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Article
On Finite Volume Methods for a Navier–Stokes Variational Inequality
Finite volume methods are introduced to solve a class of variational inequality of the second kind, which is governed by the incompressible Navier–Stokes equations under nonlinear slip boundary conditions of f...
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Chapter and Conference Paper
Optimization of Supply Chain Scheduling Based on Genetic Particle Swarm Optimization Algorithm
In response to the optimization problem of large-scale customization supply chain scheduling, the author introduces a supply chain scheduling optimization approach that relies on a hybrid algorithm combining g...
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Article
Bradykinin-pretreated Human cardiac-specific c-kit+ Cells Enhance Exosomal miR-3059-5p and Promote Angiogenesis Against Hindlimb Ischemia in mice
Protection of cardiac function following myocardial infarction was largely enhanced by bradykinin-pretreated cardiac-specific c-kit+ (BK-c-kit+) cells, even without significant engraftment, indicating that paracr...
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Article
Stabilized low-order mixed finite element methods for a Navier-Stokes hemivariational inequality
In this paper, pressure projection stabilized low-order mixed finite element methods are studied to solve a Navier-Stokes hemivariational inequality for a boundary value problem of the Navier-Stokes equations ...
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Article
Design of a prediction system based on the dynamical feed-forward neural network
Analysis and prediction of time series play a significant role in scientific fields of meteorology, epidemiology, and economy. Efficient and accurate prediction of signals can give an early detection of abnorm...
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Article
A Pressure Projection Stabilized Mixed Finite Element Method for a Stokes Hemivariational Inequality
This paper is devoted to the development and analysis of a pressure projection stabilized mixed finite element method, with continuous piecewise linear approximations of velocities and pressures, for solving a...
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Article
A Nonconforming Virtual Element Method for a Fourth-order Hemivariational Inequality in Kirchhoff Plate Problem
This paper is devoted to a fourth-order hemivariational inequality for a Kirchhoff plate problem. A solution existence and uniqueness result is proved for the hemivariational inequality through the analysis of...
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Article
Open AccessNumerical analysis of doubly-history dependent variational inequalities in contact mechanics
This paper is devoted to numerical analysis of doubly-history dependent variational inequalities in contact mechanics. A fully discrete method is introduced for the variational inequalities, in which the doubl...
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Article
Open AccessWell-posedness analysis of a stationary Navier–Stokes hemivariational inequality
This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point. The hemivariational ineq...
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Article
Minimization arguments in analysis of variational–hemivariational inequalities
In this paper, an alternative approach is provided in the well-posedness analysis of elliptic variational–hemivariational inequalities in real Hilbert spaces. This includes the unique solvability and continuou...
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Article
Mixed Finite Element Method for a Hemivariational Inequality of Stationary Navier–Stokes Equations
In this paper, we develop and study the mixed finite element method for a hemivariational inequality of the stationary Navier–Stokes equations (NS hemivariational inequality). The NS hemivariational inequality...
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Article
Seismic wave equations in tight oil/gas sandstone media
Tight oil/gas medium is a special porous medium, which plays a significant role in oil and gas exploration. This paper is devoted to the derivation of wave equations in such a media, which take a much simpler ...
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Article
On a family of discontinuous Galerkin fully-discrete schemes for the wave equation
In this paper, we study a family of discontinuous Galerkin (DG) fully discrete schemes for solving the second-order wave equation. The spatial variable discretization is based on an application of the DG metho...
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Article
The Nonconforming Virtual Element Method for a Stationary Stokes Hemivariational Inequality with Slip Boundary Condition
In this paper, the nonconforming virtual element method is studied to solve a hemivariational inequality problem for the stationary Stokes equations with a nonlinear slip boundary condition. The nonconforming ...
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Article
Numerical analysis of history-dependent variational-hemivariational inequalities
In this paper, numerical analysis is carried out for a class of history-dependent variational-hemivariational inequalities by arising in contact problems. Three different numerical treatments for temporal disc...
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Article
Numerical approximation of an electro-elastic frictional contact problem modeled by hemivariational inequality
In this paper, an electro-elastic frictional contact problem is studied numerically as a hemivariational inequality. Convergence of the Galerkin approximation for the hemivariational inequality is proved, and ...
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Article
Uncertainty and Sensitivity Analysis of In-Situ Stress in Deep Inclined Strata
In the development process of oil and gas field, the dip angles generally exist in deep strata, and the variability and dispersion in the mechanics parameters of the formation make the computation model of in ...
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Article
Virtual Element Method for an Elliptic Hemivariational Inequality with Applications to Contact Mechanics
This paper is on the numerical solution of an elliptic hemivariational inequality by the virtual element method. We introduce an abstract framework of the numerical method and provide an error analysis. We the...
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Article
Convergence analysis of penalty based numerical methods for constrained inequality problems
This paper presents a general convergence theory of penalty based numerical methods for elliptic constrained inequality problems, including variational inequalities, hemivariational inequalities, and variation...
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Article
Virtual Element Methods for Elliptic Variational Inequalities of the Second Kind
This paper is devoted to virtual element methods for solving elliptic variational inequalities (EVIs) of the second kind. First, a general framework is provided for the numerical solution of the EVIs and for i...
