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Journal articles on the topic 'Transmission problem'

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Published: 4 June 2021

Last updated: 14 September 2024

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1

Alves, Margareth S., Jaime E. Muñoz Rivera, Mauricio Sepúlveda, and Octavio Vera Villagrán. "Transmission Problem in Thermoelasticity." Boundary Value Problems 2011 (2011): 1–33. http://dx.doi.org/10.1155/2011/190548.

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2

Anderson, J. Gerard. "Power line transmission problem." Physics Teacher 25, no. 7 (October 1987): 417. http://dx.doi.org/10.1119/1.2342297.

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3

Colton, David, Lassi Päivärinta, and John Sylvester. "The interior transmission problem." Inverse Problems & Imaging 1, no. 1 (2007): 13–28. http://dx.doi.org/10.3934/ipi.2007.1.13.

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4

Robinson, Enders A. "Inversion of a seismic transmission response." GEOPHYSICS 66, no. 4 (July 2001): 1235–39. http://dx.doi.org/10.1190/1.1487070.

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Traveling waves are used not only in exploration geophysics but also in other disciplines faced with remote detection problems. A physical system may be described in terms of the input (the source), the medium, and the output (the received signal). The received signal can be made up of either transmitted waves or reflected waves. Two types of inverse problems can be considered, namely, the inverse source problem and the inverse medium problem. In the inverse source problem, the objective is to determine the source. In the inverse medium problem, the objective is to determine the medium. Thus, in terms of this general classification, four types of problems can be encountered, namely, an inverse source problem with transmitted waves, an inverse source problem with reflected waves, an inverse medium problem with transmitted waves, and an inverse medium problem with reflected waves. Let us look at nature. Twinkle, twinkle, little star. The transmission of starlight though the atmosphere makes the star twinkle. A better image of the star can be obtained by solving an inverse source problem using the transmitted starlight. In the typical inverse source problem, the source of energy is remote, the medium transmits the source signal, and the received data are the transmitted waves. Examples are classical earthquake seismology, radio transmission, and passive sonar. Shakespeare said; “For the eye sees not by itself, but by reflection.” Thus the miracle of eyesight solves an inverse medium problem that uses reflected waves. In the typical inverse medium problem, the source of energy is local and often man‐made, the medium reflects the source signal, and the received data are the reflected waves. Examples are reflection seismology, radar, and active sonar. Thus, the two principle types of inverse problems encountered in nature are the inverse source problem with transmitted waves and the inverse medium problem with reflected waves.

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5

Cakoni, Fioralba, David Colton, and Drossos Gintides. "The Interior Transmission Eigenvalue Problem." SIAM Journal on Mathematical Analysis 42, no. 6 (January 2010): 2912–21. http://dx.doi.org/10.1137/100793542.

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6

Yan, Guozheng. "Inverse scattering for transmission problem." Computers & Mathematics with Applications 44, no. 3-4 (August 2002): 439–44. http://dx.doi.org/10.1016/s0898-1221(02)00160-8.

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7

Medková, Dagmar. "Solution of the Transmission Problem." Acta Applicandae Mathematicae 110, no. 3 (June 6, 2009): 1489–500. http://dx.doi.org/10.1007/s10440-009-9522-5.

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8

Cakoni, Fioralba, David Colton, and Jacob D. Rezac. "The Born transmission eigenvalue problem." Inverse Problems 32, no. 10 (September 12, 2016): 105014. http://dx.doi.org/10.1088/0266-5611/32/10/105014.

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9

Ola, P. "Remarks on a Transmission Problem." Journal of Mathematical Analysis and Applications 196, no. 2 (December 1995): 639–58. http://dx.doi.org/10.1006/jmaa.1995.1431.

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10

Julia, Orlik. "Transmission problem for viscoelastic aging." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 80, S2 (2000): 405–6. http://dx.doi.org/10.1002/zamm.20000801474.

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11

Hitrik, Michael, Katsiaryna Krupchyk, Petri Ola, and Lassi Päivärinta. "The interior transmission problem and bounds on transmission eigenvalues." Mathematical Research Letters 18, no. 2 (2011): 279–93. http://dx.doi.org/10.4310/mrl.2011.v18.n2.a7.

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12

Gogu, Ada, Dritan Nace, Supriyo Chatterjea, and Arta Dilo. "Max-Min Fair Link Quality in WSN Based on SINR." Journal of Applied Mathematics 2014 (2014): 1–11. http://dx.doi.org/10.1155/2014/693212.

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This paper addresses first the problem of max-min fair (MMF) link transmissions in wireless sensor networks (WSNs) and in a second stage studies the joint link scheduling and transmission power assignment problem. Given a set of concurrently transmitting links, the MMF link transmission problem looks for transmission powers of nodes such that the signal-to-interference and noise ratio (SINR) values of active links satisfy max-min fairness property. By guaranteeing a “fair” transmission medium (in terms of SINR), other network requirements may be directly affected, such as the schedule length, the throughput (number of concurrent links in a time slot), and energy savings. Hence, the whole problem seeks to find a feasible schedule and a power assignment scheme such that the schedule length is minimized and the concurrent transmissions have a fair quality in terms of SINR. The focus of this study falls on the transmission power control strategy, which ensures that every node that is transmitting in the network chooses a transmission power that will minimally affect the other concurrent transmissions and, even more, achieves MMF SINR values of concurrent link transmissions. We show that this strategy may have an impact on reducing the network time schedule.

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13

Milovanovic-Jeknic, Zorica. "Parabolic-hyperbolic transmission problem in disjoint domains." Filomat 32, no. 20 (2018): 6911–20. http://dx.doi.org/10.2298/fil1820911m.

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In applications, especially in engineering, often are encountered composite or layered structures, where the properties of individual layers can vary considerably from the properties of the surrounding material. Layers can be structural, thermal, electromagnetic or optical, etc. Mathematical models of energy and mass transfer in domains with layers lead to so called transmission problems. In this paper we investigate a mixed parabolic-hyperbolic initial-boundary value problem in two nonadjacent rectangles with nonlocal integral conjugation conditions. It was considered more examples of physical and engineering tasks which are reduced to transmission problems of similar type. For the model problem the existence and uniqueness of its weak solution in appropriate Sobolev-like space is proved. A finite difference scheme approximating this problem is proposed and analyzed.

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14

Yang, Chuan-Fu, and Sergey A. Buterin. "Isospectral sets for transmission eigenvalue problem." Journal of Inverse and Ill-posed Problems 28, no. 1 (February 1, 2020): 63–69. http://dx.doi.org/10.1515/jiip-2018-0058.

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AbstractWe consider the boundary value problem {R(a,q)}: {-y^{\prime\prime}(x)+q(x)y(x)=\lambda y(x)} with {y(0)=0} and {y(1)\cos(a\sqrt{\lambda})=y^{\prime}(1)\frac{\sin(a\sqrt{\lambda})}{\sqrt{% \lambda}}}. Motivated by the previous work [T. Aktosun and V. G. Papanicolaou, Reconstruction of the wave speed from transmission eigenvalues for the spherically symmetric variable-speed wave equation, Inverse Problems 29 2013, 6, Article ID 065007], it is natural to consider the following interesting question: how does one characterize isospectral sets corresponding to problem {R(1,q)}? In this paper applying constructive methods we answer the above question.

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15

Athanasiadis, Christodoulos, and Ioannis Stratis. "On a transmission problem in elasticity." Annales Polonici Mathematici 68, no. 3 (1998): 281–300. http://dx.doi.org/10.4064/ap-68-3-281-300.

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16

Fatori, Luci Harue, Edson Lueders, and Jaime E. Muñoz Rivera. "TRANSMISSION PROBLEM FOR HYPERBOLIC THERMOELASTIC SYSTEMS." Journal of Thermal Stresses 26, no. 7 (July 2003): 739–63. http://dx.doi.org/10.1080/713855994.

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17

Medková, D. "Transmission problem for the Brinkman system." Complex Variables and Elliptic Equations 59, no. 12 (February 5, 2014): 1664–78. http://dx.doi.org/10.1080/17476933.2013.870563.

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18

Muñoz Rivera, Jaime E., Octavio Vera Villagran, and Mauricio Sepulveda. "Stability to localized viscoelastic transmission problem." Communications in Partial Differential Equations 43, no. 5 (May 4, 2018): 821–38. http://dx.doi.org/10.1080/03605302.2018.1475490.

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19

Roy, D. N. Ghosh, J. Warner, L. S. Couchman, and J. Shirron. "Inverse obstacle transmission problem in acoustics." Inverse Problems 14, no. 4 (August 1, 1998): 903–29. http://dx.doi.org/10.1088/0266-5611/14/4/010.

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20

Faierman, Melvin. "The Interior Transmission Problem: Spectral Theory." SIAM Journal on Mathematical Analysis 46, no. 1 (January 2014): 803–19. http://dx.doi.org/10.1137/130922215.

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21

Cakoni, Fioralba, and Andreas Kirsch. "On the interior transmission eigenvalue problem." International Journal of Computing Science and Mathematics 3, no. 1/2 (2010): 142. http://dx.doi.org/10.1504/ijcsm.2010.033932.

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22

Blumsack, Seth, Lester B. Lave, and Marija Ilić. "The Real Problem with Merchant Transmission." Electricity Journal 21, no. 2 (March 2008): 9–19. http://dx.doi.org/10.1016/j.tej.2008.01.013.

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23

Muñoz Rivera, Jaime E., and Higidio Portillo Oquendo. "A transmission problem for thermoelastic plates." Quarterly of Applied Mathematics 62, no. 2 (June 1, 2004): 273–93. http://dx.doi.org/10.1090/qam/2054600.

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24

Rivera, Jaime E. Muñoz, and Higidio Portillo Oquendo. "THE TRANSMISSION PROBLEM FOR THERMOELASTIC BEAMS." Journal of Thermal Stresses 24, no. 12 (December 2001): 1137–58. http://dx.doi.org/10.1080/014957301753251665.

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25

Marzocchi, A. "Transmission problem in thermoelasticity with symmetry." IMA Journal of Applied Mathematics 68, no. 1 (February 1, 2003): 23–46. http://dx.doi.org/10.1093/imamat/68.1.23.

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26

Alexandrova, I. L., and E. A. Osipov. "The problem of electromagnetic wave transmission in a circular waveguide." Journal of Physics: Conference Series 2388, no. 1 (December 1, 2022): 012094. http://dx.doi.org/10.1088/1742-6596/2388/1/012094.

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Abstract The article deals with the problem of transmission in a circular waveguide, in the cross section of which there is a thin metal screen. The waveguide is bounded by a perfectly conducting surface. The transmission problem is an auxiliary problem that arose when solving inverse diffraction problems. In the transmission problem, it is required to find the electromagnetic field in the waveguide on one side of the screen by a given field on the other side of the screen: both by given waves incident on the screen and by given waves leaving the screen to infinity. It is shown how the transmission problem can be reduced to an infinite system of linear algebraic equations. To solve the resulting system, it is proposed to use the truncation method. We study under what conditions the numerical solution of the transmission problem will be stable to small perturbations of the input data.

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27

Cobani, Besiana, Aurora Simoni, and Ledia Subashi. "Important Issues on Spectral Properties of a Transmission Eigenvalue Problem." International Journal of Differential Equations 2021 (August 30, 2021): 1–7. http://dx.doi.org/10.1155/2021/5795940.

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Nowadays, inverse scattering is an important field of interest for many mathematicians who deal with partial differential equations theory, and the research in inverse scattering is in continuous progress. There are many problems related to scattering by an inhomogeneous media. Here, we study the transmission eigenvalue problem corresponding to a new scattering problem, where boundary conditions differ from any other interior problem studied previously. more specifically, instead of prescribing the difference Cauchy data on the boundary which is the classical form of the problem, we consider the case when the difference of the trace of the fields is proportional to the normal derivative of the field. Typical concerns related to TEP (transmission eigenvalue problem) are Fredholm property and solvability, the discreteness of the transmission eigenvalues, and their existence. In this article, we provide answers for all these concerns in a given interior transmission problem for an inhomogeneous media. We use the variational method and a very important theorem on the existence of transmission eigenvalues to arrive at the conclusion of the existence of the transmission eigenvalues.

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28

Nadel, Bernard A., and Jiang Lin. "Automobile transmission design as a constraint satisfaction problem: modelling the kinematic level." Artificial Intelligence for Engineering Design, Analysis and Manufacturing 5, no. 3 (August 1991): 137–71. http://dx.doi.org/10.1017/s0890060400002651.

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This paper describes our preliminary results in applying constraint satisfaction techniques in a system we call TRANS-FORM for designing automatic automobile power transmissions. The work is being conducted in collaboration with the Ford Motor Company Advanced Transmission Design Department in Livonia, Michigan. Our current focus is on the design of the mechanical subsystem, but we anticipate extending this later to the electrical and hydraulic subsystems also. For simplicity, in the initial work reported here we restrict ourselves to the relatively well-explored class of transmissions having four forward speeds and one reverse speed, built from two planetary gearsets, cross-connected by two permanent links. Moreover, we pursue design of such transmissions only at the ‘kinematic level’. These two restrictions correspond to limiting respectively the breadth (generality) and the depth (detail or granularity) of the search space employed. We find that, at least for the restricted version of the problem pursued here, transmission design is an application very naturally formulated as a constraint satisfaction problem. Our present problem requires only 10 variables, with an average of about seven values each, and 43 constraints—making it similar in difficulty to about the 10-queens problem. So far, two of the classic transmissions, known as Axod and HydraMatic, have been rediscovered (at the kinematic level) by our program. Preliminary results also indicate that the constraint satisfaction framework will continue to remain adequate and natural even when the search space is allowed to be much broader and deeper. We expect that searches of such expanded spaces will soon lead to the discovery of totally new transmissions.

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29

Bellassoued, M., and M. Yamamoto. "Inverse source problem for a transmission problem for a parabolic equation." Journal of Inverse and Ill-posed Problems 14, no. 1 (January 2006): 47–56. http://dx.doi.org/10.1515/156939406776237456.

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30

JOVANOVIC, B. S., and L. G. VULKOV. "Numerical Solution Of A Hyperbolic Transmission Problem." Computational Methods in Applied Mathematics 8, no. 4 (2008): 374–85. http://dx.doi.org/10.2478/cmam-2008-0027.

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AbstractIn this paper we investigate an initial boundary value problem for a one-dimensional hyperbolic equation in two disconnected intervals. A finite difference scheme approximating this problem is proposed and analyzed. An estimate of the convergence rate has been obtained.

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31

Stefanov, Plamen, Gunther Uhlmann, and András Vasy. "The transmission problem in linear isotropic elasticity." Pure and Applied Analysis 3, no. 1 (May 28, 2021): 109–61. http://dx.doi.org/10.2140/paa.2021.3.109.

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32

Jung, Peter, and Gerhard Wunder. "WSSUS Pulse Design Problem in Multicarrier Transmission." IEEE Transactions on Communications 55, no. 9 (September 2007): 1822. http://dx.doi.org/10.1109/tcomm.2007.904352.

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33

Messelmi, Farid, and Abdelbaki Merouani. "Quasi-Static Transmission Problem in Thermo-Viscoplasticity." International Journal of Open Problems in Computer Science and Mathematics 6, no. 3 (September 2013): 29–46. http://dx.doi.org/10.12816/0006181.

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34

Athanasiadis, Christodoulos, and Ioannis G. Stratis. "A Transmission problem for bi-isotropic media." Applicable Analysis 77, no. 3-4 (April 2001): 195–209. http://dx.doi.org/10.1080/00036810108840904.

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35

Lee, Kuo-Ming. "Transmission scattering problem via a DtN map." Journal of Mathematical Physics 58, no. 3 (March 2017): 033502. http://dx.doi.org/10.1063/1.4977479.

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36

Nitsche, Ludwig C. "Pseudo-sedimentation dialysis: an elliptic transmission problem." Quarterly of Applied Mathematics 52, no. 1 (March 1, 1994): 83–102. http://dx.doi.org/10.1090/qam/1262321.

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37

Goltsman, Maria. "Optimal information transmission in a holdup problem." RAND Journal of Economics 42, no. 3 (September 2011): 495–526. http://dx.doi.org/10.1111/j.1756-2171.2011.00141.x.

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38

Syrmos, V. L. "On the finite transmission zero assignment problem." Automatica 29, no. 4 (July 1993): 1121–26. http://dx.doi.org/10.1016/0005-1098(93)90112-7.

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39

Sare, Hugo D. Fernández, and Jaime E. Muñoz Rivera. "Analyticity of transmission problem to thermoelastic plates." Quarterly of Applied Mathematics 69, no. 1 (December 9, 2010): 1–13. http://dx.doi.org/10.1090/s0033-569x-2010-01187-6.

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40

Jovanovic, B. S., and L. G. Vulkov. "Numerical solution of a parabolic transmission problem." IMA Journal of Numerical Analysis 31, no. 1 (September 10, 2009): 233–53. http://dx.doi.org/10.1093/imanum/drn077.

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41

Leis, R., and G. F. Roach. "A transmission problem for the plate equation." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 99, no. 3-4 (1985): 285–312. http://dx.doi.org/10.1017/s0308210500014311.

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SynopsisA scattering theory is developed for transmission problems associated with the plate equation. Asymptotic methods of solution for large time are examined as are questions concerning regularity of solution, nature of the associated spectrum and existence of appropriate wave operators. It is shown that in contrast to solutions of the wave equation, signals can propagate with an infinite dispersion velocity.

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42

Dalla Riva, M., and G. Mishuris. "Existence results for a nonlinear transmission problem." Journal of Mathematical Analysis and Applications 430, no. 2 (October 2015): 718–41. http://dx.doi.org/10.1016/j.jmaa.2015.05.019.

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43

Bagnerini, Patrizia, Annalisa Buffa, and Elisa Vacca. "Finite elements for a prefractal transmission problem." Comptes Rendus Mathematique 342, no. 3 (February 2006): 211–14. http://dx.doi.org/10.1016/j.crma.2005.11.023.

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44

Lancia, Maria Rosaria. "A Transmission Problem with a Fractal Interface." Zeitschrift für Analysis und ihre Anwendungen 21, no. 1 (2002): 113–33. http://dx.doi.org/10.4171/zaa/1067.

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45

Cogar, Samuel, David Colton, and Yuk-J. Leung. "The inverse spectral problem for transmission eigenvalues." Inverse Problems 33, no. 5 (April 5, 2017): 055015. http://dx.doi.org/10.1088/1361-6420/aa66d2.

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46

Kriventsov, Dennis. "Regularity for a Local–Nonlocal Transmission Problem." Archive for Rational Mechanics and Analysis 217, no. 3 (February 25, 2015): 1103–95. http://dx.doi.org/10.1007/s00205-015-0851-4.

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47

Cedeño, Enrique B., and Sant Arora. "Convexification method for bilinear transmission expansion problem." International Transactions on Electrical Energy Systems 24, no. 5 (February 17, 2013): 638–52. http://dx.doi.org/10.1002/etep.1721.

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48

Gao, Yating, Guixia Kang, and Jianming Cheng. "An Opportunistic Cooperative Packet Transmission Scheme in Wireless Multi-Hop Networks." Sensors 19, no. 21 (November 5, 2019): 4821. http://dx.doi.org/10.3390/s19214821.

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Cooperative routing, combining cooperative communication in the physical layer and routing technology in the network layer, is one of the most widely used technologies for improving end-to-end transmission reliability and delay in the wireless multi-hop networks. However, the existing cooperative routing schemes are designed based on an optimal fixed-path routing so that the end-to-end performance is greatly restricted by the low spatial efficiency. To address this problem, in this paper an opportunistic cooperative packet transmission (OCPT) scheme is explored by combining cooperative communication and opportunistic routing. The proposed scheme divides the multi-hop route into multiple virtual multiple-input-multiple-output (MIMO) transmissions. Before each transmission, based on the idea of opportunistic routing, a cluster head (CH) is introduced to determine the multiple transmitters and multiple receivers to form a cluster. Then, the single-hop transmission distance is defined as the metric of forward progress to the destination. Each intra-cluster cooperative packet transmission is formulated as a transmit beamforming optimization problem, and an iterative optimal beamforming policy is proposed to solve the problem and maximize the single-hop transmission distance. CH organizes multiple transmitters to cooperatively transmit packets to multiple receivers with the optimized transmit beamforming vector. Finally, according to the transmission results, the cluster is updated and the new cooperative transmission is started. Iteratively, the transmission lasts until the destination has successfully received the packet. We comprehensively evaluate the OCPT scheme by comparing it with conventional routing schemes. The simulation results demonstrate that the proposed OCPT scheme is effective on shortening the end-to-end transmission delay, increasing the number of successful packet transmissions and improving the packet arrival ratio and transmission efficiency.

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49

Nakamura, Gen, and Haibing Wang. "Solvability of interior transmission problem for the diffusion equation by constructing its Green function." Journal of Inverse and Ill-posed Problems 27, no. 5 (October 1, 2019): 671–701. http://dx.doi.org/10.1515/jiip-2018-0027.

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Abstract Consider the interior transmission problem arising in inverse boundary value problems for the diffusion equation with discontinuous diffusion coefficients. We prove the unique solvability of the interior transmission problem by constructing its Green function. First, we construct a local parametrix for the interior transmission problem near the boundary in the Laplace domain, by using the theory of pseudo-differential operators with a large parameter. Second, by carefully analyzing the analyticity of the local parametrix in the Laplace domain and estimating it there, a local parametrix for the original parabolic interior transmission problem is obtained via the inverse Laplace transform. Finally, using a partition of unity, we patch all the local parametrices and the fundamental solution of the diffusion equation to generate a global parametrix for the parabolic interior transmission problem and then compensate it to get the Green function by the Levi method. The uniqueness of the Green function is justified by using the duality argument, and then the unique solvability of the interior transmission problem is concluded. We would like to emphasize that the Green function for the parabolic interior transmission problem is constructed for the first time in this paper. It can be applied for active thermography and diffuse optical tomography modeled by diffusion equations to identify an unknown inclusion and its physical property.

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50

Bolaños Ocampo, Ricardo Andrés, Carlos Adrián Correa Flórez, and Antonio Hernando Escobar Zuluaga. "Multiobjective transmission expansion planning considering security and demand uncertainty." Ingeniería e Investigación 29, no. 3 (September 1, 2009): 74–78. http://dx.doi.org/10.15446/ing.investig.v29n3.15186.

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This paper presents a methodology for resolving the transmission expansion planning problem by considering single contingency criteria (N-1). Each bus bar in the power system considered future demand uncertainty. The planning problem was divided into an investment problem (calculating investment costs) and an operative problem (resolving power flows). A modified evolutionary elitist non-dominated sorted genetic algorithm (NSGA-II) was used for resolving the investment problem, determining several investment proposals where feasibility was evaluated by solving the operative problem. On the other hand, a high order interior point (HOIP) method was proposed for solving load flow problems. The methodology was tested by using two systems found in the specialised literature: IEEE-24 bus and Garver or IEEE-6 bus systems. The results, when compared with traditional ones, showed the proposed method’s power and the multiobjective technique’s convenience.

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