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1

Ran, Shi-Yong, and Jun-Li Jia. "A multi-field approach to DNA condensation." Chinese Physics B 24, no. 12 (December 2015): 128702. http://dx.doi.org/10.1088/1674-1056/24/12/128702.

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Hasse, Cathrine. "The multi-variation approach." Paladyn, Journal of Behavioral Robotics 10, no. 1 (May 29, 2019): 219–27. http://dx.doi.org/10.1515/pjbr-2019-0017.

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AbstractThis article argues that a multi-variation approach can be a useful supplement to existing ethnographic studies in the field of Human-Robot Interaction (HRI). The multi-variation approach builds on classical ethnographic case studies, where a researcher studies a delimited field in a microstudy of a particular robot, its makers, users, and affected stakeholders. The approach is also inspired by multi-sited studies, where researchers move across fields, adding to the complexity of the ethnographic findings. Whereas both approaches build on analysis of microstudies, the multi-variation approach is further inspired by postphenomenology, where the main aim is to deliberately seek variation – thus again adding to the complexity of the detailed findings. Here, the multivariation approach includes several researchers studying several types of robots across sites. The analytical approach seeks patterns across this complexity – and the claim is that a multi-variation approach has a strength in findings that are systematic and consistent across cases, sites, and variations. The article gives an example of such cross-variation findings in the robot field – namely the tendency for roboticists across cases and robot types to publicly present their robots as more finished and wellfunctioning than they actually are.
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Wang, Yunzhi, and Armen G. Khachaturyan. "Multi-scale phase field approach to martensitic transformations." Materials Science and Engineering: A 438-440 (November 2006): 55–63. http://dx.doi.org/10.1016/j.msea.2006.04.123.

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4

Vasiliev, A. A., S. V. Dmitriev, and A. E. Miroshnichenko. "Multi-field approach in mechanics of structural solids." International Journal of Solids and Structures 47, no. 3-4 (February 2010): 510–25. http://dx.doi.org/10.1016/j.ijsolstr.2009.10.016.

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5

Vacca, Gian Paolo, Alessandro Codello, Mahmoud Safari, and Omar Zanusso. "Multi-Critical Multi-Field Models: A CFT Approach to the Leading Order." Universe 5, no. 6 (June 13, 2019): 151. http://dx.doi.org/10.3390/universe5060151.

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We present some general results for the multi-critical multi-field models in d > 2 recently obtained using conformal field theory (CFT) and Schwinger–Dyson methods at the perturbative level without assuming any symmetry. Results in the leading non trivial order are derived consistently for several conformal data in full agreement with functional perturbative renormalization group (RG) methods. Mechanisms like emergent (possibly approximate) symmetries can be naturally investigated in this framework.
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Gong, Jinn-Ouk, and Takahiro Tanaka. "A covariant approach to general field space metric in multi-field inflation." Journal of Cosmology and Astroparticle Physics 2011, no. 03 (March 7, 2011): 015. http://dx.doi.org/10.1088/1475-7516/2011/03/015.

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Sarkar, Shreya G., Raghwendra Kumar, Gaurav Singh, and Debabrata Biswas. "Simulating multi-scale gated field emitters—A hybrid approach." Physics of Plasmas 28, no. 1 (January 2021): 013111. http://dx.doi.org/10.1063/5.0036358.

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8

Michalopoulou, Zoi‐Heleni. "Robust multi-tonal matched-field inversion: A coherent approach." Journal of the Acoustical Society of America 104, no. 1 (July 1998): 163–70. http://dx.doi.org/10.1121/1.423954.

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9

Gong, Jinn-Ouk, and Takahiro Tanaka. "Erratum: A covariant approach to general field space metric in multi-field inflation." Journal of Cosmology and Astroparticle Physics 2012, no. 02 (February 6, 2012): E01. http://dx.doi.org/10.1088/1475-7516/2012/02/e01.

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Festa, Adriano, and Simone Göttlich. "A Mean Field Game approach for multi-lane traffic management." IFAC-PapersOnLine 51, no. 32 (2018): 793–98. http://dx.doi.org/10.1016/j.ifacol.2018.11.448.

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11

Hovik, Sissel. "Elin Lerum Boasson (2015): National Climate Policy. A Multi-field Approach." Norsk statsvitenskapelig tidsskrift 31, no. 03 (October 8, 2015): 256–59. http://dx.doi.org/10.18261/issn1504-2936-2015-03-05.

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12

Karčiauskas, Mindaugas, Kazunori Kohri, Taro Mori, and Jonathan White. "Slow-roll corrections in multi-field inflation: a separate universes approach." Journal of Cosmology and Astroparticle Physics 2018, no. 05 (May 8, 2018): 021. http://dx.doi.org/10.1088/1475-7516/2018/05/021.

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13

Chen, Jeng-Tzong, and An-Chien Wu. "Null-Field Approach for the Multi-inclusion Problem Under Antiplane Shears." Journal of Applied Mechanics 74, no. 3 (May 22, 2006): 469–87. http://dx.doi.org/10.1115/1.2338056.

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In this paper, we derive the null-field integral equation for an infinite medium containing circular holes and/or inclusions with arbitrary radii and positions under the remote antiplane shear. To fully capture the circular geometries, separable expressions of fundamental solutions in the polar coordinate for field and source points and Fourier series for boundary densities are adopted to ensure the exponential convergence. By moving the null-field point to the boundary, singular and hypersingular integrals are transformed to series sums after introducing the concept of degenerate kernels. Not only the singularity but also the sense of principle values are novelly avoided. For the calculation of boundary stress, the Hadamard principal value for hypersingularity is not required and can be easily calculated by using series sums. Besides, the boundary-layer effect is eliminated owing to the introduction of degenerate kernels. The solution is formulated in a manner of semi-analytical form since error purely attributes to the truncation of Fourier series. The method is basically a numerical method, and because of its semi-analytical nature, it possesses certain advantages over the conventional boundary element method. The exact solution for a single inclusion is derived using the present formulation and matches well with the Honein et al.’s solution by using the complex-variable formulation (Honein, E., Honein, T., and Hermann, G., 1992, Appl. Math., 50, pp. 479–499). Several problems of two holes, two inclusions, one cavity surrounded by two inclusions and three inclusions are revisited to demonstrate the validity of our method. The convergence test and boundary-layer effect are also addressed. The proposed formulation can be generalized to multiple circular inclusions and cavities in a straightforward way without any difficulty.
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Bungartz, Hans-Joachim, Florian Lindner, Miriam Mehl, and Benjamin Uekermann. "A plug-and-play coupling approach for parallel multi-field simulations." Computational Mechanics 55, no. 6 (December 23, 2014): 1119–29. http://dx.doi.org/10.1007/s00466-014-1113-2.

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15

Pao, Derek, and Cutson Liu. "Parallel tree search: An algorithmic approach for multi-field packet classification." Computer Communications 30, no. 2 (January 2007): 302–14. http://dx.doi.org/10.1016/j.comcom.2006.08.032.

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16

Li, Kai, Yihui Zhao, Maiqi Liu, Xiaoying Wang, Fangyuan Zhang, and Dazhi Wang. "A multi-scale E-jet 3D printing regulated by structured multi-physics field." Journal of Micromechanics and Microengineering 32, no. 2 (December 31, 2021): 025005. http://dx.doi.org/10.1088/1361-6439/ac43d1.

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Abstract Micro/nano scale structure as important functional part have been widely used in wearable flexible sensors, gas sensors, biological tissue engineering, microfluidic chips super capacitors and so on. Here a multi-scale electrohydrodynamic jet (E-jet) 3D printing approach regulated by structured multi-physics fields was demonstrated to generate 800 nm scale 2D geometries and high aspect ratio 3D structures. The simulation model of jetting process under resultant effect of top fluid field, middle electric field and bottom thermal field was established. And the physical mechanism and scale law of jet formation were studied. The effects of thermal field temperature, applied voltage and flow rate on the jet behaviors were studied; and the range of process parameters of stable jet was obtained. The regulation of printing parameters was used to manufacture the high resolution gradient graphics and the high aspect ratio structure with tight interlayer bonding. The structural features could be flexibly adjusted by reasonably matching the process parameters. Finally, polycaprolactone/polyvinylpyrrolidone (PCL/PVP) composite scaffolds with cell-scale fiber and ordered fiber spacing were printed. The proposed E-jet printing method provides an alternative approach for the application of biopolymer materials in tissue engineering.
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Chen, Jiangtao, Jiao Zhao, Wei Xiao, Luogeng Lv, Wei Zhao, and Xiaojun Wu. "A Multi-Fidelity Uncertainty Propagation Model for Multi-Dimensional Correlated Flow Field Responses." Aerospace 11, no. 4 (March 28, 2024): 263. http://dx.doi.org/10.3390/aerospace11040263.

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Given the randomness inherent in fluid dynamics problems and limitations in human cognition, Computational Fluid Dynamics (CFD) modeling and simulation are afflicted with non-negligible uncertainties, casting doubts on the credibility of CFD. Scientifically and rigorously quantifying the uncertainty of CFD is paramount for assessing its credibility and informing engineering decisions. In order to quantify the uncertainty of multidimensional flow field responses stemming from uncertain model parameters, this paper proposes a method based on Gappy Proper Orthogonal Decomposition (POD) for supplementing high-fidelity flow field data within a framework that leverages POD and surrogate models. This approach enables the generation of corresponding high-fidelity flow fields from low-fidelity ones, significantly reducing the cost of high-fidelity flow field computation in uncertainty propagation modeling. Through an analysis of the impact of uncertainty in the coefficients of the Spalart–Allmaras (SA) turbulence model on the distribution of wall friction coefficients for the NACA0012 airfoil and pressure coefficients for the M6 wing, the proposed multi-fidelity modeling approach is demonstrated to offer significant advancements in both accuracy and efficiency compared to single-fidelity methods, providing a robust and efficient prediction model for large-scale random sampling.
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18

Fall, Wendy. "The Multi-Dimensional Field: Applied Anthropology in Senegal." Practicing Anthropology 19, no. 1 (January 1, 1997): 18–22. http://dx.doi.org/10.17730/praa.19.1.0h00702881927536.

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For the last three years I have been employed with a large agricultural project in Senegal. I have learned a great deal about things like gaps in approach between extension technicians and researchers, between the Francophone concept of "research and development," and the American terms "outreach" and "extension." I have also learned more about the macro dynamics of nongovernment organizations (NGOs) in a country's development and the problems of communications related to bureaucracies. These are things that I would have expected to have to consider.
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19

Li, Xue, Ali Hashemi Gheinani, and Rosalyn M. Adam. "A multi-omics approach to understanding the field effect in bladder cancer." Translational Andrology and Urology 8, no. 6 (December 2019): 775–78. http://dx.doi.org/10.21037/tau.2019.07.11.

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20

Kolditz, Olaf, and Sebastian Bauer. "A process-oriented approach to computing multi-field problems in porous media." Journal of Hydroinformatics 6, no. 3 (July 1, 2004): 225–44. http://dx.doi.org/10.2166/hydro.2004.0017.

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Object-oriented methods are becoming more and more important in order to meet the challenges in scientific computing, such as the treatment of coupled multi-field problems with high spatial resolution. This paper introduces an object-oriented concept for modelling multi-process systems in porous media. The basic idea is the direct representation of a physical process by an object of the numerical code. Because a physical process can be represented by a field variable and an equation system, the process object contains the equation system for the field variable as well as all methods needed for building and solving the equation system. The process object is thus self-configuring and well encapsulated, which are the main advantages of this new approach and thus allows for an easy extension to more complex applications with a higher number of processes. The design and implementation of the object-oriented concept for the presented process objects is described in detail and illustrated by a set of application examples.
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21

YANG, WENJIA, LIHUA DOU, and JUAN ZHAN. "A MULTI-HISTOGRAM CLUSTERING APPROACH TOWARD MARKOV RANDOM FIELD FOR FOREGROUND SEGMENTATION." International Journal of Image and Graphics 11, no. 01 (January 2011): 65–81. http://dx.doi.org/10.1142/s0219467811003993.

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This paper presents a Bayesian approach for foreground segmentation in monocular image sequences. To overcome the limitations of background modeling in dealing with pixel-wise processing, spatial coherence and temporal persistency are formulated with background model under a maximum a posteriori probability (MAP)–Markov random field statistical (MRF) framework. Fuzzy clustering factor was introduced into the prior energy of MRFs for the new implementation scheme, where contextual constraints can be adaptively adjusted in terms of feature cues. Experimental results for several image sequences are provided to demonstrate the effectiveness of the proposed approach.
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22

Teixeira da Encarnação, João, Pieter Visser, Daniel Arnold, Aleš Bezdek, Eelco Doornbos, Matthias Ellmer, Junyi Guo, et al. "Description of the multi-approach gravity field models from Swarm GPS data." Earth System Science Data 12, no. 2 (June 22, 2020): 1385–417. http://dx.doi.org/10.5194/essd-12-1385-2020.

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Abstract. Although the knowledge of the gravity of the Earth has improved considerably with CHAMP, GRACE, and GOCE (see appendices for a list of abbreviations) satellite missions, the geophysical community has identified the need for the continued monitoring of the time-variable component with the purpose of estimating the hydrological and glaciological yearly cycles and long-term trends. Currently, the GRACE-FO satellites are the sole dedicated provider of these data, while previously the GRACE mission fulfilled that role for 15 years. There is a data gap spanning from July 2017 to May 2018 between the end of the GRACE mission and start the of GRACE-FO, while the Swarm satellites have collected gravimetric data with their GPS receivers since December 2013. We present high-quality gravity field models (GFMs) from Swarm data that constitute an alternative and independent source of gravimetric data, which could help alleviate the consequences of the 10-month gap between GRACE and GRACE-FO, as well as the short gaps in the existing GRACE and GRACE-FO monthly time series. The geodetic community has realized that the combination of different gravity field solutions is superior to any individual model and set up the Combination Service of Time-variable Gravity Fields (COST-G) under the umbrella of the International Gravity Field Service (IGFS), part of the International Association of Geodesy (IAG). We exploit this fact and deliver the highest-quality monthly GFMs, resulting from the combination of four different gravity field estimation approaches. All solutions are unconstrained and estimated independently from month to month. We tested the added value of including kinematic baselines (KBs) in our estimation of GFMs and conclude that there is no significant improvement. The non-gravitational accelerations measured by the accelerometer on board Swarm C were also included in our processing to determine if this would improve the quality of the GFMs, but we observed that is only the case when the amplitude of the non-gravitational accelerations is higher than during the current quiet period in solar activity. Using GRACE data for comparison, we demonstrate that the geophysical signal in the Swarm GFMs is largely restricted to spherical harmonic degrees below 12. A 750 km smoothing radius is suitable to retrieve the temporal variations in Earth's gravity field over land areas since mid-2015 with roughly 4 cm equivalent water height (EWH) agreement with respect to GRACE. Over ocean areas, we illustrate that a more intense smoothing with 3000 km radius is necessary to resolve large-scale gravity variations, which agree with GRACE roughly at the level of 1 cm EWH, while at these spatial scales the GRACE observes variations with amplitudes between 0.3 and 1 cm EWH. The agreement with GRACE and GRACE-FO over nine selected large basins under analysis is 0.91 cm, 0.76 cm yr−1, and 0.79 in terms of temporal mean, trend, and correlation coefficient, respectively. The Swarm monthly models are distributed on a quarterly basis at ESA's Earth Swarm Data Access (at https://swarm-diss.eo.esa.int/, last access: 5 June 2020, follow Level2longterm and then EGF) and at the International Centre for Global Earth Models (http://icgem.gfz-potsdam.de/series/02_COST-G/Swarm, last access: 5 June 2020), as well as identified with the DOI https://doi.org/10.5880/ICGEM.2019.006 (Encarnacao et al., 2019).
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23

Bollada, P. C., P. K. Jimack, and A. M. Mullis. "A new approach to multi-phase field for the solidification of alloys." IOP Conference Series: Materials Science and Engineering 33 (July 3, 2012): 012099. http://dx.doi.org/10.1088/1757-899x/33/1/012099.

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24

Mihaylova, Iva. "Book Review: Elin Lerum Boasson, National Climate Policy: A Multi-Field Approach." Political Studies Review 14, no. 2 (May 2016): 291. http://dx.doi.org/10.1177/1478929916630921b.

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Fadaei, M., H. Vafadar, and A. Noorpoor. "New thermo-mechanical analysis of cylinder heads using a multi-field approach." Scientia Iranica 18, no. 1 (February 2011): 66–74. http://dx.doi.org/10.1016/j.scient.2011.03.009.

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26

Rather, Asloob A., M. Ikram, A. A. Usmani, B. Kumar, and S. K. Patra. "A Study of Multi-Λ Hypernuclei Within Spherical Relativistic Mean-Field Approach." Brazilian Journal of Physics 47, no. 6 (September 1, 2017): 628–39. http://dx.doi.org/10.1007/s13538-017-0525-9.

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27

Schraad, M. W., and F. H. Harlow. "A multi-field approach to modeling the dynamic response of cellular materials." International Journal of Mechanical Sciences 48, no. 1 (January 2006): 85–106. http://dx.doi.org/10.1016/j.ijmecsci.2005.09.004.

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28

Zhang, Lu-Wen, and Jia-Yu Ye. "Cavitation impact damage of polymer: A multi-physics approach incorporating phase-field." Computer Methods in Applied Mechanics and Engineering 417 (December 2023): 116420. http://dx.doi.org/10.1016/j.cma.2023.116420.

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29

Bottino, Rosa Maria, Michela Ott, and Francesca Pozzi. "A multi-perspective approach to the evaluation of a multi-user system in the field of TEL." International Journal of Technology Enhanced Learning 2, no. 3 (2010): 201. http://dx.doi.org/10.1504/ijtel.2010.033577.

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30

Darabi, Roya, Erfan Azinpour, Ana Reis, and Jose Cesar de Sa. "Multi-scale Multi-physics Phase-field coupled Thermo-mechanical approach for modeling of powder bed fusion process." Applied Mathematical Modelling 122 (October 2023): 572–97. http://dx.doi.org/10.1016/j.apm.2023.06.021.

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31

Komendantova, Nadejda, Anna Scolobig, Alexander Garcia-Aristizabal, Daniel Monfort, and Kevin Fleming. "Multi-risk approach and urban resilience." International Journal of Disaster Resilience in the Built Environment 7, no. 2 (April 11, 2016): 114–32. http://dx.doi.org/10.1108/ijdrbe-03-2015-0013.

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Purpose Urban resilience is becoming increasingly important due to increasing degree of urbanization and a combination of several factors affecting urban vulnerability. Urban resilience is also understood as a capacity of a system to prepare, respond and recover from multi-hazard threats. The purpose of multi-risk approach (MRA) is to take into consideration interdependencies between multiple risks, which can trigger a chain of natural and manmade events with different spatial and temporal scales. The purpose of this study is to understand correlation between multi-risk approach and urban resilience. Design/methodology/approach To increase urban resilience, MRA should also include multi-risk governance, which is based on understanding how existing institutional and governance structures, individual judgments and communication of risk assessment results shape decision-making processes. Findings This paper is based on extensive fieldwork in the test studies of Naples, Italy and Guadeloupe, France, the historical case study analysis and the stakeholders’ interviews, workshops and focus groups discussions. Originality/value Multi-risk is a relatively new field in science, only partially developed in social and geosciences. The originality of this research is in establishment of a link between MRA, including both assessment and governance, and urban resilience. In this paper, the authors take a holistic and systemic look at the MRA, including all stages of knowledge generation and decision-making. Both, knowledge generation and decision-making are reinforced by behavioural biases, different perceptions and institutional factors. Further on, the authors develop recommendations on how an MRA can contribute to urban resilience.
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32

Clayton, J. D., M. Guziewski, J. P. Ligda, R. B. Leavy, and J. Knap. "A Multi-Scale Approach for Phase Field Modeling of Ultra-Hard Ceramic Composites." Materials 14, no. 6 (March 14, 2021): 1408. http://dx.doi.org/10.3390/ma14061408.

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Diamond-silicon carbide (SiC) polycrystalline composite blends are studied using a computational approach combining molecular dynamics (MD) simulations for obtaining grain boundary (GB) fracture properties and phase field mechanics for capturing polycrystalline deformation and failure. An authentic microstructure, reconstructed from experimental lattice diffraction data with locally refined discretization in GB regions, is used to probe effects of local heterogeneities on material response in phase field simulations. The nominal microstructure consists of larger diamond and SiC (cubic polytype) grains, a matrix of smaller diamond grains and nanocrystalline SiC, and GB layers encasing the larger grains. These layers may consist of nanocrystalline SiC, diamond, or graphite, where volume fractions of each phase are varied within physically reasonable limits in parametric studies. Distributions of fracture energies from MD tension simulations are used in the phase field energy functional for SiC-SiC and SiC-diamond interfaces, where grain boundary geometries are obtained from statistical analysis of lattice orientation data on the real microstructure. An elastic homogenization method is used to account for distributions of second-phase graphitic inclusions as well as initial voids too small to be resolved individually in the continuum field discretization. In phase field simulations, SiC single crystals may twin, and all phases may fracture. The results of MD calculations show mean strengths of diamond-SiC interfaces are much lower than those of SiC-SiC GBs. In phase field simulations, effects on peak aggregate stress and ductility from different GB fracture energy realizations with the same mean fracture energy and from different random microstructure orientations are modest. Results of phase field simulations show unconfined compressive strength is compromised by diamond-SiC GBs, graphitic layers, graphitic inclusions, and initial porosity. Explored ranges of porosity and graphite fraction are informed by physical observations and constrained by accuracy limits of elastic homogenization. Modest reductions in strength and energy absorption are witnessed for microstructures with 4% porosity or 4% graphite distributed uniformly among intergranular matrix regions. Further reductions are much more severe when porosity is increased to 8% relative to when graphite is increased to 8%.
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33

Zhu, Min, and Sipei Zhao. "An iterative approach to optimize loudspeaker placement for multi-zone sound field reproduction." Journal of the Acoustical Society of America 149, no. 5 (May 2021): 3462–68. http://dx.doi.org/10.1121/10.0005042.

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Belkhabbaz, A., M. Gueguin, F. Hafid, C. Yang, O. Allix, and J. M. Ghidaglia. "Surrogate model based approach to predict fatigue stress field in multi-stranded cables." International Journal of Solids and Structures 230-231 (November 2021): 111168. http://dx.doi.org/10.1016/j.ijsolstr.2021.111168.

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35

Lucchini, M., A. Ludwig, L. Kasmi, L. Gallmann, and U. Keller. "Semi-classical approach to compute RABBITT traces in multi-dimensional complex field distributions." Optics Express 23, no. 7 (March 30, 2015): 8867. http://dx.doi.org/10.1364/oe.23.008867.

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36

Shimizu, Taku, Jorge Trevino, Shuichi Sakamoto, and Yôiti Suzuki. "A multi-zone approach to sound field reproduction based on spherical harmonic analysis." Acoustical Science and Technology 36, no. 5 (2015): 441–44. http://dx.doi.org/10.1250/ast.36.441.

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37

Zhang, Wen, Thushara D. Abhayapala, Terence Betlehem, and Filippo Maria Fazi. "Analysis and control of multi-zone sound field reproduction using modal-domain approach." Journal of the Acoustical Society of America 140, no. 3 (September 2016): 2134–44. http://dx.doi.org/10.1121/1.4963084.

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38

Zhou, Rui, Yaoguang Hu, Shasha Xiao, and Jingqian Wen. "A Multi-agent Based Decision –Making Approach for Field Service Delivery of IPS2." Procedia CIRP 47 (2016): 228–33. http://dx.doi.org/10.1016/j.procir.2016.03.070.

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39

Mulmule, Shirish, and A. K. Rath. "Application of a multi-director displacement field approach for sandwich shell structure analysis." Computers & Structures 48, no. 4 (August 1993): 653–60. http://dx.doi.org/10.1016/0045-7949(93)90259-g.

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40

Ma, Yan, and Minyi Huang. "Linear quadratic mean field games with a major player: The multi-scale approach." Automatica 113 (March 2020): 108774. http://dx.doi.org/10.1016/j.automatica.2019.108774.

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41

Narváez-Muñoz, Christian, Mohammad R. Hashemi, Pavel B. Ryzhakov, Jordi Pons-Prats, and Herbert Owen. "Enriched finite element approach for modeling discontinuous electric field in multi-material problems." Finite Elements in Analysis and Design 225 (November 2023): 104007. http://dx.doi.org/10.1016/j.finel.2023.104007.

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42

Chen, Haodong, Lulu Li, and Jianquan Lu. "State estimation of switched finite-field networks: A multi-valued particle filter approach." Information Sciences 662 (March 2024): 120285. http://dx.doi.org/10.1016/j.ins.2024.120285.

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43

Jurković, Zvonimir, Bruno Jurišić, and Tomislav Župan. "Multi-Step Approach for Fast Calculation of Magnetic Field in Transformer Tank Shields." Energies 17, no. 6 (March 13, 2024): 1378. http://dx.doi.org/10.3390/en17061378.

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A multi-step approach for the fast calculation of the magnetic field inside transformer tank shields, based on the 2D FEM, is presented in the paper. Due to the limitations of the 2D FEM, the proposed approach utilizes several 2D FEM models and calculates the magnetic field in multiple steps to account for the 3D geometry of the problem. In the first step, a distribution of the magnetic flux density that enters the tank shields is calculated using the quasi-3D model of the transformer. This quasi-3D model is obtained by superimposing the solution of multiple axisymmetric 2D FEM models, and assumes a considerably simplified transformer geometry. To account for the tank shield geometry that is neglected in the quasi-3D FEM model, an additional 2D FEM model with tank shields is introduced. After the distribution of the magnetic flux density that enters the tank shields is calculated, it is imposed in the final 2D FEM model with a non-linear tank shield which is used to calculate the magnetic flux density distribution inside the tank shields. The proposed approach enables a fast calculation of magnetic field distributions, both in the vertical and horizontal directions. The results of the proposed approach are compared against the 3D FEM. The relative error of the maximum magnetic flux density is under 2%, while the NRMSE of the magnetic flux density distribution within the tank shields is under 10%. The key contribution of the proposed approach is a low computation time. In the presented case study, the total computation time of the proposed approach is ~30 s, while the computation time of the 3D FEM is ~1 h. As the computation time is significantly reduced, while the accuracy is acceptable, the proposed approach can be a good alternative to the 3D FEM for design purposes. Therefore, it has industrial value.
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44

Yu, W., F. Euzenat, P. Maheshwari, L. A. Baiza Martinez, C. Eneau, and M. Pallud. "A multi-fidelity approach for wind farm simulations and comparison with field data." Journal of Physics: Conference Series 2767, no. 5 (June 1, 2024): 052039. http://dx.doi.org/10.1088/1742-6596/2767/5/052039.

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Abstract The prediction of energy production and structural loads within wind farms is of high interest for wind industries to optimize the wind farm design and control under a variety of atmospheric conditions. However, it is still a key challenge to predict them accurately and efficiently due to the complex interactions between wind turbines and turbulent flows. Nowadays, high-fidelity simulations using Reynolds-Averaged Navier-Stokes (RANS) or Large-Eddy Simulation (LES) coupled with actuator disk or actuator line method are widely developed and used in wind farm analysis, but it still needs a huge computational resource, especially in the application of a commercial wind farm with large number of turbines. In this context, a mid-fidelity simulation tool based on the Dynamics Wake Meandering (DWM) model called FAST.Farm has been developed by National Renewable Energy Laboratory (NREL) in order to tackle this challenge. It allows to capture essential physics at the turbine scale as well as at the farm scale in a computational efficient manner. This study focuses on the calibration of DWM model which is the key to minimize inaccuracies between mid-fidelity and high-fidelity simulations regarding key performance indicators, e.g. thrust and power production. The calibration is made for DTU10MW wind turbine and shows a good improvement in accuracy compared to default parameters. The calibrated DWM model is finally employed to forecast the power generation for two turbines within a reference wind farm. A good improvement on the prediction is also obtained thanks to the calibrated parameters.
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45

Qian, Denghui, and Guoqing Liu. "FE/PDE: a novel approach applied to PC plate structure with multi-scale and multi-physics field coupling." Physica Scripta 99, no. 6 (May 22, 2024): 065252. http://dx.doi.org/10.1088/1402-4896/ad49ea.

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Abstract For the more straightforward and more efficient solution of phononic crystal (PC) plate frequency band structure, transmission curve, and vibration mode, in this paper, related theories based on spatial Fourier series expansions, combined with Bloch’s theorem, a novel approach to solve the structural governing equations of PC plate is proposed by using the partial differential equations (PDE) module in the finite element software COMSOL. It is named the FE/PDE (Finite element and partial differential equations) method. The method’s accuracy is verified by comparing the results with those obtained from the traditional method. Systematic elucidation of the application of the method to probe the properties of multi-scale, multi-physics field coupled PC plate. In order to demonstrate the flexibility and scientific validity of the method, a novel nano-piezoelectric PC plate structure is proposed and solved. The method is simple, computationally efficient, and applicable, and provides a new method for investigating the properties of PC plates.
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46

Xiao, Hu, Rongxin Cui, and Demin Xu. "Cooperative multi-agent search using Bayesian approach with connectivity maintenance." Assembly Automation 40, no. 1 (April 11, 2019): 76–84. http://dx.doi.org/10.1108/aa-10-2018-0152.

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Purpose This paper aims to present a distributed Bayesian approach with connectivity maintenance to manage a multi-agent network search for a target on a two-dimensional plane. Design/methodology/approach The Bayesian framework is used to compute the local probability density functions (PDFs) of the target and obtain the global PDF with the consensus algorithm. An inverse power iteration algorithm is introduced to estimate the algebraic connectivity λ2 of the network. Based on the estimated λ2, the authors design a potential field for the connectivity maintenance. Then, based on the detection probability function, the authors design a potential field for the search target. The authors combine the two potential fields and design a distributed gradient-based control for the agents. Findings The inverse power iteration algorithm can distributed estimate the algebraic connectivity by the agents. The agents can efficient search the target with connectivity maintenance with the designed distributed gradient-based search algorithm. Originality/value Previous study has paid little attention to the multi-agent search problem with connectivity maintenance. Our algorithm guarantees that the strongly connected graph of the multi-agent communication topology is always established while performing the distributed target search problem.
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47

Frolov, Alexei M. "On Maxwell Electrodynamics in Multi-Dimensional Spaces." Universe 8, no. 1 (December 30, 2021): 20. http://dx.doi.org/10.3390/universe8010020.

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The governing equations of Maxwell electrodynamics in multi-dimensional spaces are derived from the variational principle of least action, which is applied to the action function of the electromagnetic field. The Hamiltonian approach for the electromagnetic field in multi-dimensional pseudo-Euclidean (flat) spaces has also been developed and investigated. Based on the two arising first-class constraints, we have generalized to multi-dimensional spaces a number of different gauges known for the three-dimensional electromagnetic field. For multi-dimensional spaces of non-zero curvature the governing equations for the multi-dimensional electromagnetic field are written in a manifestly covariant form. Multi-dimensional Einstein’s equations of metric gravity in the presence of an electromagnetic field have been re-written in the true tensor form. Methods of scalar electrodynamics are applied to analyze Maxwell equations in the two and one-dimensional spaces.
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48

Oliver, Javier, M. Caicedo, E. Roubin, and A. E. Huespe. "Continuum Approach to Computational Multi-Scale Modeling of Fracture." Key Engineering Materials 627 (September 2014): 349–52. http://dx.doi.org/10.4028/www.scientific.net/kem.627.349.

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This paper presents a FE2 multi-scale framework for numerical modeling of the structural failure of heterogeneous quasi-brittle materials. The model is assessed by application to cementitious materials. Using the Continuum Strong Discontinuity Approach (CSD), innovative numerical tools, such as strain injection and crack path field techniques, provide a robust, and mesh-size, mesh-bias and RVE-size objective, procedure to model crack onset and propagation at the macro-scale.
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49

BARNETT, MEGAN J., MARK PAWLETT, JEMMA L. WADHAM, MIRIAM JACKSON, and DAVID C. CULLEN. "Demonstration of a multi-technique approach to assess glacial microbial populations in the field." Journal of Glaciology 62, no. 232 (April 2016): 348–58. http://dx.doi.org/10.1017/jog.2016.23.

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ABSTRACTThe ability to perform microbial detection and characterization in-field at extreme environments, rather than on returned samples, has the potential to improve the efficiency, relevance and quantity of data from field campaigns. To date, few examples of this approach have been reported. Therefore, we demonstrate that the approach is feasible in subglacial environments by deploying four techniques for microbial detection: real-time polymerase chain reaction; microscopic fluorescence cell counts, adenosine triphosphate bioluminescence assay and recombinant Factor C assay (to detect lipopolysaccharide). Each technique was applied to 12 subglacial ice samples, 12 meltwater samples and two snow samples from Engabreen, Northern Norway. Using this multi-technique approach, the detected biomarker levels were as expected, being highest in debris-rich subglacial ice, moderate in glacial meltwater and low in clean ice (debris-poor) and snow. Principal component analysis was applied to the resulting dataset and could be performed in-field to rapidly aid the allocation of resources for further sample analysis. We anticipate that in-field data collection will allow for multiple rounds of sampling, analysis, interpretation and refinement within a single field campaign, resulting in the collection of larger and more appropriate datasets, ultimately with more efficient science return.
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50

Cui, Kai, Wasiur R. KhudaBukhsh, and Heinz Koeppl. "Hypergraphon mean field games." Chaos: An Interdisciplinary Journal of Nonlinear Science 32, no. 11 (November 2022): 113129. http://dx.doi.org/10.1063/5.0093758.

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We propose an approach to modeling large-scale multi-agent dynamical systems allowing interactions among more than just pairs of agents using the theory of mean field games and the notion of hypergraphons, which are obtained as limits of large hypergraphs. To the best of our knowledge, ours is the first work on mean field games on hypergraphs. Together with an extension to a multi-layer setup, we obtain limiting descriptions for large systems of non-linear, weakly interacting dynamical agents. On the theoretical side, we prove the well-foundedness of the resulting hypergraphon mean field game, showing both existence and approximate Nash properties. On the applied side, we extend numerical and learning algorithms to compute the hypergraphon mean field equilibria. To verify our approach empirically, we consider a social rumor spreading model, where we give agents intrinsic motivation to spread rumors to unaware agents, and an epidemic control problem.
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