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Journal articles on the topic 'Mesh independence'

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Published: 4 June 2021
Last updated: 8 February 2022

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1

Axelsson, Owe. "On mesh independence and Newton-type methods." Applications of Mathematics 38, no. 4 (1993): 249–65. http://dx.doi.org/10.21136/am.1993.104554.

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2

Allgower, E. L., and K. Böhmer. "Application of the Mesh Independence Principle to Mesh Refinement Strategies." SIAM Journal on Numerical Analysis 24, no. 6 (December 1987): 1335–51. http://dx.doi.org/10.1137/0724086.

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3

Xu, Xinhai, Hao Li, and Yufei Lin. "Mesh–Order Independence in CFD Simulation." IEEE Access 7 (2019): 119069–81. http://dx.doi.org/10.1109/access.2019.2937450.

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4

Weiser, Martin, Anton Schiela, and Peter Deuflhard. "Asymptotic Mesh Independence of Newton's Method Revisited." SIAM Journal on Numerical Analysis 42, no. 5 (January 2005): 1830–45. http://dx.doi.org/10.1137/s0036142903434047.

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5

Adam, Dumitru. "Mesh independence of galerkin approach by preconditioning." International Journal of Computer Mathematics 28, no. 1-4 (January 1989): 227–36. http://dx.doi.org/10.1080/00207168908803742.

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6

Kelley, C. T., J. Bernholc, E. L. Briggs, Steven Hamilton, Lin Lin, and Chao Yang. "Mesh independence of the generalized Davidson algorithm." Journal of Computational Physics 409 (May 2020): 109322. http://dx.doi.org/10.1016/j.jcp.2020.109322.

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7

Balagangadhar, Ramesh, and Joseph C. Slater. "On the Convergence of Nonlinear Modes of a Finite Element Model." Shock and Vibration 15, no. 6 (2008): 655–64. http://dx.doi.org/10.1155/2008/645014.

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Convergence of finite element models is generally realized via observation of mesh independence. In linear systems invariance of linear modes to further mesh refinement is often used to assess mesh independence. These linear models are, however, often coupled with nonlinear elements such as CFD models, nonlinear control systems, or joint dynamics. The introduction of a single nonlinear element can significantly alter the degree of mesh refinement necessary for sufficient model accuracy. Application of nonlinear modal analysis [1,2] illustrates that using linear modal convergence as a measure of mesh quality in the presence of nonlinearities is inadequate. The convergence of the nonlinear normal modes of a simply supported beam modeled using finite elements is examined. A comparison is made to the solution of Boivin, Pierre, and Shaw [3]. Both methods suffer from the need for convergence in power series approximations. However, the finite element modeling method introduces the additional concern of mesh independence, even when the meshing the linear part of the model unless p-type elements are used [4]. The importance of moving to a finite element approach for nonlinear modal analysis is the ability to solve problems of a more complex geometry for which no closed form solution exists. This case study demonstrates that a finite element model solution converges nearly as well as a continuous solution, and presents rough guidelines for the number of expansion terms and elements needed for various levels of solution accuracy. It also demonstrates that modal convergence occurs significantly more slowly in the nonlinear model than in the corresponding linear model. This illustrates that convergence of linear modes may be an inadequate measure of mesh independence when even a small part of a model is nonlinear.
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8

Oliveira, R. A. F., G. H. Justi, and G. C. Lopes. "Grid convergence study of a cyclone separator using different mesh structures." Chemical Industry and Chemical Engineering Quarterly 23, no. 3 (2017): 311–20. http://dx.doi.org/10.2298/ciceq160516044o.

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In a cyclone design, pressure drop and collection efficiency are two important performance parameters to estimate its implementation viability. The optimum design provides higher efficiencies and lower pressure drops. In this paper, a grid independence study was performed to determine the most appropriate mesh to simulate the two-phase flow in a Stairmand cyclone. Computational fluid dynamic (CFD) tools were used to simulate the flow in an Eulerian-Lagrangian approach. Two different mesh structure, one with wall-refinement and the other with regular elements, and several mesh sizes were tested. The grid convergence index (GCI) method was applied to evaluate the result independence. The CFD model results were compared with empirical correlations from bibliography, showing good agreement. The wall-refined mesh with 287 thousand elements obtained errors of 9.8% for collection efficiency and 14.2% for pressure drop, while the same mesh, with regular elements, obtained errors of 8.7% for collection efficiency and 0.01% for pressure drop.
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9

Chirica, I., C. M. Angheluta, S. D. Perijoc, A. I. Hobjilă, and M. Frătita. "Mesh independence of a transient multiphase fluid-solid interaction." Journal of Physics: Conference Series 1297 (September 2019): 012026. http://dx.doi.org/10.1088/1742-6596/1297/1/012026.

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10

Ferng, W. R., and C. T. Kelley. "Mesh Independence of Matrix-Free Methods for Path Following." SIAM Journal on Scientific Computing 21, no. 5 (January 2000): 1835–50. http://dx.doi.org/10.1137/s1064827598339360.

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11

Prakash, Sujata, and C. Ross Ethier. "Requirements for Mesh Resolution in 3D Computational Hemodynamics." Journal of Biomechanical Engineering 123, no. 2 (December 1, 2000): 134–44. http://dx.doi.org/10.1115/1.1351807.

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Computational techniques are widely used for studying large artery hemodynamics. Current trends favor analyzing flow in more anatomically realistic arteries. A significant obstacle to such analyses is generation of computational meshes that accurately resolve both the complex geometry and the physiologically relevant flow features. Here we examine, for a single arterial geometry, how velocity and wall shear stress patterns depend on mesh characteristics. A well-validated Navier-Stokes solver was used to simulate flow in an anatomically realistic human right coronary artery (RCA) using unstructured high-order tetrahedral finite element meshes. Velocities, wall shear stresses (WSS), and wall shear stress gradients were computed on a conventional “high-resolution” mesh series (60,000 to 160,000 velocity nodes) generated with a commercial meshing package. Similar calculations were then performed in a series of meshes generated through an adaptive mesh refinement (AMR) methodology. Mesh-independent velocity fields were not very difficult to obtain for both the conventional and adaptive mesh series. However, wall shear stress fields, and, in particular, wall shear stress gradient fields, were much more difficult to accurately resolve. The conventional (nonadaptive) mesh series did not show a consistent trend towards mesh-independence of WSS results. For the adaptive series, it required approximately 190,000 velocity nodes to reach an r.m.s. error in normalized WSS of less than 10 percent. Achieving mesh-independence in computed WSS fields requires a surprisingly large number of nodes, and is best approached through a systematic solution-adaptive mesh refinement technique. Calculations of WSS, and particularly WSS gradients, show appreciable errors even on meshes that appear to produce mesh-independent velocity fields.
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12

Kelley, C. T., and E. W. Sachs. "Mesh Independence of Newton-like Methods for Infinite Dimensional Problems." Journal of Integral Equations and Applications 3, no. 4 (December 1991): 549–73. http://dx.doi.org/10.1216/jiea/1181075649.

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13

Allgower, E. L., K. Böhmer, F. A. Potra, and W. C. Rheinboldt. "A Mesh-Independence Principle for Operator Equations and Their Discretizations." SIAM Journal on Numerical Analysis 23, no. 1 (February 1986): 160–69. http://dx.doi.org/10.1137/0723011.

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14

Layton, W., and H. W. J. Lenferink. "A Multilevel Mesh Independence Principle for the Navier–Stokes Equations." SIAM Journal on Numerical Analysis 33, no. 1 (February 1996): 17–30. http://dx.doi.org/10.1137/0733002.

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15

Heinkenschloss, Matthias. "Mesh Independence for Nonlinear Least Squares Problems with Norm Constraints." SIAM Journal on Optimization 3, no. 1 (February 1993): 81–117. http://dx.doi.org/10.1137/0803005.

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16

Harewood, F. J., and P. E. McHugh. "Investigation of finite element mesh independence in rate dependent materials." Computational Materials Science 37, no. 4 (October 2006): 442–53. http://dx.doi.org/10.1016/j.commatsci.2005.11.004.

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17

Yu, Jingjing, Fang Liu, L. C. Jiao, Shuyuan Yang, and Xiaowei He. "A Finite Element Mesh Aggregating Approach to Multiple-Source Reconstruction in Bioluminescence Tomography." International Journal of Biomedical Imaging 2011 (2011): 1–12. http://dx.doi.org/10.1155/2011/210428.

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A finite element mesh aggregating approach is presented to reconstruct images of multiple internal bioluminescence sources. Rather than assuming independence between mesh nodes, the proposed reconstruction strategy exploits spatial structure of nodes and aggregation feature of density distribution on the finite element mesh to adaptively determine the number of sources and to improve the quality of reconstructed images. With the proposed strategy integrated in the regularization-based reconstruction process, reconstruction algorithms need no a priori knowledge of source number; even more importantly, they can automatically reconstruct multiple sources that differ greatly in density or power.
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18

Volkwein, S. "Mesh-Independence for an Augmented Lagrangian-SQP Method in Hilbert Spaces." SIAM Journal on Control and Optimization 38, no. 3 (January 2000): 767–85. http://dx.doi.org/10.1137/s0363012998334468.

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19

Popa, Constantin. "Mesh independence principle for nonlinear equations on hilbert spaces by preconditioning." International Journal of Computer Mathematics 69, no. 3-4 (January 1998): 295–318. http://dx.doi.org/10.1080/00207169808804725.

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20

Kelley, C. T., and E. W. Sachs. "Mesh Independence of the Gradient Projection Method for Optimal Control Problems." SIAM Journal on Control and Optimization 30, no. 2 (March 1992): 477–93. http://dx.doi.org/10.1137/0330029.

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21

Inthavong, Kiao, Annicka Chetty, Yidan Shang, and Jiyuan Tu. "Examining mesh independence for flow dynamics in the human nasal cavity." Computers in Biology and Medicine 102 (November 2018): 40–50. http://dx.doi.org/10.1016/j.compbiomed.2018.09.010.

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22

Argyros, Ioannis K. "A mesh-independence principle for operators equations and the Steffensen method." Korean Journal of Computational & Applied Mathematics 4, no. 2 (August 1997): 263–80. http://dx.doi.org/10.1007/bf03014478.

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23

Argyros, Ioannis K., Soham M. Sheth, Rami M. Younis, Á. Alberto Magreñán, and Santhosh George. "Extending the Mesh Independence For Solving Nonlinear Equations Using Restricted Domains." International Journal of Applied and Computational Mathematics 3, S1 (August 8, 2017): 1035–46. http://dx.doi.org/10.1007/s40819-017-0398-1.

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24

Lazarov, B. S., M. Schevenels, and O. Sigmund. "Robust design of large-displacement compliant mechanisms." Mechanical Sciences 2, no. 2 (August 22, 2011): 175–82. http://dx.doi.org/10.5194/ms-2-175-2011.

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Abstract. The aim of this article is to introduce a new topology optimisation formulation for optimal robust design of Micro Electro Mechanical Systems. Mesh independence in topology optimisation is most often ensured by using filtering techniques, which result in transition grey regions difficult to interpret in practical realisations. This problem has been alleviated recently by projection techniques, but these destroy the mesh independence introduced by the filters and result in single node connected hinges. Such features in the design are undesirable as they are not robust with respect to geometric manufacturing errors (such as under/over etching). They can be avoided by optimising for several design realisations which take into account the possible geometry errors. The design variations are modelled with the help of random variables. The proposed stochastic formulation for the design variations results in nearly black and white mechanism designs, robust with respect to uncertainties in the production process, i.e. without any hinges or small details which can create manufacturing difficulties.
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25

Burns, J. A., E. W. Sachs, and L. Zietsman. "Mesh Independence of Kleinman–Newton Iterations for Riccati Equations in Hilbert Space." SIAM Journal on Control and Optimization 47, no. 5 (January 2008): 2663–92. http://dx.doi.org/10.1137/060653962.

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26

Laumen, Manfred. "Newton's Mesh Independence Principle for a Class Of Optimal Shape Design Problems." SIAM Journal on Control and Optimization 37, no. 4 (January 1999): 1070–88. http://dx.doi.org/10.1137/s0363012996303529.

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27

Dontchev, A. L., W. W. Hager, and V. M. Veliov. "Uniform Convergence and Mesh Independence of Newton's Method for Discretized Variational Problems." SIAM Journal on Control and Optimization 39, no. 3 (January 2000): 961–80. http://dx.doi.org/10.1137/s0363012998338570.

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28

Deuflhard, Peter, and Florian A. Potra. "Asymptotic Mesh Independence of Newton–Galerkin Methods via a Refined Mysovskii Theorem." SIAM Journal on Numerical Analysis 29, no. 5 (October 1992): 1395–412. http://dx.doi.org/10.1137/0729080.

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29

Popa, Constantin. "Mesh independence of the condition number of discrete galerkin systems by preconditioning." International Journal of Computer Mathematics 51, no. 1-2 (January 1994): 127–32. http://dx.doi.org/10.1080/00207169408804272.

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30

Volkwein, S. "Mesh-Independence of Lagrange-SQP Methods with Lipschitz-Continuous Lagrange Multiplier Updates." Optimization Methods and Software 17, no. 1 (January 2002): 77–111. http://dx.doi.org/10.1080/10556780290027792.

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31

Argyros, Ioannis K. "A mesh independence principle for perturbed Newton-like methods and their discretizations." Korean Journal of Computational & Applied Mathematics 7, no. 1 (January 2000): 139–59. http://dx.doi.org/10.1007/bf03009933.

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32

Argyros, I. K. "On a mesh-independence principle for operator equations and the secant method." Acta Mathematica Hungarica 60, no. 1-2 (1992): 7–19. http://dx.doi.org/10.1007/bf00051753.

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33

Sornin, D., and K. Saanouni. "About Elastoplastic Nonlocal Formulations with Damage Gradients." International Journal of Damage Mechanics 20, no. 6 (October 12, 2009): 845–75. http://dx.doi.org/10.1177/1056789509343509.

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FEM results of softening materials are well known to show pathological mesh dependency. The main goal of this work is to revisit and propose efficient nonlocal damage gradient enhanced formulations able to avoid mesh dependency in the context of elastoplastic damage models with destination to industrial applications. This formulation is presented and studied for simple tension tests, with various spatial discretizations. Numerical aspects and implementation in ABAQUS-standard environment are discussed. The structure of the nonlocal element needed for those formulations is presented. For a given set of meshes, the ability of the proposed formulation to control the size of the necking zone is studied. In the same time the independence of the global dissipation to the mesh size is checked. Theoretical and practical limits of the proposed approach are highlighted.
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34

Jin, Min, Chunguang Wang, and Pengpeng Wang. "CFD NUMERICAL SIMULATION OF TEMPERATURE AND AIRFLOW DISTRIBUTION IN PIGSTY BASED ON GRID INDEPENDENCE VERIFICATION." INMATEH Vol.61 61, no. 2 (August 31, 2020): 241–50. http://dx.doi.org/10.35633/inmateh-61-27.

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Grid independence verification was implemented to improve the reliability of CFD numerical simulation in pigsty. The effects of four different grid numbers on airflow and temperature simulation of 0.4m, 1.0m and 1.6m heights were compared. The results showed that the third method of mesh generation and the grid numbers about 2.09 million were more suitable for this pigsty model. The average relative error of airflow velocity and temperature between the simulated and the measured alues were 7.1% and 3.8% respectively, the average NMSE were 0.0012 and 0.0066 respectively. Therefore, grid independence verification is of great significance for CFD numerical simulation.
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35

Yazid, Afiq Witri Muhammad, and Nor Azwadi Che Sidik. "Prediction of the Flow around a Surface-Mounted Cube Using Two-Equation Turbulence Models." Applied Mechanics and Materials 315 (April 2013): 438–42. http://dx.doi.org/10.4028/www.scientific.net/amm.315.438.

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The flow around surface-mounted cube under neutral atmospheric boundary layer was simulated using two-equation turbulence models. The accuracy of two-equation turbulence models to model the flow fields were compared against fully documented experimental data. To build low computational cost, mesh refinements were investigated through mesh independence study by means of standard wall functions for the near wall treatment. All the two-equations turbulence models are shown to be underpredict the separation length and overpredict the reattachment length near the cube wall. In particular, the standardk-εturbulent scheme shows good agreement with experimental data of streamwise velocity flow along the symmetry plane behind the cube.
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36

Cifuentes, Oscar Darío Monsalve, Jonathan Graciano Uribe, and Diego Andrés Hincapié Zuluaga. "Numerical Simulation of a Propeller-Type Turbine for In-Pipe Installation." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 83, no. 1 (June 3, 2021): 1–16. http://dx.doi.org/10.37934/arfmts.83.1.116.

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In this work, a 76 mm diameter propeller-type turbine is numerically investigated using a parametric study and computational fluid dynamics. The three-dimensional model of the turbine is modeled using data available in the bibliography. A mesh independence study is carried out utilizing a tetrahedron-based mesh with inflation layers around the turbine blade and the pipe wall. The best efficiency point is determined by the maximum hydraulic efficiency of 64.46 %, at a flow rate of 9.72x10-3 m3/s , a head drop of 1.76 m, and a mechanical power of 107.83 W. Additionally, the dimensionless distance y+, pressure, and velocity contours are shown.
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37

Price, Morgan N., Adam M. Deutschbauer, and Adam P. Arkin. "Four families of folate-independent methionine synthases." PLOS Genetics 17, no. 2 (February 3, 2021): e1009342. http://dx.doi.org/10.1371/journal.pgen.1009342.

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Although most organisms synthesize methionine from homocysteine and methyl folates, some have “core” methionine synthases that lack folate-binding domains and use other methyl donors. In vitro, the characterized core synthases use methylcobalamin as a methyl donor, but in vivo, they probably rely on corrinoid (vitamin B12-binding) proteins. We identified four families of core methionine synthases that are distantly related to each other (under 30% pairwise amino acid identity). From the characterized enzymes, we identified the families MesA, which is found in methanogens, and MesB, which is found in anaerobic bacteria and archaea with the Wood-Ljungdahl pathway. A third uncharacterized family, MesC, is found in anaerobic archaea that have the Wood-Ljungdahl pathway and lack known forms of methionine synthase. We predict that most members of the MesB and MesC families accept methyl groups from the iron-sulfur corrinoid protein of that pathway. The fourth family, MesD, is found only in aerobic bacteria. Using transposon mutants and complementation, we show that MesD does not require 5-methyltetrahydrofolate or cobalamin. Instead, MesD requires an uncharacterized protein family (DUF1852) and oxygen for activity.
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38

Argyros, Ioannis K. "A mesh independence principle for nonlinear equations using newton's method ano nonlinear projections." Proyecciones (Antofagasta) 8/9, no. 16 (1990): 47–63. http://dx.doi.org/10.22199/s07160917.1990.0016.00004.

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39

Aitbayev, Rakhim. "An error analysis and the mesh independence principle for a nonlinear collocation problem." Numerical Methods for Partial Differential Equations 22, no. 5 (2006): 1216–37. http://dx.doi.org/10.1002/num.20152.

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40

Argyros, I. K. "An extension of the mesh independence principle for operator equations in Banach space." Applied Mathematics Letters 9, no. 3 (May 1996): 1–7. http://dx.doi.org/10.1016/0893-9659(96)00021-3.

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41

Dratman, Ezequiel, and Guillermo Matera. "Newton’s method and a mesh-independence principle for certain semilinear boundary-value problems." Journal of Computational and Applied Mathematics 292 (January 2016): 188–212. http://dx.doi.org/10.1016/j.cam.2015.07.004.

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42

Bao, JQ, Q. Yang, and WF Yuan. "An iterative numerical scheme for the calculation of the effective moduli of heterogeneous materials with finite element method." Journal of Composite Materials 46, no. 13 (October 11, 2011): 1561–70. http://dx.doi.org/10.1177/0021998311423856.

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An iterative numerical scheme to calculate the effective moduli of a heterogeneous material is presented based on the finite element method. The effect of the inclusions on the effective moduli of the heterogeneous material is embodied in a virtual local body force caused by eigenstrain within the equivalent homogeneous material in the scheme. The effective moduli of the original material are achieved by iteratively calculating the virtual local body force with the adoption of two systems of mesh in the scheme. The meshes in the first system discretize the whole domain and serve as the finite element meshes to obtain the solution, and the meshes in the second system discretize the inclusions. The difficulty of mesh generation due to inclusions is overcome by the complete independence between the two systems of mesh. Examples are presented to verify the validity of the scheme, and its convergence rate is also discussed. Application of the scheme is conducted to study the effect of inclusion shapes on the anisotropy of composite.
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43

Putri, Vatharany Liana, Faik Kurohman, and Aristi Dian Purnama Fitri. "EFISIENSI TEKNIS DAN SELEKTIVITAS ALAT TANGKAP JARING INSANG (GILLNET) TERHADAP KOMPOSISI HASILTANGKAPAN DI PERAIRAN SEMARANG (Technical Efficiency and Selectivity of Fishing Gear Gillnet to Composition of Fish Capture in Semarang Water)." SAINTEK PERIKANAN : Indonesian Journal of Fisheries Science and Technology 13, no. 2 (February 15, 2018): 126. http://dx.doi.org/10.14710/ijfst.13.2.126-132.

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Pengoperasian Gill Net akan berpengaruh terhadap stok sumberdaya ikan apabila tidak diatur dengan baik. Strategi manajemen sumberdaya ikan diperlukan agar optimalisasi hasil tangkapan dan kelestarian sumberdaya ikan tetap terjaga. Tujuan dari penelitian ini adalah untuk menganalisis nilai efisiensi teknis dan nilai selektivitas alat tangkap Jaring Insang (Gill Net ) terhadap komposisi hasil tangkapan. Metode penelitian yang digunakan adalah deskriptif bersifat studi kasus. Lokasi penelitian di perairan Semarang. Obyek pengamatan adalah Gill Net . Analisis data yang digunakan adalah uji Independent T-Test. Hasil Penelitian menunjukkan bahwa alat tangkap Gill Net terdapat dua mesh size yaitu 1,4 inci dan 3,5 inci. Total hasil tangkapan Gill Net dengan mesh size 1,4 inci sebesar 38.350 kg sedangkan Gill Net dengan ukuran 3,5 inci sebesar 15.220 kg. Nilai efisiensi yang terdapat pada mesh size 1,4 inci adalah 30 sedangkan, mesh size 3,5 inci memperoleh poin sebesar 20. Berdasarkan pengolahan uji Independent T-test bahwa terdapat pengaruh signifikan antara komposisi hasil tangkapan Gill Net terhadap mesh size 1,4 inci dan 3,5 inci. Kesimpulan yang diperoleh dari penelitian ini adalah status alat tangkap Gill Net dengan mesh size 1,4 inci lebih efisien daripada mesh size 3,5 inci. The way to operation the Gill Net will affect the stock of fish resources if not properly regulated. Strategy to manage the fish resources is needed to optimize amount of catch and create the sustainable fish resources. The aim of research was to analyze level of technical efficiency and selectivity Gillnets to the composition of the catches. The research method used case study on technical efficiency Gillnets in Semarang’s waters. The results of the research, Gillnets have two mesh size, 1.4 inch and 3.5 inch. Total catch of Gillnets with mesh size 1.4 inch was 38.350 kg while Gillnets catch with mesh size 3.5 inch was 15.220 kg. Based on independence T-test that there was significant influence between the composition of Gillnets catches to mesh size 1.4 inch and 3,5 inch. efficiency point with mesh size 1,4 inch was 30, whereas mesh size 3,5 inch obtained 20 point. The conclusion from this research is stat us of fishing gear Gillnets with mesh size 1,4 inch more efficient than mesh size 3,5 inch.
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44

Argyros, Ioannis K. "A refined Newton’s mesh independence principle for a class of optimal shape design problems." Central European Journal of Mathematics 4, no. 4 (December 2006): 562–72. http://dx.doi.org/10.2478/s11533-006-0027-4.

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45

Du, Xiuhong, and Daniel B. Szyld. "A note on the mesh independence of convergence bounds for additive Schwarz preconditioned GMRES." Numerical Linear Algebra with Applications 15, no. 6 (August 2008): 547–57. http://dx.doi.org/10.1002/nla.583.

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46

Hintermüller, Michael, Ian Kopacka, and Stefan Volkwein. "Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints." ESAIM: Control, Optimisation and Calculus of Variations 15, no. 3 (July 19, 2008): 626–52. http://dx.doi.org/10.1051/cocv:2008042.

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47

Esfeh, H. Kazemi, A. Azarafza, and M. K. A. Hamid. "On the computational fluid dynamics of PEM fuel cells (PEMFCs): an investigation on mesh independence analysis." RSC Advances 7, no. 52 (2017): 32893–902. http://dx.doi.org/10.1039/c7ra03236f.

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48

Lin, Yu-Hsien, and Xian-Chen Li. "The Investigation of a Sliding Mesh Model for Hydrodynamic Analysis of a SUBOFF Model in Turbulent Flow Fields." Journal of Marine Science and Engineering 8, no. 10 (September 25, 2020): 744. http://dx.doi.org/10.3390/jmse8100744.

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A computational fluid dynamics (CFD)-based simulation using a finite volume code for a full-appendage DARPA (Defense Advanced Research Projects Agency) SUBOFF model was investigated with a sliding mesh model in a multi-zone fluid domain. Unsteady Reynolds Averaged Navier–Stokes (URANS) equations were coupled with a Menter’s shear stress transport (SST) k-ω turbulence closure based on the Boussinesq approximation. In order to simulate unsteady motions and capture unsteady interactions, the sliding mesh model was employed to simulate flows in the fluid domain that contains multiple moving zones. The pressure-based solver, semi-implicit method for the pressure linked equations-consistent (SIMPLEC) algorithm was employed for incompressible flows based on the predictor-corrector approach in a segregated manner. After the grid independence test, the numerical simulation was validated by comparison with the published experimental data and other numerical results. In this study, the capability of the CFD simulation with the sliding mesh model was well demonstrated to conduct the straight-line towing tests by analyzing hydrodynamic characteristics, viz. resistance, vorticity, frictional coefficients, and pressure coefficients.
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49

Hintermüller, M. "Mesh independence and fast local convergence of a primal-dual active-set method for mixed control-state constrained elliptic control problems." ANZIAM Journal 49, no. 1 (July 2007): 1–38. http://dx.doi.org/10.1017/s1446181100012657.

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A class of mixed control-state constrained optimal control problems for elliptic partial differential equations arising, for example, in Lavrentiev-type regularized state constrained optimal control is considered. Its numerical solution is obtained via a primal-dual activeset method, which is equivalent to a class of semi-smooth Newton methods. The locally superlinear convergence of the active-set method in function space is established, and its mesh independence is proved. The paper contains a report on numerical test runs including a comparison with a short-step path-following interior-point method and a coarse-to-fine mesh sweep, that is, a nested iteration technique, for accelerating the overall solution process. Finally, convergence and regularity properties of the regularized problems with respect to a vanishing Lavrentiev parameter are considered. 2000 Mathematics subject classification: primary 65K05; secondary 90C33.
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50

BEIRÃO DA VEIGA, L., A. BUFFA, G. SANGALLI, and R. VÁZQUEZ. "ANALYSIS-SUITABLE T-SPLINES OF ARBITRARY DEGREE: DEFINITION, LINEAR INDEPENDENCE AND APPROXIMATION PROPERTIES." Mathematical Models and Methods in Applied Sciences 23, no. 11 (July 23, 2013): 1979–2003. http://dx.doi.org/10.1142/s0218202513500231.

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T-splines are an important tool in IGA since they allow local refinement. In this paper we define analysis-suitable T-splines of arbitrary degree and prove fundamental properties: Linear independence of the blending functions and optimal approximation properties of the associated T-spline space. These are corollaries of our main result: A T-mesh is analysis-suitable if and only if it is dual-compatible. Indeed, dual compatibility is a concept already defined and used in L. Beirão da Veiga et al.5 Analysis-suitable T-splines are dual-compatible which allows for a straightforward construction of a dual basis.
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