Search Results - Variational methods applied to problems in fluid mechanics

A projection based variational multiscale method for a fluid–fluid interaction problem by 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…”
Get full text

The variational iteration method: An efficient scheme for handling fractional partial differential equations in fluid mechanics by 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…”
Get full text

Variational methods of solving dynamic problems for fluid-containing bodies by 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…”
Get full text

A unified continuum and variational multiscale formulation for fluids, solids, and fluid–structure interaction by 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…”
Get full text

Convergence of two-step inertial Tseng’s extragradient methods for quasimonotone variational inequality problems by 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…”
Get full text

Convergence of a generalized penalty method for variational–hemivariational inequalities by Zeng, Shengda, Migórski, Stanisław, Liu, Zhenhai, Yao, Jen-Chih

“…•A general existence result for a class of variational-hemivariational inequalities is proved…”
Get full text

New viscosity-projection methods for solving variational inquality problems with applications to image restoration problems by Trang, C.T.T., Tu, H.P., Anh, P.N.

“…This research investigates two new viscosity-projection methods for solving variational inquality problems (VIPs…”
Get full text

Combination of the variational iteration method and numerical algorithms for nonlinear problems by 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…”
Get full text

Evolutionary-variational method in mathematical plasticity by 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…”
Get full text

Size-dependent couple stress natural frequency analysis via a displacement-based variational method for two- and three-dimensional problems by 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…”
Get full text

A Bayesian estimation method for variational phase-field fracture problems by 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…”
Get full text

Accelerated projection methods for quasimonotone bilevel variational inequality problems with applications by 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…”
Get full text

Strong convergence of inertial extragradient methods for solving pseudomonotone variational inequality problems by Yan, Qian, An, Libo, Cai, Gang, Dong, Qiao-Li

“…The extragradient method is an efficient approach for solving variational inequality problems…”
Get full text

Lagrange multiplier and variational equations in mechanics by 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…”
Get full text

Approximate subgradient extragradient methods for solving variational inequality problems: Convergence analysis and applications in signal and image processing by 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…”
Get full text

An immersogeometric variational framework for fluid–structure interaction: Application to bioprosthetic heart valves by 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…”
Get full text

A variational theory of lift by Gonzalez, Cody, Taha, Haithem E.

“…In this paper we revive a special, less-common, variational principle in analytical mechanics (Hertz…”
Get full text

Strong convergence results for solving non-monotone variational inequalities via inertial projection and contraction methods by 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…”
Get full text

New self-adaptive methods with double inertial steps for solving splitting monotone variational inclusion problems with applications by Wang, Zhong-bao, Long, Xin, Lei, Zhen-yin, Chen, Zhang-you

Get full text

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

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