Relevant bibliographies by topics / Viscosity approximation methods

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Viscosity approximation methods'

Author: Grafiati
Published: 3 June 2025
Last updated: 31 July 2025

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Journal articles on the topic "Viscosity approximation methods"

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Xu, Hong-Kun. "Viscosity approximation methods for nonexpansive mappings." Journal of Mathematical Analysis and Applications 298, no. 1 (2004): 279–91. http://dx.doi.org/10.1016/j.jmaa.2004.04.059.

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Frimpong, K., and E. Prempeh. "Viscosity Approximation Methods in Reflexive Banach Spaces." British Journal of Mathematics & Computer Science 22, no. 2 (2017): 1–11. http://dx.doi.org/10.9734/bjmcs/2017/33396.

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Song, Yisheng, and Rudong Chen. "Viscosity approximation methods for nonexpansive nonself-mappings." Journal of Mathematical Analysis and Applications 321, no. 1 (2006): 316–26. http://dx.doi.org/10.1016/j.jmaa.2005.07.025.

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Wu, XianBing, and LeiNa Zhao. "Viscosity Approximation Methods for Multivalued Nonexpansive Mappings." Mediterranean Journal of Mathematics 13, no. 5 (2015): 2645–57. http://dx.doi.org/10.1007/s00009-015-0644-x.

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Lou, Jian, Li-juan Zhang, and Zhen He. "Viscosity approximation methods for asymptotically nonexpansive mappings." Applied Mathematics and Computation 203, no. 1 (2008): 171–77. http://dx.doi.org/10.1016/j.amc.2008.04.018.

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Moudafi, A. "Viscosity Approximation Methods for Fixed-Points Problems." Journal of Mathematical Analysis and Applications 241, no. 1 (2000): 46–55. http://dx.doi.org/10.1006/jmaa.1999.6615.

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K., Piesie Frimpong, and Prempeh E. "Viscosity Approximation Methods in Reflexive Banach Spaces." British Journal of Mathematics & Computer Science 22, no. 2 (2017): 1–11. https://doi.org/10.9734/BJMCS/2017/33396.

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In this paper, we study viscosity approximation methods in reflexive Banach spaces. Let X be a reflexive Banach space which admits a weakly sequentially continuous duality mapping <em>j : X → X<sup>*</sup>, C</em> a nonempty closed convex subset of <em>X, h<sub>n</sub></em>, where n ≥1 a sequence of contractions on C and Tn, n = 1; 2; 3; N, for N 2 N, a nite family of commuting nonexpansive mappings on C. We show that under appropriate conditions on n the explicit iterative sequence n de ned by n+1 = nhn(n) + (1 􀀀 n)Tnn; n 1; 1 2 C where n 2 (0; 1) converges strongly to a common xed point 2 NT
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Ceng, Lu-Chuan, Ching-Feng Wen, and Chin-Tzong Pang. "Hierarchical Fixed Point Problems in Uniformly Smooth Banach Spaces." Abstract and Applied Analysis 2014 (2014): 1–15. http://dx.doi.org/10.1155/2014/173461.

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We propose some relaxed implicit and explicit viscosity approximation methods for hierarchical fixed point problems for a countable family of nonexpansive mappings in uniformly smooth Banach spaces. These relaxed viscosity approximation methods are based on the well-known viscosity approximation method and hybrid steepest-descent method. We obtain some strong convergence theorems under mild conditions.
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Kumari, Mandeep, and Renu Chugh. "Strong convergence for nonexpansive mappings by viscosity approximation methods in Hadamard manifolds." International Journal of Applied Mathematical Research 4, no. 2 (2015): 299. http://dx.doi.org/10.14419/ijamr.v4i2.4239.

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&lt;p&gt;In 2010, Victoria Martin Marquez studied a nonexpansive mapping in Hadamard manifolds using Viscosity approximation method. Our goal in this paper is to study the strong convergence of the Viscosity approximation method in Hadamard manifolds. Our results improve and extend the recent research in the framework of Hadamard manifolds.&lt;/p&gt;
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Aoyama, Koji, and Yasunori Kimura. "VISCOSITY APPROXIMATION METHODS WITH A SEQUENCE OF CONTRACTIONS." Cubo (Temuco) 16, no. 1 (2014): 09–20. http://dx.doi.org/10.4067/s0719-06462014000100002.

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Dissertations / Theses on the topic "Viscosity approximation methods"

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Sjösten, William, and Victor Vadling. "Finite Element Approximations of 2D Incompressible Navier-Stokes Equations Using Residual Viscosity." Thesis, Uppsala universitet, Institutionen för teknikvetenskaper, 2018. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-354590.

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Chorin’s method, Incremental Pressure Correction Scheme (IPCS) and Crank-Nicolson’s method (CN) are three numerical methods that were investigated in this study. These methods were here used for solving the incompressible Navier-Stokes equations, which describe the motion of an incompressible fluid, in three different benchmark problems. The methods were stabilized using residual based artificial viscosity, which was introduced to avoid instability. The methods were compared in terms of accuracy and computational time. Furthermore, a theoretical study of adaptivity was made, based on an a post
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Debroux, Noémie. "Mathematical modelling of image processing problems : theoretical studies and applications to joint registration and segmentation." Thesis, Normandie, 2018. http://www.theses.fr/2018NORMIR02/document.

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Dans cette thèse, nous nous proposons d'étudier et de traiter conjointement plusieurs problèmes phares en traitement d'images incluant le recalage d'images qui vise à apparier deux images via une transformation, la segmentation d'images dont le but est de délimiter les contours des objets présents au sein d'une image, et la décomposition d'images intimement liée au débruitage, partitionnant une image en une version plus régulière de celle-ci et sa partie complémentaire oscillante appelée texture, par des approches variationnelles locales et non locales. Les relations étroites existant entre ce
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Huang, Yun-ru, and 黃韻如. "Viscosity Approximation Methods for Generalized Equilibrium Problems and Fixed Point Problems." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/rrwzvc.

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碩士<br>國立中山大學<br>應用數學系研究所<br>96<br>The purpose of this paper is to investigate the problem of finding a common element of the set of solutions of a generalized equilibrium problem (for short, GEP) and the set of fixed points of a nonexpansive mapping in a Hilbert space. First, by using the well-known KKM technique we derive the existence and uniqueness of solutions of the auxiliary problems for the GEP. Second, on account of this result and Nadler''s theorem, we introduce an iterative scheme by the viscosity approximation method for finding a common element of the set of solutions of the GEP an
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Book chapters on the topic "Viscosity approximation methods"

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Zaslavski, Alexander J. "Inexact Viscosity Approximation Methods in Hilbert Spaces." In Developments in Mathematics. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-70710-0_6.

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Dingping, Wu, and Xie Xuping. "Viscosity Approximation Methods for a Finite Family of Nonexpansive Non-Self-Mappings." In Proceedings of the 2012 International Conference on Communication, Electronics and Automation Engineering. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-31698-2_100.

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Öffner, Philipp. "Artificial Viscosity for SBP-FR Methods and the Construction of Fully Discrete Stable Schemes." In Approximation and Stability Properties of Numerical Methods for Hyperbolic Conservation Laws. Springer Fachmedien Wiesbaden, 2023. http://dx.doi.org/10.1007/978-3-658-42620-0_6.

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Popov, I. V., Yu A. Poveshchenko, and S. V. Polyakov. "Construction of Higher-Order Approximation Difference Scheme for Nonlinear Convection-Diffusion Equation Using Adaptive Artificial Viscosity in Case of Two-Phase Filtering Problems." In Finite Difference Methods. Theory and Applications. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-11539-5_45.

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Deepho, Jitsupa, and Poom Kumam. "A Viscosity Approximation Method for the Split Feasibility Problems." In Transactions on Engineering Technologies. Springer Netherlands, 2014. http://dx.doi.org/10.1007/978-94-017-9588-3_6.

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Guermond, J. L., and R. Pasquetti. "Entropy Viscosity Method for High-Order Approximations of Conservation Laws." In Lecture Notes in Computational Science and Engineering. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-15337-2_39.

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Kumam, Poom, Somyot Plubtieng, and Phayap Katchang. "A New Viscosity Cesàro Mean Approximation Method for a General System of Finite Variational Inequalities and Fixed Point Problems in Banach Spaces." In Lecture Notes in Electrical Engineering. Springer Netherlands, 2013. http://dx.doi.org/10.1007/978-94-007-7684-5_29.

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Miyake, Y., K. Tsujimoto, and Y. Kawanishi. "Performance of Eddy-viscosity Models for a Flow with Periodic Pressure Gradient." In Numerical Methods for Fluid Dynamics V. Oxford University PressOxford, 1996. http://dx.doi.org/10.1093/oso/9780198514800.003.0046.

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Abstract Modeling of turbulence is one of the most important problems in computational fluid dynamics of today. Although sharp rise of computer power is extending the possibility of doing turbulent flow prediction with large computational load such as LES, simulations based on Reynolds averaged equations, two-equation models in particular, are major in the practice of engineering. DNS database is a useful tool for validation of turbulence models including the group of k−ϵ c models. But since DNS can be applied only to simple canonical flows, it is needed to examine the validity of turbulence m
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Tadmor, Eitan. "Super-viscosity and spectral approximations of nonlinear conservation laws." In Numerical Methods for Fluid Dynamics. Oxford University PressOxford, 1994. http://dx.doi.org/10.1093/oso/9780198536963.003.0005.

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Abstract Let PN stand for one of the standard spectral projections, such as Fourier, Chebyshev or Legendre. It is well known that such spectral projections, PNu , provide highly accurate approximations for sufficiently smooth u . This superior accuracy is destroyed if u contains discontinuities. Indeed, PNu produces 0(1) Gibbs oscillations in the local neighbourhoods of the discontinuities, and moreover, their global accuracy is deteriorated to first-order.
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Peraire, J., M. Vahdati, and J. Peiró. "The construction and behaviour of some unstructured grid algorithms for compressible flows." In Numerical Methods for Fluid Dynamics. Oxford University PressOxford, 1994. http://dx.doi.org/10.1093/oso/9780198536963.003.0014.

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Abstract The methods currently available for the solution of the equations of compressible flow have traditionally been classified as being of either centered or upwind type. Centered schemes are generally developed from the use of central difference type approximations to derivative operators [1], [2], [3], [4], [5]. Current upwind schemes, on the other hand, employ the solution of a one dimensional Riemann problem in the construction of the discrete form of the governing equations and are computationally more expensive [6], [7], [8], [9], [10]. Frequently, centered schemes rely on the explic
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Conference papers on the topic "Viscosity approximation methods"

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Lin, Qiang. "Random Viscosity Approximation Methods for Nonexpansive Mappings in Banach Spaces." In 2009 International Workshop on Intelligent Systems and Applications. IEEE, 2009. http://dx.doi.org/10.1109/iwisa.2009.5073022.

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Wen, Dao-Jun, and Qian-Fen Gong. "Viscosity Approximation Methods for Asymptotically Nonexpansive Mappings in Banach Spaces." In 2011 International Conference on Intelligent Computation Technology and Automation (ICICTA). IEEE, 2011. http://dx.doi.org/10.1109/icicta.2011.85.

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Serna, Susana, Ilias Kotsireas, Roderick Melnik, and Brian West. "Analysis and numerical approximation of viscosity solutions with shocks: application to the plasma equation." In ADVANCES IN MATHEMATICAL AND COMPUTATIONAL METHODS: ADDRESSING MODERN CHALLENGES OF SCIENCE, TECHNOLOGY, AND SOCIETY. AIP, 2011. http://dx.doi.org/10.1063/1.3663455.

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Conrad, Daniel, Andreas Schneider, and Martin Böhle. "Numerical Investigation of an Extended Propeller Viscosimeter by Means of Lattice Boltzmann Methods." In ASME 2013 Fluids Engineering Division Summer Meeting. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/fedsm2013-16361.

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For the design of mixing and agitation facilities in process engineering it is of central importance to appraise the correct viscosity of fluids. This can be a challenging task when non-Newtonian and/or non-homogeneous fluids need to be processed. Since it is not always possible to analyze them in the classical ways, an propeller viscosimeter approach on the basis of the Rieger-Novak-Method is used. In recent years the Lattice Boltzmann Methods (LBM) are established as an alternative approach to classical computational fluid mechanics methods. The utilization of Cartesian grids avoids the need
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Saasen, Arild, Jan David Ytrehus, and Bjørnar Lund. "Annular Frictional Pressure Losses for Drilling Fluids." In ASME 2020 39th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/omae2020-18709.

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Abstract The most common viscosity models used in the drilling industry are the Bingham, the Power-Law and the Herschel-Bulkley models. In addition, it is common to refer to the low-shear yield-point. The scope of the present paper is to discuss numerical methods applicable for calculating annular frictional pressure losses. The topic of annular frictional pressure loss modelling has been treated in textbooks. None of these couple their models with the selection of viscosity data from measurements at the relevant shear rates. It is earlier shown how rotation of the inner string in an annulus c
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Vetter, Daniel, Thomas Hagemann, and Hubert Schwarze. "Potentials and Limitations of an Extended Approximation Method for Nonlinear Dynamic Journal and Thrust Bearing Forces." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-75662.

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Nonlinear dynamic journal bearing modeling within rotordynamic analyses requires the calculation of the nonlinear bearing forces particularly depending on shaft eccentricity and velocity. The bearing forces can be calculated properly using Reynolds differential equation and mass conserving cavitation algorithms, based for example on Elrod’s cavitation algorithm. This approach achieves high model accuracy and allows the consideration of additional effects like misalignment, variable viscosity and transient local oil distribution in the lubricant film. However, despite rising calculating capacit
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Amador, Carolina, Matthew W. Urban, Shigao Chen, and James F. Greenleaf. "Acoustic Radiation Force Creep and Shear Wave Propagation Method for Elasticity Imaging." In ASME 2012 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/imece2012-87622.

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Elasticity imaging methods have been used to study tissue mechanical properties and have demonstrated that tissue elasticity changes with disease state. Quantitative mechanical properties can be measured in a model independent manner if both shear wave speed and attenuation are known. However, measuring shear wave speed attenuation is challenging in the field of elasticity imaging. Typically, only shear wave speed is measured and rheological models, such as Kelvin-Voigt, Maxwell and Standard Linear Solid, are used to solve for shear viscoelastic complex modulus. Acoustic radiation force has be
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Da Fies, G., D. Peck, M. Dutko, and G. Mishuris. "On Averaging of Toughness Heterogeneity When Modelling Hydraulic Fracture Evolution." In 56th U.S. Rock Mechanics/Geomechanics Symposium. ARMA, 2022. http://dx.doi.org/10.56952/arma-2022-2135.

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ABSTRACT: In this paper we describe various approaches used to capture heterogeneity within the reservoir undergoing hydraulic fracturing treatment and their implication on modelling of fracture propagation. In highly laminated reservoirs with soft and/or weak layers, capturing heterogeneity at an appropriate resolution is the key for successful prediction fracture growth and other crucial treatment parameters. Our focus is on studying several strategies to average fracture toughness and assess their suitability for use in advanced computational methods such as FE/BEM. In practice the well log
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Yang, Jinguang, Yan Liu, Xiaofang Wang, and Hu Wu. "3D Viscous Inverse Design of Turbomachinery Using One-Equation Turbulence Model." In ASME Turbo Expo 2016: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/gt2016-56332.

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Inverse method is a very efficient method in turbomachinery aerodynamic design. It takes blade aerodynamic loading as input, and the blade shape and the flow field are computed when calculation converged. However most current inverse methods model turbulent eddy viscosity by Baldwin-Lomax (BL) model or similar approximation, which does not involve local wall distance as a model parameter. Most one- and two-equation turbulence models are not that case, and local wall distance is needed in turbulent work variable(s) transport equation formulation. The usual wall distance computing procedure is t
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Ouazzi, Abderrahim, Naheed Begum, and Stefan Turek. "Monolithic Finite Element Method for the simulation of thixo-viscoplastic flows." In VI ECCOMAS Young Investigators Conference. Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.12250.

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This talk is concerned with the application of Finite Element Method (FEM) and Newton-Multigrid solver to simulate thixotropic flows.The thixotropy phenomena are introduced to yield stress material by taking into consideration the internal material micro structure using a structure parameter. Firstly, the viscoplastic stress is modified to include the thixotropic stress dependent on the structure parameter. Secondly, an evolution equation for the structure parameter is introduced to induce the time-dependent processof competition between the destruction (breakdown) and the construction (buildu
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