Petrov–Galerkin Method in Integrating the One-Dimensional Stationary Convection-Diffusion-Reaction Equation
by: Sirik, S. V., et al.
Published: (2015)
by: Sirik, S. V., et al.
Published: (2015)
Methods and instruments for steady economic development providing of national economy
by: Yu. I. Parshyn
Published: (2015)
by: Yu. I. Parshyn
Published: (2015)
On Steady Flows of Quasi- Newtonian Fluids in Orlicz–Sobolev Spaces
by: F. Balaadich, et al.
Published: (2021)
by: F. Balaadich, et al.
Published: (2021)
Application package for computations of 3d flow of viscous gas through tur-bomachinery cascades
by: S. V. Ershov
Published: (2012)
by: S. V. Ershov
Published: (2012)
Application package for computations of 3d flow of viscous gas through tur-bomachinery cascades
by: Ершов, С. В.
Published: (2012)
by: Ершов, С. В.
Published: (2012)
Application package for computations of 3d flow of viscous gas through tur-bomachinery cascades
by: Ершов, С. В.
Published: (2012)
by: Ершов, С. В.
Published: (2012)
Numerical Analysis of Filtration Flows in Inhomogeneous Media Using the R-Functions Method
by: O. R. Podhornyi
Published: (2018)
by: O. R. Podhornyi
Published: (2018)
Numerical Analysis of Filtration Flows in Inhomogeneous Media Using the R-Functions Method
by: Подгорний, Олексій Русланович
Published: (2018)
by: Подгорний, Олексій Русланович
Published: (2018)
Grid-Computing Technology for Mathematical Modelling of Viscous Destruction Processes
by: O. M. Khimich, et al.
Published: (2014)
by: O. M. Khimich, et al.
Published: (2014)
Aeroelastic Behaviour of Turbine Blade Row in 3D Viscous Flow
by: V. I. Gnesin, et al.
Published: (2018)
by: V. I. Gnesin, et al.
Published: (2018)
Numerical simulation of heat transfer of turbine blade cascade in viscous flow
by: Ju. A. Bykov
Published: (2010)
by: Ju. A. Bykov
Published: (2010)
Aeroelastic behaviour of the turbine blade row in 3D viscous flow
by: Gnesin, V. I., et al.
Published: (2018)
by: Gnesin, V. I., et al.
Published: (2018)
Similar Items
-
The Application of the Green-Rvachev Quasifunction Method for Constructing Two-Sided Approximations to the Solution of the Dirichlet Problem for a Nonlinear Heat Equation
by: Сидоров, Максим Вікторович
Published: (2018) -
Application of the Method of Two-Sided Approximations for Finding Positive Axially Symmetric Solutions of Boundary Value Problems with Monotone Nonlinearities
by: Пархоменко, Владислав, et al.
Published: (2024) -
Application of the Method of Two-Sided Approximations for Finding Positive Axially Symmetric Solutions of Boundary Value Problems with Singular Nonlinearities
by: Пархоменко, Владислав, et al.
Published: (2025) -
The Method of Two-Sided Approximations in the Numerical Analysis of the Navier Problem as a Mathematical Model of a One-Dimensional Microelectromechanical System
by: Гвоздєв, Микита, et al.
Published: (2026) -
Analysis By the Method of Two-Sided Approximations of Positive Axially Symmetric Solutions of the First Boundary Value Problem for the Helmholtz Equation with a Monotone Power Nonlinearity
by: Пархоменко, Владислав, et al.
Published: (2025)