Suchergebnisse - Variational methods applied to problems in fluid mechanics

A projection based variational multiscale method for a fluid–fluid interaction problem von Aggul, Mustafa, Eroglu, Fatma G., Kaya, Songül, Labovsky, Alexander E.

“… 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 von Odibat, Zaid, Momani, Shaher

“… 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 von Lukovskii, I. A.

“… 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 von Liu, Ju, Marsden, Alison L.

“… 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 von Dung, Vu Tien, Anh, Pham Ky, Thong, Duong Viet

“… 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 von Zeng, Shengda, Migórski, Stanisław, Liu, Zhenhai, Yao, Jen-Chih

“… •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 von Trang, C.T.T., Tu, H.P., Anh, P.N.

“… 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 von Wang, Xuechuan, Xu, Qiuyi, Atluri, Satya N

“… 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 von Brigadnov, Igor A.

“… 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 von Apostolakis, Georgios, Dargush, Gary F.

“… 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 von Khodadadian, Amirreza, Noii, Nima, Parvizi, Maryam, Abbaszadeh, Mostafa, Wick, Thomas, Heitzinger, Clemens

“… 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 von Wang, Meiying, Liu, Hongwei, Yang, Jun, Wei, Xinyi

“… 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 von Yan, Qian, An, Libo, Cai, Gang, Dong, Qiao-Li

“… The extragradient method is an efficient approach for solving variational inequality problems …”
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Lagrange multiplier and variational equations in mechanics von Nzengwa, Robert

“… 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 von Rehman, Habib ur, Peng, Zai-Yun, Yao, Jen-Chih

“… 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 von Kamensky, David, Hsu, Ming-Chen, Schillinger, Dominik, Evans, John A., Aggarwal, Ankush, Bazilevs, Yuri, Sacks, Michael S., Hughes, Thomas J.R.

“… 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 von Gonzalez, Cody, Taha, Haithem E.

“… 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 von Dung, Vu Tien, Thong, Duong Viet, Thang, Hoang Van, Long, Luong Van

“… 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 von Wang, Zhong-bao, Long, Xin, Lei, Zhen-yin, Chen, Zhang-you

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A three-step subgrid stabilized Oseen iterative method for Navier–Stokes type variational inequality von Zheng, Bo, Shang, Yueqiang

“… –Stokes problem with friction boundary conditions whose weak form is the variational inequality of the second kind …”
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