• 한국전산유체공학회:학술대회논문집
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• 1997.10a
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• pp.49-54
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• 1997

Rice's monotone streamline upwind finite element method, which was proposed to treat convection-dominated flows, is applied to the linear triangular element. An alignment technique of unstructured grids with given velocity fields is used to prevent the interpolation error produced in evaluating the convection term in the upwind method. The alignment of grids is accomplished by optimizing a target function defined with the inner-product of a properly chosen side vector in the element with the velocity field. Two pure advection problems are considered to demonstrate the superiorities of the present approach in solving the convection-dominated flow on the unstructured grid. Solutions obtained with aligned grids are much closer to the exact solutions than those with initial regular grids. The capability of the present approach in predicting the appearance of the secondary vortex in the laminar confined jet impingement is shown by comparing streamlines to those produced by SIMPLE on a highly stretched grid toward the impingement plate.

• Nonlinear Functional Analysis and Applications
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• v.27 no.2
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• pp.381-403
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• 2022

The main goal of this research is to solve variational inequalities involving quasimonotone operators in infinite-dimensional real Hilbert spaces numerically. The main advantage of these iterative schemes is the ease with which step size rules can be designed based on an operator explanation rather than the Lipschitz constant or another line search method. The proposed iterative schemes use a monotone and non-monotone step size strategy based on mapping (operator) knowledge as a replacement for the Lipschitz constant or another line search method. The strong convergences have been demonstrated to correspond well to the proposed methods and to settle certain control specification conditions. Finally, we propose some numerical experiments to assess the effectiveness and influence of iterative methods.

• Journal of the Korean Society for Industrial and Applied Mathematics
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• v.2 no.1
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• pp.61-71
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• 1998

Petrov-Galerkin method is investigated for solving nonlinear systems without monotonicity. A monotone iteration is provided for solving the resulting problem. The numerical results show the advantages of such method.

• Journal of applied mathematics & informatics
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• v.29 no.1_2
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• pp.191-200
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• 2011

This paper deals with second order differential equations with different deviated arguments ${\alpha}$(t) and ${\beta}$(t, ${\mu}$(t)). We investigate the existence of solutions of such problems with nonlinear mixed boundary conditions. To obtain corresponding results we apply the monotone iterative technique and the lower-upper solutions method. Two examples demonstrate the application of our results.

• East Asian mathematical journal
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• v.26 no.1
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• pp.25-38
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• 2010

In this paper, we introduce a hybrid iterative method for finding a common element of the set of solutions of a mixed equilibrium problem, the set of common mixed points of finitely many nonexpansive mappings and the set of solutions of the variational inequality for an inverse strongly monotone mapping in a Hilbert space. We show that the iterative sequences converge strongly to a common element of the three sets. The results extended and improved the corresponding results of L.-C.Ceng and J.-C.Yao.

• Nonlinear Functional Analysis and Applications
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• v.27 no.1
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• pp.121-140
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• 2022

In this paper, we study the strong convergence of new methods for solving classical variational inequalities problems involving semistrictly quasimonotone and Lipschitz-continuous operators in a real Hilbert space. Three proposed methods are based on Tseng's extragradient method and use a simple self-adaptive step size rule that is independent of the Lipschitz constant. The step size rule is built around two techniques: the monotone and the non-monotone step size rule. We establish strong convergence theorems for the proposed methods that do not require any additional projections or knowledge of an involved operator's Lipschitz constant. Finally, we present some numerical experiments that demonstrate the efficiency and advantages of the proposed methods.

• 한국전산유체공학회:학술대회논문집
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• 2003.10a
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• pp.178-178
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• 2003

• Nonlinear Functional Analysis and Applications
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• v.29 no.1
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• pp.131-164
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• 2024

In this research, we study a modified relaxed Tseng method with a single projection approach for solving common solution to a fixed point problem involving finite family of τ-demimetric operators and a quasi-monotone variational inequalities in real Hilbert spaces with alternating inertial extrapolation steps and adaptive non-monotonic step sizes. Under some appropriate conditions that are imposed on the parameters, the weak and linear convergence results of the proposed iterative scheme are established. Furthermore, we present some numerical examples and application of our proposed methods in comparison with other existing iterative methods. In order to show the practical applicability of our method to real word problems, we show that our algorithm has better restoration efficiency than many well known methods in image restoration problem. Our proposed iterative method generalizes and extends many existing methods in the literature.

• Fashion & Textile Research Journal
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• v.12 no.1
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• pp.10-20
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• 2010

In this research, by yearly subdividing and analyzing the characteristic of the embroidery design according to the garment item with a season the high value added is raised for a differencing and high performance conversion of the high fashion design and there is an object. In 2004, when the total 474 chapter was selected in S/S season till F/W season in 2008 and the embroidery design characteristic according to the kind of an item the analyzing method and statistical method was used. As to the first, and the embroidery design in which it follows of the garment item showed the stylized, and the plant motive of the geometric pattern by an edge and composite arrangement in an one-piece and blouse with the satin stitch and cut work technique. A monotone and the bright tone were used. The second, and the season different difference, the out line stitch, an applique, and the cut work technique S/S season were a feature. A plant, and the animal motive were expressed as the front arrangement and the monotone of the achromatic color appeared. As to F/W season, the long short stitch and satin stitch techniques were with the characteristic profit. The abstract motive showed up as the edge alignment and composite arrangement. And the plain tone and the monotone of the chromatics combination color are used. In the third, and the chronological difference, an applique the embroidery technique showed up in the out line stitch, and 2007 years in 2004 years and 2006 years. And the sentence motive of the animal, and the abstract motive the embroidery motive are embossed in 2005 years and 2006 years in 2008 years.

• Communications of the Korean Mathematical Society
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• v.22 no.2
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• pp.247-258
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• 2007

In this paper a new class of system of generalized nonlinear variational inequalities involving strongly monotone, relaxed co coercive and relaxed generalized monotone mappings in Hilbert spaces is introduced and studied. Based on the projection method, an equivalence between the system of generalized nonlinear variational inequalities and the fixed point problem is established, which is used to suggest some new iterative algorithms for computing approximate solutions of the system of generalized nonlinear variational inequalities. A few sufficient conditions which ensure the existence and uniqueness of solution of the system of generalized nonlinear variational inequalities are given, and the convergence analysis of iterative sequences generated by the algorithms are also discussed.