Výsledky vyhľadávania - Variational methods applied to problems in fluid mechanics
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A projection based variational multiscale method for a fluid–fluid interaction problem
ISSN: 0045-7825Vydavateľské údaje: Amsterdam Elsevier B.V 15.06.2020Vydané v Computer methods in applied mechanics and engineering (15.06.2020)“…The proposed method aims to approximate a solution of a fluid–fluid interaction problem in case of low viscosities…”
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The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics
ISSN: 0898-1221, 1873-7668Vydavateľské údaje: Elsevier Ltd 01.12.2009Vydané v Computers & mathematics with applications (1987) (01.12.2009)“… In this work, a general framework of the variational iteration method is presented for analytical treatment of fractional partial differential equations in fluid mechanics…”
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Variational methods of solving dynamic problems for fluid-containing bodies
ISSN: 1063-7095, 1573-8582Vydavateľské údaje: 01.10.2004Vydané v International applied mechanics (01.10.2004)“… These principles are used to formulate variational problems that are the basis of direct methods of solving nonlinear and linear dynamic problems for body-fluid systems…”
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A unified continuum and variational multiscale formulation for fluids, solids, and fluid–structure interaction
ISSN: 0045-7825, 1879-2138Vydavateľské údaje: Netherlands Elsevier B.V 01.08.2018Vydané v Computer methods in applied mechanics and engineering (01.08.2018)“… We first consider the continuum body instantiated as a hyperelastic material and develop a variational multiscale formulation for the hyper-elastodynamic problem. The generalized…”
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Convergence of two-step inertial Tseng’s extragradient methods for quasimonotone variational inequality problems
ISSN: 1007-5704, 1878-7274Vydavateľské údaje: Elsevier B.V 01.09.2024Vydané v Communications in nonlinear science & numerical simulation (01.09.2024)“…This paper introduces two-step inertial Tseng’s extragradient methods with self-adaptive step sizes for solving quasimonotone variational inequalities in real Hilbert spaces…”
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Convergence of a generalized penalty method for variational–hemivariational inequalities
ISSN: 1007-5704, 1878-7274Vydavateľské údaje: Amsterdam Elsevier B.V 01.01.2021Vydané v Communications in nonlinear science & numerical simulation (01.01.2021)“…•A general existence result for a class of variational-hemivariational inequalities is proved…”
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New viscosity-projection methods for solving variational inquality problems with applications to image restoration problems
ISSN: 1007-5704Vydavateľské údaje: Elsevier B.V 01.01.2026Vydané v Communications in nonlinear science & numerical simulation (01.01.2026)“…This research investigates two new viscosity-projection methods for solving variational inquality problems (VIPs…”
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Combination of the variational iteration method and numerical algorithms for nonlinear problems
ISSN: 1088-8691, 0307-904XVydavateľské údaje: New York Elsevier BV 01.03.2020Vydané v Applied Mathematical Modelling (01.03.2020)“…A very simple and efficient local variational iteration method (LVIM), or variational iteration method with local property, for solving problems of nonlinear science is proposed in this paper…”
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Evolutionary-variational method in mathematical plasticity
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.11.2024Vydané v Acta mechanica (01.11.2024)“… The appropriate initial boundary value problem is formulated for the displacement in the form of the evolutionary-variational problem (EVP), i.e…”
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Size-dependent couple stress natural frequency analysis via a displacement-based variational method for two- and three-dimensional problems
ISSN: 0001-5970, 1619-6937Vydavateľské údaje: Vienna Springer Vienna 01.03.2023Vydané v Acta mechanica (01.03.2023)“…After deriving a novel Principle of Stationary Correlated Action for the general bi-anisotropic case of size-dependent materials governed by consistent couple stress theory, a Ritz Spline Method…”
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A Bayesian estimation method for variational phase-field fracture problems
ISSN: 0178-7675, 1432-0924Vydavateľské údaje: Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2020Vydané v Computational mechanics (01.10.2020)“… The fracture problem is described by a phase-field method. Parameter estimation is realized with a Bayesian approach…”
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Accelerated projection methods for quasimonotone bilevel variational inequality problems with applications
ISSN: 1007-5704Vydavateľské údaje: Elsevier B.V 01.11.2025Vydané v Communications in nonlinear science & numerical simulation (01.11.2025)“… These algorithms are employed to solve the quasimonotone bilevel variational inequality problem (QBVIP, where VIP denotes a variational inequality problem…”
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Strong convergence of inertial extragradient methods for solving pseudomonotone variational inequality problems
ISSN: 1007-5704Vydavateľské údaje: Elsevier B.V 01.10.2025Vydané v Communications in nonlinear science & numerical simulation (01.10.2025)“…The extragradient method is an efficient approach for solving variational inequality problems…”
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Lagrange multiplier and variational equations in mechanics
ISSN: 0022-0833, 1573-2703Vydavateľské údaje: Dordrecht Springer Netherlands 01.02.2024Vydané v Journal of engineering mathematics (01.02.2024)“… Though variational equations are suitable for numerical methods through finite elements, the restriction of test functions only in the tangent space is source of some difficulties…”
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Approximate subgradient extragradient methods for solving variational inequality problems: Convergence analysis and applications in signal and image processing
ISSN: 1007-5704Vydavateľské údaje: Elsevier B.V 01.01.2026Vydané v Communications in nonlinear science & numerical simulation (01.01.2026)“…This paper introduces two new inertial algorithms for solving variational inequality problems in a real Hilbert space…”
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An immersogeometric variational framework for fluid–structure interaction: Application to bioprosthetic heart valves
ISSN: 0045-7825, 1879-2138Vydavateľské údaje: Netherlands Elsevier B.V 01.02.2015Vydané v Computer methods in applied mechanics and engineering (01.02.2015)“… The proposed method directly analyzes a spline-based surface representation of the structure by immersing it into a non-boundary-fitted discretization of the surrounding fluid domain…”
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A variational theory of lift
ISSN: 0022-1120, 1469-7645Vydavateľské údaje: Cambridge, UK Cambridge University Press 25.06.2022Vydané v Journal of fluid mechanics (25.06.2022)“…In this paper we revive a special, less-common, variational principle in analytical mechanics (Hertz…”
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Strong convergence results for solving non-monotone variational inequalities via inertial projection and contraction methods
ISSN: 1007-5704Vydavateľské údaje: Elsevier B.V 01.01.2026Vydané v Communications in nonlinear science & numerical simulation (01.01.2026)“…This paper introduces some new conditions imposing on inertial projection and contraction methods for solving non-monotone variational inequalities in real Hilbert spaces…”
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New self-adaptive methods with double inertial steps for solving splitting monotone variational inclusion problems with applications
ISSN: 1007-5704Vydavateľské údaje: 01.11.2022Vydané v Communications in nonlinear science & numerical simulation (01.11.2022)Získať plný text
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A three-step subgrid stabilized Oseen iterative method for Navier–Stokes type variational inequality
ISSN: 1007-5704Vydavateľské údaje: Elsevier B.V 01.11.2024Vydané v Communications in nonlinear science & numerical simulation (01.11.2024)“…–Stokes problem with friction boundary conditions whose weak form is the variational inequality of the second kind…”
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