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Journal articles on the topic 'Vertex centered'

Author: Grafiati

Published: 4 June 2021

Last updated: 17 February 2022

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1

Khalil, M., and P. Wesseling. "Vertex-centered and cell-centered multigrid for interface problems." Journal of Computational Physics 98, no. 1 (1992): 1–10. http://dx.doi.org/10.1016/0021-9991(92)90168-x.

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2

Prevost, Jean H. "Two-way coupling in reservoir-geomechanical models: vertex-centered Galerkin geomechanical model cell-centered and vertex-centered finite volume reservoir models." International Journal for Numerical Methods in Engineering 98, no. 8 (2014): 612–24. http://dx.doi.org/10.1002/nme.4657.

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3

Berggren, Martin. "A vertex-centered, dual discontinuous Galerkin method." Journal of Computational and Applied Mathematics 192, no. 1 (2006): 175–81. http://dx.doi.org/10.1016/j.cam.2005.04.057.

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4

Jayasekaran, C., and V. Prabavathy. "Duplication self vertex switchings in self centered graphs." Malaya Journal of Matematik S, no. 1 (2020): 556–59. http://dx.doi.org/10.26637/mjm0s20/0106.

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5

Li, Ai-Min, Yi Wang, Peter Y. Zavalij, Fu Chen, Alvaro Muñoz-Castro, and Bryan W. Eichhorn. "[Cp*RuPb11]3− and [Cu@Cp*RuPb11]2−: centered and non-centered transition-metal substituted zintl icosahedra." Chemical Communications 56, no. 74 (2020): 10859–62. http://dx.doi.org/10.1039/d0cc03656k.

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Cluster anions [Cp*RuPb<sub>11</sub>]<sup>3−</sup> (1) and [Cu@Cp*RuPb<sub>11</sub>]<sup>2−</sup> (2) represent the first vertex-substituted zintl icosahedra and 1 is the first non-centered zintl icosahedron isolated in the condensed phase.

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6

Erath, Christoph, and Dirk Praetorius. "Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates." SIAM Journal on Numerical Analysis 54, no. 4 (2016): 2228–55. http://dx.doi.org/10.1137/15m1036701.

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7

Manzoor, Shahid, Michael G. Edwards, Ali H. Dogru, and Tareq M. Al-Shaalan. "Interior boundary-aligned unstructured grid generation and cell-centered versus vertex-centered CVD-MPFA performance." Computational Geosciences 22, no. 1 (2017): 195–230. http://dx.doi.org/10.1007/s10596-017-9686-4.

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8

Soler, Vincent, Antonio Benito, Pauline Soler, et al. "A Randomized Comparison of Pupil-Centered Versus Vertex-Centered Ablation in LASIK Correction of Hyperopia." American Journal of Ophthalmology 152, no. 4 (2011): 591–99. http://dx.doi.org/10.1016/j.ajo.2011.03.034.

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9

de Ortueta, Diego, and Samuel Arba-Mosquera. "A Randomized Comparison of Pupil-Centered Versus Vertex-Centered Ablation in LASIK Correction of Hyperopia." American Journal of Ophthalmology 153, no. 4 (2012): 775–76. http://dx.doi.org/10.1016/j.ajo.2011.12.008.

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10

Yang, Di, and Zhiming Gao. "A linearity-preserving vertex interpolation algorithm for cell-centered finite volume approximations of anisotropic diffusion problems." International Journal of Numerical Methods for Heat & Fluid Flow 30, no. 3 (2019): 1167–88. http://dx.doi.org/10.1108/hff-04-2019-0354.

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Purpose A finite volume scheme for diffusion equations on non-rectangular meshes is proposed in [Deyuan Li, Hongshou Shui, Minjun Tang, J. Numer. Meth. Comput. Appl., 1(4)(1980)217–224 (in Chinese)], which is the so-called nine point scheme on structured quadrilateral meshes. The scheme has both cell-centered unknowns and vertex unknowns which are usually expressed as a linear weighted interpolation of the cell-centered unknowns. The critical factor to obtain the optimal accuracy for the scheme is the reconstruction of vertex unknowns. However, when the mesh deformation is severe or the diffus

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11

Yang, H. Q., and Robert E. Harris. "Development of Vertex-Centered High-Order Schemes and Implementation in FUN3D." AIAA Journal 54, no. 12 (2016): 3742–60. http://dx.doi.org/10.2514/1.j054561.

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12

Viozat, C., C. Held, K. Mer, and A. Dervieux. "On vertex-centered unstructured finite-volume methods for stretched anisotropic triangulations." Computer Methods in Applied Mechanics and Engineering 190, no. 35-36 (2001): 4733–66. http://dx.doi.org/10.1016/s0045-7825(00)00345-5.

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13

Bakhvalov, Pavel Alexeevisch, and Andrey Vladimirovich Gorobets. "On effective parallel implementation of vertex-centered schemes on sliding meshes." Keldysh Institute Preprints, no. 277 (2018): 1–16. http://dx.doi.org/10.20948/prepr-2018-277.

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14

Chou, So-Hsiang, and Do Y. Kwak. "Multigrid algorithms for a vertex-centered covolume method for elliptic problems." Numerische Mathematik 90, no. 3 (2002): 441–58. http://dx.doi.org/10.1007/s002110100288.

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15

Manzoor, Shahid, Michael G. Edwards, Ali H. Dogru, and Tareq M. Al-Shaalan. "Correction to: Interior boundary-aligned unstructured grid generation and cell-centered versus vertex-centered CVD-MPFA performance." Computational Geosciences 22, no. 1 (2017): 231. http://dx.doi.org/10.1007/s10596-017-9699-z.

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16

Singh, Priyanka, and Pratima Panigrahi. "On Self-Centeredness of Product of Graphs." International Journal of Combinatorics 2016 (August 7, 2016): 1–4. http://dx.doi.org/10.1155/2016/2508156.

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A graph G is said to be a self-centered graph if the eccentricity of every vertex of the graph is the same. In other words, a graph is a self-centered graph if radius and diameter of the graph are equal. In this paper, self-centeredness of strong product, co-normal product, and lexicographic product of graphs is studied in detail. The necessary and sufficient conditions for these products of graphs to be a self-centered graph are also discussed. The distance between any two vertices in the co-normal product of a finite number of graphs is also computed analytically.

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17

Ferguson, W. J., and I. W. Turner. "STUDY OF TWO-DIMENSIONAL CELL-CENTERED AND VERTEX-CENTERED CONTROL-VOLUME SCHEMES APPLIED TO HIGH-TEMPERATURE TIMBER DRYING." Numerical Heat Transfer, Part B: Fundamentals 27, no. 4 (1995): 393–415. http://dx.doi.org/10.1080/10407799508914964.

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18

De Santis, Filomena, Luisa Gargano, Mikael Hammar, Alberto Negro, and Ugo Vaccaro. "Spider Covers and Their Applications." ISRN Discrete Mathematics 2012 (November 28, 2012): 1–11. http://dx.doi.org/10.5402/2012/347430.

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We introduce two new combinatorial optimization problems: the Maximum Spider Problem and the Spider Cover Problem; we study their approximability and illustrate their applications. In these problems we are given a directed graph , a distinguished vertex , and a family D of subsets of vertices. A spider centered at vertex s is a collection of arc-disjoint paths all starting at s but ending into pairwise distinct vertices. We say that a spider covers a subset of vertices X if at least one of the endpoints of the paths constituting the spider other than s belongs to X. In the Maximum Spider Probl

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19

Swanson, R. C., and R. Radespiel. "Cell centered and cell vertex multigrid schemes for the Navier-Stokes equations." AIAA Journal 29, no. 5 (1991): 697–703. http://dx.doi.org/10.2514/3.10643.

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20

Wu, Jiming. "Vertex-Centered Linearity-Preserving Schemes for Nonlinear Parabolic Problems on Polygonal Grids." Journal of Scientific Computing 71, no. 2 (2016): 499–524. http://dx.doi.org/10.1007/s10915-016-0309-3.

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21

Quenjel, El Houssaine. "Enhanced positive vertex-centered finite volume scheme for anisotropic convection-diffusion equations." ESAIM: Mathematical Modelling and Numerical Analysis 54, no. 2 (2020): 591–618. http://dx.doi.org/10.1051/m2an/2019075.

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This article is about the development and the analysis of an enhanced positive control volume finite element scheme for degenerate convection-diffusion type problems. The proposed scheme involves only vertex unknowns and features anisotropic fields. The novelty of the approach is to devise a reliable upwind approximation with respect to flux-like functions for the elliptic term. Then, it is shown that the discrete solution remains nonnegative. Under general assumptions on the data and the mesh, the convergence of the numerical scheme is established owing to a recent compactness argument. The e

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22

Wu, Jiming, Zhiming Gao, and Zihuan Dai. "A vertex-centered linearity-preserving discretization of diffusion problems on polygonal meshes." International Journal for Numerical Methods in Fluids 81, no. 3 (2015): 131–50. http://dx.doi.org/10.1002/fld.4178.

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23

Li, Zong Zhe, Zheng Hua Wang, Wei Cao, and Lu Yao. "A New Agglomeration Method for Isotropic Unstructured Grids." Applied Mechanics and Materials 241-244 (December 2012): 2957–61. http://dx.doi.org/10.4028/www.scientific.net/amm.241-244.2957.

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A robust aspect ratio based agglomeration algorithm to generate high quality coarse grids for unstructured grid is proposed in this paper. The algorithm focuses on multigrid techniques for the numerical solution of Euler equations, which conform to cell-centered finite volume scheme, combines isotropic vertex-based agglomeration to yield large increases in convergence rates. Aspect ratio is used as fusing weight to capture the degree of cell convexity and give an indication of cell quality, agglomerating isotropic cells sharing a common vertex. Consequently, we conduct agglomeration multigrid

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24

Mulloor, John Joy, and V. Sangeetha. "Restrained geodetic domination in graphs." Discrete Mathematics, Algorithms and Applications 12, no. 06 (2020): 2050084. http://dx.doi.org/10.1142/s1793830920500846.

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Let [Formula: see text] be a graph with edge set [Formula: see text] and vertex set [Formula: see text]. For a connected graph [Formula: see text], a vertex set [Formula: see text] of [Formula: see text] is said to be a geodetic set if every vertex in [Formula: see text] lies in a shortest path between any pair of vertices in [Formula: see text]. If the geodetic set [Formula: see text] is dominating, then [Formula: see text] is geodetic dominating set. A vertex set [Formula: see text] of [Formula: see text] is said to be a restrained geodetic dominating set if [Formula: see text] is geodetic,

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25

Kraposhin, V. S., N. D. Simich-Lafitskiy, A. L. Talis, A. A. Everstov, and M. Yu Semenov. "Formation of the cementite crystal in austenite by transformation of triangulated polyhedra." Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials 75, no. 3 (2019): 325–32. http://dx.doi.org/10.1107/s205252061900324x.

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A mechanism is proposed for the nucleus formation at the mutual transformation of austenite and cementite crystals. The mechanism is founded on the interpretation of the considered structures as crystallographic tiling onto non-intersecting rods of triangulated polyhedra. A 15-vertex fragment of this linear substructure of austenite (cementite) can be transformed by diagonal flipping in a rhombus consisting of two adjacent triangular faces into a 15-vertex fragment of cementite (austenite). In the case of the mutual austenite–cementite transformation, the mutual orientation of the initial and

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26

Huilgol, Medha Itagi. "Distance Degree Regular Graphs and Distance Degree Injective Graphs: An Overview." Journal of Discrete Mathematics 2014 (December 8, 2014): 1–12. http://dx.doi.org/10.1155/2014/358792.

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The distance d(v,u) from a vertex v of G to a vertex u is the length of shortest v to u path. The eccentricity ev of v is the distance to a farthest vertex from v. If d(v,u) = e(v), (u ≠ v), we say that u is an eccentric vertex of v. The radius rad(G) is the minimum eccentricity of the vertices, whereas the diameter diam(G) is the maximum eccentricity. A vertex v is a central vertex if e(v) = rad(G), and a vertex is a peripheral vertex if e(v) = diam(G). A graph is self-centered if every vertex has the same eccentricity; that is, rad(G) = diam(G). The distance degree sequence (dds) of a vertex

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27

Swanson, R. C., and R. Radespiel. "Errata: Cell Centered and Cell Vertex Multigrid Schemes for the Navier-Stokes Equations." AIAA Journal 29, no. 6 (1991): 1025c. http://dx.doi.org/10.2514/3.59950.

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28

Zhang, ZhiMin, and QingSong Zou. "Some recent advances on vertex centered finite volume element methods for elliptic equations." Science China Mathematics 56, no. 12 (2013): 2507–22. http://dx.doi.org/10.1007/s11425-013-4740-8.

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29

Vogel, Andreas, Jinchao Xu, and Gabriel Wittum. "A generalization of the vertex-centered finite volume scheme to arbitrary high order." Computing and Visualization in Science 13, no. 5 (2010): 221–28. http://dx.doi.org/10.1007/s00791-010-0139-z.

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30

BERTOLAZZI, ENRICO, and GIANMARCO MANZINI. "ON VERTEX RECONSTRUCTIONS FOR CELL-CENTERED FINITE VOLUME APPROXIMATIONS OF 2D ANISOTROPIC DIFFUSION PROBLEMS." Mathematical Models and Methods in Applied Sciences 17, no. 01 (2007): 1–32. http://dx.doi.org/10.1142/s0218202507001814.

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The accuracy of the diamond scheme is experimentally investigated for anisotropic diffusion problems in two space dimensions. This finite volume formulation is cell-centered on unstructured triangulations and the numerical method approximates the cell averages of the solution by a suitable discretization of the flux balance at cell boundaries. The key ingredient that allows the method to achieve second-order accuracy is the reconstruction of vertex values from cell averages. For this purpose, we review several techniques from the literature and propose a new variant of the reconstruction algor

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31

Reinstein, Dan Z., Timothy J. Archer, and Marine Gobbe. "Is Topography-guided Ablation Profile Centered on the Corneal Vertex Better Than Wavefront-guided Ablation Profile Centered on the Entrance Pupil?" Journal of Refractive Surgery 28, no. 2 (2011): 139–43. http://dx.doi.org/10.3928/1081597x-20111115-01.

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32

Ohlberger, Mario. "A posteriorierror estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations." ESAIM: Mathematical Modelling and Numerical Analysis 35, no. 2 (2001): 355–87. http://dx.doi.org/10.1051/m2an:2001119.

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33

Mishra, Siddhartha, and Eitan Tadmor. "Constraint Preserving Schemes Using Potential-Based Fluxes I. Multidimensional Transport Equations." Communications in Computational Physics 9, no. 3 (2011): 688–710. http://dx.doi.org/10.4208/cicp.030909.091109s.

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AbstractWe consider constraint preserving multidimensional evolution equations. A prototypical example is provided by the magnetic induction equation of plasma physics. The constraint of interest is the divergence of the magnetic field. We design finite volume schemes which approximate these equations in a stable manner and preserve a discrete version of the constraint. The schemes are based on reformulating standard edge centered finite volume fluxes in terms of vertex centered potentials. The potential-based approach provides a general framework for faithful discretizations of constraint tra

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34

Chen, Long, and Ming Wang. "Cell Conservative Flux Recovery and A Posteriori Error Estimate of Vertex-Centered Finite Volume Methods." Advances in Applied Mathematics and Mechanics 5, no. 05 (2013): 705–27. http://dx.doi.org/10.4208/aamm.12-m1279.

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AbstractA cell conservative flux recovery technique is developed here for vertex-centered finite volume methods of second order elliptic equations. It is based on solving a local Neumann problem on each control volume using mixed finite element methods. The recovered flux is used to construct a constant freea posteriorierror estimator which is proven to be reliable and efficient. Some numerical tests are presented to confirm the theoretical results. Our method works for general order finite volume methods and the recovery-based and residual-baseda posteriorierror estimators is the first result

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35

Erath, Christoph, and Dirk Praetorius. "Adaptive vertex-centered finite volume methods for general second-order linear elliptic partial differential equations." IMA Journal of Numerical Analysis 39, no. 2 (2018): 983–1008. http://dx.doi.org/10.1093/imanum/dry006.

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36

Su, Shuai, Qiannan Dong, and Jiming Wu. "A vertex‐centered and positivity‐preserving scheme for anisotropic diffusion equations on general polyhedral meshes." Mathematical Methods in the Applied Sciences 42, no. 1 (2018): 59–84. http://dx.doi.org/10.1002/mma.5324.

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37

Asouti, V. G., X. S. Trompoukis, I. C. Kampolis, and K. C. Giannakoglou. "Unsteady CFD computations using vertex-centered finite volumes for unstructured grids on Graphics Processing Units." International Journal for Numerical Methods in Fluids 67, no. 2 (2010): 232–46. http://dx.doi.org/10.1002/fld.2352.

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38

Zhang, Zhuo, Zhi-yao Song, Jun Kong, and Di Hu. "A newr-ratio formulation for TVD schemes for vertex-centered FVM on an unstructured mesh." International Journal for Numerical Methods in Fluids 81, no. 12 (2015): 741–64. http://dx.doi.org/10.1002/fld.4206.

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39

Uţă, M. M., and R. B. King. "Manganese-centered ten-vertex germanium clusters: the strong field Ge10 ligand encapsulating a transition metal." Journal of Coordination Chemistry 68, no. 19 (2015): 3485–97. http://dx.doi.org/10.1080/00958972.2015.1073267.

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40

Zhang, Xiaoping, Shuai Su, and Jiming Wu. "A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids." Journal of Computational Physics 344 (September 2017): 419–36. http://dx.doi.org/10.1016/j.jcp.2017.04.070.

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41

Jahandari, Hormoz, and Colin G. Farquharson. "Forward modeling of gravity data using finite-volume and finite-element methods on unstructured grids." GEOPHYSICS 78, no. 3 (2013): G69—G80. http://dx.doi.org/10.1190/geo2012-0246.1.

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Minimum-structure inversion is one of the most effective tools for the inversion of gravity data. However, the standard Gauss-Newton algorithms that are commonly used for the minimization procedure and that employ forward solvers based on analytic formulas require large memory storage for the formation and inversion of the involved matrices. An alternative to the analytical solvers are numerical ones that result in sparse matrices. This sparsity suits gradient-based minimization methods that avoid the explicit formation of the inversion matrices and that solve the system of equations using mem

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42

King, R. Bruce, Ioan Silaghi-Dumitrescu, and Matei-Maria Uţă. "Polyhedral Structures with Three-, Four-, and Five Fold Symmetry in Metal-Centered Ten-Vertex Germanium Clusters." Chemistry - A European Journal 14, no. 15 (2008): 4542–50. http://dx.doi.org/10.1002/chem.200701582.

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43

Zhang, Zhimin, and Qingsong Zou. "Vertex-centered finite volume schemes of any order over quadrilateral meshes for elliptic boundary value problems." Numerische Mathematik 130, no. 2 (2014): 363–93. http://dx.doi.org/10.1007/s00211-014-0664-7.

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44

King, R. B., I. Silaghi-Dumitrescu, and M. M. Uţă. "The Unique Palladium-Centered Pentagonal Antiprismatic Cationic Bismuth Cluster: A Comparison of Related Metal-Centered 10-Vertex Pnictogen Cluster Structures by Density Functional Theory." Inorganic Chemistry 48, no. 17 (2009): 8508–14. http://dx.doi.org/10.1021/ic901293h.

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45

Schreiber, Tomasz, and Christoph Thäle. "Second-order properties and central limit theory for the vertex process of iteration infinitely divisible and iteration stable random tessellations in the plane." Advances in Applied Probability 42, no. 04 (2010): 913–35. http://dx.doi.org/10.1017/s0001867800004456.

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The point process of vertices of an iteration infinitely divisible or, more specifically, of an iteration stable random tessellation in the Euclidean plane is considered. We explicitly determine its covariance measure and its pair-correlation function, as well as the cross-covariance measure and the cross-correlation function of the vertex point process and the random length measure in the general nonstationary regime. We also give special formulae in the stationary and isotropic setting. Exact formulae are given for vertex count variances in compact and convex sampling windows, and asymptotic

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46

Schreiber, Tomasz, and Christoph Thäle. "Second-order properties and central limit theory for the vertex process of iteration infinitely divisible and iteration stable random tessellations in the plane." Advances in Applied Probability 42, no. 4 (2010): 913–35. http://dx.doi.org/10.1239/aap/1293113144.

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The point process of vertices of an iteration infinitely divisible or, more specifically, of an iteration stable random tessellation in the Euclidean plane is considered. We explicitly determine its covariance measure and its pair-correlation function, as well as the cross-covariance measure and the cross-correlation function of the vertex point process and the random length measure in the general nonstationary regime. We also give special formulae in the stationary and isotropic setting. Exact formulae are given for vertex count variances in compact and convex sampling windows, and asymptotic

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47

Lai, Xiang, Zhiqiang Sheng, and Guangwei Yuan. "Monotone Finite Volume Scheme for Three Dimensional Diffusion Equation on Tetrahedral Meshes." Communications in Computational Physics 21, no. 1 (2016): 162–81. http://dx.doi.org/10.4208/cicp.220415.090516a.

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AbstractWe construct a nonlinear monotone finite volume scheme for three-dimensional diffusion equation on tetrahedral meshes. Since it is crucial important to eliminate the vertex unknowns in the construction of the scheme, we present a new efficient eliminating method. The scheme has only cell-centered unknowns and can deal with discontinuous or tensor diffusion coefficient problems on distorted meshes rigorously. The numerical results illustrate that the resulting scheme can preserve positivity on distorted tetrahedral meshes, and also show that our scheme appears to be approximate second-o

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48

BERTOLAZZI, ENRICO, and GIANMARCO MANZINI. "A CELL-CENTERED SECOND-ORDER ACCURATE FINITE VOLUME METHOD FOR CONVECTION–DIFFUSION PROBLEMS ON UNSTRUCTURED MESHES." Mathematical Models and Methods in Applied Sciences 14, no. 08 (2004): 1235–60. http://dx.doi.org/10.1142/s0218202504003611.

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A MUSCL-like cell-centered finite volume method is proposed to approximate the solution of multi-dimensional steady advection–diffusion equations. The second-order accuracy is provided by an appropriate definition of the diffusive and advective numerical fluxes. The method is based on a least squares reconstruction of the vertex values from cell averages. The slope limiter, which is required to prevent the formation and growth of spurious numerical oscillations, is designed to guarantee that the discrete solution of the nonlinear scheme exists. Several theoretical issues regarding the solvabil

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49

Gao, Wei, Ru-Xun Liu, and Hong Li. "A hybrid vertex-centered finite volume/element method for viscous incompressible flows on non-staggered unstructured meshes." Acta Mechanica Sinica 28, no. 2 (2012): 324–34. http://dx.doi.org/10.1007/s10409-012-0038-2.

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50

Cancès, Clément, Iuliu Sorin Pop, and Martin Vohralík. "An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow." Mathematics of Computation 83, no. 285 (2013): 153–88. http://dx.doi.org/10.1090/s0025-5718-2013-02723-8.

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