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Journal articles on the topic 'Boundary Conditions'

Author: Grafiati

Published: 4 June 2021

Last updated: 21 September 2024

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1

Gast, Alice P. "Boundary Conditions." Scientific American 306, no. 5 (April 17, 2012): 14. http://dx.doi.org/10.1038/scientificamerican0512-14.

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2

Nish-Lapidus, Matt. "Boundary Conditions." KronoScope 20, no. 2 (November 16, 2020): 282–89. http://dx.doi.org/10.1163/15685241-12341474.

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3

Busse, Christian, Andrew P. Kach, and Stephan M. Wagner. "Boundary Conditions." Organizational Research Methods 20, no. 4 (April 14, 2016): 574–609. http://dx.doi.org/10.1177/1094428116641191.

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Boundary conditions (BC) have long been discussed as an important element in theory development, referring to the “who, where, when” aspects of a theory. However, it still remains somewhat vague as to what exactly BC are, how they can or even should be explored, and why their understanding matters. This research tackles these important questions by means of an in-depth theoretical-methodological analysis. The study contributes fourfold to organizational research methods: First, it develops a more accurate and explicit conceptualization of BC. Second, it widens the understanding of how BC can be explored by suggesting and juxtaposing new tools and approaches. It also illustrates BC-exploring processes, drawing on two empirical case examples. Third, it analyzes the reasons for exploring BC, concluding that BC exploration fosters theory development, strengthens research validity, and mitigates the research-practice gap. Fourth, it synthesizes the analyses into 12 tentative suggestions for how scholars should subsequently approach the issues surrounding BC. The authors hope that the study contributes to consensus shifting with respect to BC and draws more attention to BC.

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4

Whitcher, Ursula. "Boundary Conditions." College Mathematics Journal 42, no. 1 (January 2011): 56. http://dx.doi.org/10.4169/college.math.j.42.1.056.

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5

Infante, Gennaro, and Paolamaria Pietramala. "A third order boundary value problem subject to nonlinear boundary conditions." Mathematica Bohemica 135, no. 2 (2010): 113–21. http://dx.doi.org/10.21136/mb.2010.140687.

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6

Zhu, Shaoqiang Tang &. Xi. "Accurate Boundary Conditions for Twin Boundary." Communications in Computational Physics 29, no. 2 (June 2021): 399–419. http://dx.doi.org/10.4208/cicp.oa-2019-0070.

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7

Berggren, Martin, Anders Bernland, and Daniel Noreland. "Acoustic boundary layers as boundary conditions." Journal of Computational Physics 371 (October 2018): 633–50. http://dx.doi.org/10.1016/j.jcp.2018.06.005.

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8

Arrieta, José M., and Simone M. Bruschi. "Boundary oscillations and nonlinear boundary conditions." Comptes Rendus Mathematique 343, no. 2 (July 2006): 99–104. http://dx.doi.org/10.1016/j.crma.2006.05.007.

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9

Graef, John R., Lingju Kong, Qingkai Kong, and Bo Yang. "Second order boundary value problems with sign-changing nonlinearities and nonhomogeneous boundary conditions." Mathematica Bohemica 136, no. 4 (2011): 337–56. http://dx.doi.org/10.21136/mb.2011.141693.

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10

Goard, Joanna. "Noninvariant Boundary Conditions." Applicable Analysis 82, no. 5 (June 2003): 473–81. http://dx.doi.org/10.1080/0003681031000109639.

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11

Hu, Fang Q. "Absorbing Boundary Conditions." International Journal of Computational Fluid Dynamics 18, no. 6 (August 2004): 513–22. http://dx.doi.org/10.1080/10618560410001673524.

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12

Denton, R. E., and Y. Hu. "Symmetry boundary conditions." Journal of Computational Physics 228, no. 13 (July 2009): 4823–35. http://dx.doi.org/10.1016/j.jcp.2009.03.033.

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13

Brenner, Howard, and Venkat Ganesan. "Molecular wall effects: Are conditions at a boundary “boundary conditions”?" Physical Review E 61, no. 6 (June 1, 2000): 6879–97. http://dx.doi.org/10.1103/physreve.61.6879.

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14

Přikryl, Petr, Jiří Taufer, and Emil Vitásek. "Transfer of conditions for singular boundary value problems." Applications of Mathematics 34, no. 3 (1989): 246–58. http://dx.doi.org/10.21136/am.1989.104351.

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15

Goodrich, Christopher S. "Pointwise conditions in discrete boundary value problems with nonlocal boundary conditions." Applied Mathematics Letters 67 (May 2017): 7–15. http://dx.doi.org/10.1016/j.aml.2016.11.011.

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16

Trubitsyn, Konstantin Viktorovich, Evgeniya Valerievna Kotova, Tat'yana Evgen'evna Gavrilova, Kseniya Vladimirovna Kolotilkina, Sergey Vladimirovich Zaitsev, and Tamara Borisovna Tarabrina. "Additional boundary conditions in thermal conductivity problems with heterogeneous boundary conditions." Vestnik of Astrakhan State Technical University. Series: Management, computer science and informatics 2023, no. 4 (November 9, 2023): 89–96. http://dx.doi.org/10.24143/2072-9502-2023-4-89-96.

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Using additional boundary conditions (ABC) and an additional sought function (ASF), a solution to the heat conduction problem with non-homogeneous boundary conditions has been obtained. ABC allows satisfying the differential equation at the boundaries, leading to its fulfillment both inside the domain and without resorting to integration over Cartesian coordinates. ASF reduces the original partial differential equation to a temporal ordinary equation, from which the eigenvalues of the boundary value problem are determined, as formulated in the classical methods of the Sturm-Liouville problem, stated in spatial variables. Thus, this work considers an alternative way of determining eigenvalues. The integration constants are found from the initial condition using the least squares method, which allows their values to be determined with a given accuracy. The solution obtained based on ABC and ASF approximates n → ∞ the exact analytical solution in the form of an infinite series, including trigonometric coordinate functions with coefficients that stabilize exponentially in time. In this case, the eigenvalues determined from the solution of the temporal ordinary differential equation regarding the additional sought function coincide with their exact values at any approximation. The accuracy of the integration constants, determined by the method of least squares, is controlled by the number of approximation points in the range of the auxiliary variable's variation. It should be noted that the additional boundary conditions considered in this work hold true for any other method of obtaining a solution to the problem under consideration, including the exact method, as can be verified by direct substitution. Therefore, their introduction does not distort the original mathematical formulation of the problem but only significantly simplifies the process of obtaining its analytical solution.

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17

Ruelle, Philippe. "Symmetric boundary conditions in boundary critical phenomena." Journal of Physics A: Mathematical and General 32, no. 50 (December 2, 1999): 8831–50. http://dx.doi.org/10.1088/0305-4470/32/50/305.

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18

Anichini, G., and G. Conti. "Boundary-value problems with nonlinear boundary conditions." Nonlinearity 1, no. 4 (November 1, 1988): 531–40. http://dx.doi.org/10.1088/0951-7715/1/4/003.

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19

Karakostas, G. L., and P. K. Palamides. "Boundary Value Problems with Compatible Boundary Conditions." Czechoslovak Mathematical Journal 55, no. 3 (September 2005): 581–92. http://dx.doi.org/10.1007/s10587-005-0047-4.

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20

Yildiran, Ibrahim Nasuh, Nikolaos Beratlis, Francesco Capuano, Yue-Hin Loke, Kyle Squires, and Elias Balaras. "Pressure boundary conditions for immersed-boundary methods." Journal of Computational Physics 510 (August 2024): 113057. http://dx.doi.org/10.1016/j.jcp.2024.113057.

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21

Wang, Y., C. Shu, and L. M. Yang. "Boundary condition-enforced immersed boundary-lattice Boltzmann flux solver for thermal flows with Neumann boundary conditions." Journal of Computational Physics 306 (February 2016): 237–52. http://dx.doi.org/10.1016/j.jcp.2015.11.046.

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22

G "ur, H. "Relativistic Electromagnetic Boundary Conditions." Progress In Electromagnetics Research 23 (1999): 107–36. http://dx.doi.org/10.2528/pier98101601.

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23

Basu, B. N. "Boundary Conditions in Electromagnetics." IETE Journal of Education 33, no. 3 (July 1992): 183–90. http://dx.doi.org/10.1080/09747338.1992.11436377.

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24

Yeh, C. "Boundary conditions in electromagnetics." Physical Review E 48, no. 2 (August 1, 1993): 1426–27. http://dx.doi.org/10.1103/physreve.48.1426.

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25

Juffer, A. H., and H. J. C. Berendsen. "Dynamic surface boundary conditions." Molecular Physics 79, no. 3 (June 20, 1993): 623–44. http://dx.doi.org/10.1080/00268979300101501.

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26

Wallen, Henrik, Ismo V. Lindell, and Ari Sihvola. "Mixed-Impedance Boundary Conditions." IEEE Transactions on Antennas and Propagation 59, no. 5 (May 2011): 1580–86. http://dx.doi.org/10.1109/tap.2011.2123064.

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27

Carnevale, George F., Fabio Cavallini, and Fulvio Crisciani. "Dynamic Boundary Conditions Revisited." Journal of Physical Oceanography 31, no. 8 (August 2001): 2489–97. http://dx.doi.org/10.1175/1520-0485(2001)031<2489:dbcr>2.0.co;2.

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28

Altmann, Robert. "Moving Dirichlet boundary conditions." ESAIM: Mathematical Modelling and Numerical Analysis 48, no. 6 (October 10, 2014): 1859–76. http://dx.doi.org/10.1051/m2an/2014022.

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29

von Gersdorff, G., L. Pilo, M. Quirós, A. Riotto, and V. Sanz. "Supersymmetry from boundary conditions." Nuclear Physics B 712, no. 1-2 (April 2005): 3–19. http://dx.doi.org/10.1016/j.nuclphysb.2005.01.004.

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30

Craven, B. D. "Boundary conditions optimal control." Journal of the Australian Mathematical Society. Series B. Applied Mathematics 30, no. 3 (January 1989): 343–49. http://dx.doi.org/10.1017/s0334270000006287.

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AbstractA simple rigorous approach is given to finding boundary conditions for the adjoint differential equation in an optimal control problem. The boundary conditions for a time-optimal problem are calculated from the simpler conditions for a fixed-time problem.

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31

McDonald, Terry. "Splines with boundary conditions." Computers & Mathematics with Applications 54, no. 9-10 (November 2007): 1234–39. http://dx.doi.org/10.1016/j.camwa.2006.10.034.

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32

Yevick, David, Yosef Yayon, and Jun Yu. "Optimal absorbing boundary conditions." Journal of the Optical Society of America A 12, no. 1 (January 1, 1995): 107. http://dx.doi.org/10.1364/josaa.12.000107.

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33

Manteuffel, Thomas A., and Seymour V. Parter. "Preconditioning and Boundary Conditions." SIAM Journal on Numerical Analysis 27, no. 3 (June 1990): 656–94. http://dx.doi.org/10.1137/0727040.

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34

Speirs, A. D., M. O. Heller, W. R. Taylor, and G. N. Duda. "Physiologically-relevant boundary conditions." Journal of Biomechanics 39 (January 2006): S645. http://dx.doi.org/10.1016/s0021-9290(06)85691-5.

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35

Givoli, Dan. "Non-reflecting boundary conditions." Journal of Computational Physics 94, no. 1 (May 1991): 1–29. http://dx.doi.org/10.1016/0021-9991(91)90135-8.

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36

Gnecco, Giorgio, Marco Gori, and Marcello Sanguineti. "Learning with Boundary Conditions." Neural Computation 25, no. 4 (April 2013): 1029–106. http://dx.doi.org/10.1162/neco_a_00417.

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Kernel machines traditionally arise from an elegant formulation based on measuring the smoothness of the admissible solutions by the norm in the reproducing kernel Hilbert space (RKHS) generated by the chosen kernel. It was pointed out that they can be formulated in a related functional framework, in which the Green’s function of suitable differential operators is thought of as a kernel. In this letter, our own picture of this intriguing connection is given by emphasizing some relevant distinctions between these different ways of measuring the smoothness of admissible solutions. In particular, we show that for some kernels, there is no associated differential operator. The crucial relevance of boundary conditions is especially emphasized, which is in fact the truly distinguishing feature of the approach based on differential operators. We provide a general solution to the problem of learning from data and boundary conditions and illustrate the significant role played by boundary conditions with examples. It turns out that the degree of freedom that arises in the traditional formulation of kernel machines is indeed a limitation, which is partly overcome when incorporating the boundary conditions. This likely holds true in many real-world applications in which there is prior knowledge about the expected behavior of classifiers and regressors on the boundary.

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37

Hark, Myunghark, and Herbert Neuberger. "Self-consistent boundary conditions." Physics Letters B 164, no. 4-6 (December 1985): 337–41. http://dx.doi.org/10.1016/0370-2693(85)90337-5.

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38

Grote, Marcus J., and Joseph B. Keller. "On Nonreflecting Boundary Conditions." Journal of Computational Physics 122, no. 2 (December 1995): 231–43. http://dx.doi.org/10.1006/jcph.1995.1210.

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39

Jeng, Shyh-Kang, and Shung-Wu Lee. "Thin-film boundary conditions." Microwave and Optical Technology Letters 5, no. 13 (December 1992): 682–85. http://dx.doi.org/10.1002/mop.4650051310.

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40

Guo, Jianwei, Stéphanie Veran-Tissoires, and Michel Quintard. "Effective surface and boundary conditions for heterogeneous surfaces with mixed boundary conditions." Journal of Computational Physics 305 (January 2016): 942–63. http://dx.doi.org/10.1016/j.jcp.2015.10.050.

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41

Furtado, Liliane, Filipe Sobral, and Gustavo Tavares. "Team Boundary Spanning-Performance Relationship: Exploring Boundary Conditions." Academy of Management Proceedings 2018, no. 1 (August 2018): 11645. http://dx.doi.org/10.5465/ambpp.2018.11645abstract.

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42

Graef, John R., Lingju Kong, Qingkai Kong, and Min Wang. "Fractional boundary value problems with integral boundary conditions." Applicable Analysis 92, no. 10 (October 2013): 2008–20. http://dx.doi.org/10.1080/00036811.2012.715151.

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43

Shen, Jianhua, and Weibing Wang. "Impulsive boundary value problems with nonlinear boundary conditions." Nonlinear Analysis: Theory, Methods & Applications 69, no. 11 (December 2008): 4055–62. http://dx.doi.org/10.1016/j.na.2007.10.036.

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44

Betcke, Timo, Erik Burman, and Matthew W. Scroggs. "Boundary Element Methods with Weakly Imposed Boundary Conditions." SIAM Journal on Scientific Computing 41, no. 3 (January 2019): A1357—A1384. http://dx.doi.org/10.1137/18m119625x.

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45

Drewniak, J., and Z. Pawicki. "Boundary element method for fluctuations of boundary conditions." Mechanics Research Communications 12, no. 3 (May 1985): 113–18. http://dx.doi.org/10.1016/0093-6413(85)90015-1.

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46

Behrndt, Jussi. "Boundary value problems with eigenvalue depending boundary conditions." Mathematische Nachrichten 282, no. 5 (April 16, 2009): 659–89. http://dx.doi.org/10.1002/mana.200610763.

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47

Eardley, Douglas M. "Black hole boundary conditions and coordinate conditions." Physical Review D 57, no. 4 (February 15, 1998): 2299–304. http://dx.doi.org/10.1103/physrevd.57.2299.

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48

Yasuda, Kimihiko, and Yoshitsugu Goto. "Experimental Identification Technique for Boundary Conditions of a Beam (When Boundary Conditious are Linear)." Transactions of the Japan Society of Mechanical Engineers Series C 60, no. 570 (1994): 482–89. http://dx.doi.org/10.1299/kikaic.60.482.

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49

Lepin, A. Ya, and L. A. Lepin. "On a boundary value problem with integral boundary conditions." Differential Equations 51, no. 12 (December 2015): 1666–68. http://dx.doi.org/10.1134/s0012266115120149.

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50

Benchohra, Mouffak, Juan J. Nieto, and Abdelghani Ouahab. "Second-Order Boundary Value Problem with Integral Boundary Conditions." Boundary Value Problems 2011 (2011): 1–9. http://dx.doi.org/10.1155/2011/260309.

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