Relevant bibliographies by topics / Gauss law

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Gauss law'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Gauss law"

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FLOREANINI, R., and R. PERCACCI. "ANOMALOUS GAUSS LAW ALGEBRAS." International Journal of Modern Physics A 04, no. 17 (October 20, 1989): 4581–91. http://dx.doi.org/10.1142/s0217751x89001953.

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Supplementing the Gauss law operator of an anomalous gauge theory with a certain set of functionals of the gauge potentials, one obtains a closed algebra. The algebras obtained in this way are Abelian extensions of the Lie algebra of the group of gauge transformations, and are natural generalizations of Kac-Moody algebras, both in two and four dimensions.
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Hensley, Doug. "A Truncated Gauss-Kuzmin Law." Transactions of the American Mathematical Society 306, no. 1 (March 1988): 307. http://dx.doi.org/10.2307/2000840.

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Dunne, G. V., and C. A. Trugenberger. "Covariant Gauss law commutator anomaly." Physics Letters B 248, no. 3-4 (October 1990): 305–10. http://dx.doi.org/10.1016/0370-2693(90)90297-j.

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Landy, Steven B. "Gauss’ law for noninverse square forces." American Journal of Physics 64, no. 6 (June 1996): 816–18. http://dx.doi.org/10.1119/1.18238.

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Buchholz, Detlev. "Gauss' law and the infraparticle problem." Physics Letters B 174, no. 3 (July 1986): 331–34. http://dx.doi.org/10.1016/0370-2693(86)91110-x.

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Wada, Tatsuaki, and Hiroki Suyari. "κ-generalization of Gauss' law of error." Physics Letters A 348, no. 3-6 (January 2006): 89–93. http://dx.doi.org/10.1016/j.physleta.2005.08.086.

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Lafferty, David, and Alexander Rothkopf. "Quarkonium Phenomenology from a Generalised Gauss Law." Universe 5, no. 5 (May 20, 2019): 119. http://dx.doi.org/10.3390/universe5050119.

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We present an improved analytic parametrisation of the complex in-medium heavy quark potential derived rigorously from the generalised Gauss law. To this end we combine in a self-consistent manner a non-perturbative vacuum potential with a weak-coupling description of the QCD medium. The resulting Gauss-law parametrisation is able to reproduce full lattice QCD data by using only a single temperature dependent parameter, the Debye mass m D . Using this parametrisation we model the in-medium potential at finite baryo-chemical potential, which allows us to estimate the Ψ ′ / J / Ψ ratio in heavy-ion collisions at different beam energies.
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Hensley, Doug. "A truncated Gauss-Kuz\cprime min law." Transactions of the American Mathematical Society 306, no. 1 (January 1, 1988): 307. http://dx.doi.org/10.1090/s0002-9947-1988-0927693-3.

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Dubey, Ritesh Kumar, V. J. Menon, Madhukar Mishra, Mukesh Kumar Pandey, and B. K. Patra. "Gauss law constraints on Debye-Hückel screening." Pramana 69, no. 3 (September 2007): 423–33. http://dx.doi.org/10.1007/s12043-007-0143-0.

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Kobayashi, Makoto, Koichi Seo, and Akio Sugamoto. "Commutator anomaly for the Gauss law constraint operator." Nuclear Physics B 273, no. 3-4 (September 1986): 607–28. http://dx.doi.org/10.1016/0550-3213(86)90380-9.

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Dissertations / Theses on the topic "Gauss law"

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Mittal, Nitish. "Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity." CSUSB ScholarWorks, 2016. https://scholarworks.lib.csusb.edu/etd/282.

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This project investigates the development of four different proofs of the law of quadratic reciprocity, in order to study the critical reasoning process that drives discovery in mathematics. We begin with an examination of the first proof of this law given by Gauss. We then describe Gauss’ fourth proof of this law based on Gauss sums, followed by a look at Eisenstein’s geometric simplification of Gauss’ third proof. Finally, we finish with an examination of one of the modern proofs of this theorem published in 1991 by Rousseau. Through this investigation we aim to analyze the different strategies used in the development of each of these proofs, and in the process gain a better understanding of this theorem.
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Marshall, Matthew Q. "Multi-camera uncalibrated visual servoing." Diss., Georgia Institute of Technology, 2013. http://hdl.handle.net/1853/49117.

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Uncalibrated visual servoing (VS) can improve robot performance without needing camera and robot parameters. Multiple cameras improve uncalibrated VS precision, but no works exist simultaneously using more than two cameras. The first data for uncalibrated VS simultaneously using more than two cameras are presented. VS performance is also compared for two different camera models: a high-cost camera and a low-cost camera, the difference being image noise magnitude and focal length. A Kalman filter based control law for uncalibrated VS is introduced and shown to be stable under the assumptions that robot joint level servo control can reach commanded joint offsets and that the servoing path goes through at least one full column rank robot configuration. Adaptive filtering by a covariance matching technique is applied to achieve automatic camera weighting, prioritizing the best available data. A decentralized sensor fusion architecture is utilized to assure continuous servoing with camera occlusion. The decentralized adaptive Kalman filter (DAKF) control law is compared to a classical method, Gauss-Newton, via simulation and experimentation. Numerical results show that DAKF can improve average tracking error for moving targets and convergence time to static targets. DAKF reduces system sensitivity to noise and poor camera placement, yielding smaller outliers than Gauss-Newton. The DAKF system improves visual servoing performance, simplicity, and reliability.
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Draper, Sandra D. "Evalutaion of certain exponential sums of quadratic functions over a finite fields of odd characteristic." [Tampa, Fla] : University of South Florida, 2006. http://purl.fcla.edu/usf/dc/et/SFE0001674.

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Petit, Frédéric. "Reverberation Chamber Modeling Using Finite-Difference Time-Domain Method." Diss., University of Marne la Vallée, 2002. http://hdl.handle.net/10919/71555.

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Since the last few years, the unprecedented growth of communication systems involving the propagation of electromagnetic waves is particularly due to developments in mobile phone technology. The reverberation chamber is a reliable bench-test, enabling the study of the effects of electromagnetic waves on a specific electronic appliance. However, the operating of a reverberation chamber being rather complicated, development of numerical models are of utmost importance to determine the crucial parameters to be considered.This thesis consists in the modelling and the simulation of the operating principles of a reverberation chamber by means of the Finite-Difference Time-Domain method. After a brief study based on field and power measurements performed in a reverberation chamber, the second chapter deals with the different problems encountered during the modelling. The consideration of losses being a very important factor in the operating of the chamber, two methods of implementation of these losses are set out in this chapter. Chapter~3 consists in the analysis of the influence of the stirrer on the first eigenmodes of the chamber; the latter modes can undergo a frequency shift of several MHz. Chapter~4 shows a comparison of results issued from high frequency simulations and theoretical statistical results. The problem of an object placed in the chamber, resulting in a field disturbance is also tackled. Finally, in the fifth chapter, a comparison of statistical results for stirrers having different shapes is set out.
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Rodríguez, Buitrago Carlos J. "Una revisión de la historia del descubrimiento de las geometrías no euclidianas." Doctoral thesis, Universitat Autònoma de Barcelona, 2013. http://hdl.handle.net/10803/129915.

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El geómetra griego Euclides empieza sus Elementos con una lista de 23 definiciones, 5 reglas lógicas, and 5 postulados. El postulado 5 se refiere a las rectas paralelas aquellas “líneas rectas que están en el mismo plano y al prolongarse indefinidamente en ambas direcciones, no se cortan”. El quinto postulado establece que: “Si una recta corta a otras dos y forma con ellas de un mismo de sus lados dos ángulos internos que suman menos dos restos, entonces las dos rectas si se prolongan indefinidamente se corta del lado en el que los ángulos dieron menos de dos rectos”. El “problema del quinto postulado” consiste en demostrar que este postulado es una consecuencia de los otros cuatro postulados de los Elementos. Como este postulado es equivalente “a la existencia y unicidad de una recta paralela a una recta dada por un punto exterior a ella”, también se lo conoce como el “problema de la teoría de las paralelas”. Desde Euclides, muchos matemáticos han tratado de probar el quinto postulado. Posidonio intento resolver el problema en la primera centuria del siglo I d.C., cuando el confundió líneas equidistantes con líneas paralelas. El problema del quinto postulado fue resuelto negativamente al final del siglo XIX. La pruebe definitiva es atribuida Beltrami en su trabajo Saggio di interpretazione della geometria non-euclidea [1868]. En este trabajo, Beltrami estudia una “superficie” dada por un disco de radio 1 dotado de un elemento de longitud de arco con curvatura constante negativa. De esta manera obtiene una geometría que satisface los postulados de Euclides excepto el quinto. Esta geometría es llamada no-euclidiana. En este trabajo revisamos la historia de este descubrimiento atribuido a Gauss, Bolyai y Lobatchevski. En clara analogía con la geometría esférica, Lambert en su Theorie der Parallellinien [1786] dice que en una “esfera imaginaria” la suma de los ángulos de un triángulo debería ser menor que π. Analizamos el papel jugado por esta esfera imaginaria en el desarrollo de la geometría no-euclidiana, y como sirvió a Gauss de guía. Más precisamente, analizamos un momento crucial en la historia del descubrimiento de la geometría no-euclidiana: la lectura que Gauss hizo del Apéndice de Bolyai en 1832, cinco años después de la publicación de Disquisitiones generales circa superficies curvas, bajo la suposición de que este trabajo esta investigación en los fundamentos de la geometría fue motivado por la búsqueda, entre las superficies del espacio, de la hipotética esfera imaginaria de Lambert. Desde este punto de vista, hemos podido responder algunas preguntas naturales a cerca de la historia de la geometría no-euclidiana; por ejemplo: 1. ¿Qué enfoque siguió Bolyai en el Apéndice? 2. ¿Por qué Gauss después de leer el Apéndice decidió no escribir nada sobre su descubrimiento de la geometría no-euclidiana? 3. ¿Qué relación existe entre las cantidades imaginarias y el problema de la teoría de las paralelas?
The Greek geometer Euclid began his Elements1 with a list of 23 definitions, 5 logical rules, and 5 postulates. The fifth postulate refers to parallel lines, which are defined as those “straight lines which, being in the same plane and being produced indefinitely in both directions, do not meet one another in either direction.” The fifth postulate states that: “If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the angles are less than two right angles.” The ‘problem of the fifth postulate’ consists of demonstrating that this postulate is a consequence of the other four postulates of the Elements. Since this postulate is equivalent to the existence and uniqueness of a straight line parallel to a given straight line through a given point, research in this direction is called ‘theory of parallels.’ Since Euclid, many mathematicians have tried to prove the fifth postulate. Posidonius attempted to solve the problem in the first century B.C., when he confused parallel straight lines with equidistant straight lines. The problem of the fifth postulate was resolved in the negative at the end of the 19th century. The definitive proof is attributed to Beltrami in his work Saggio di interpretazione della geometria non-euclidea [1868]. In this work he studies a “surface” given by the unit disc endowed with a length element, which he gives explicitly, with respect to which the curvature is constant and negative. In this way one obtains a geometry satisfying all of Euclid’s postulates except the fifth. This geometry is the so-called non-Euclidean geometry. In this work we review the history of this discovery. In a clear analogy with spherical geometry, Lambert states that in an “imaginary sphere” the sum of the angles of a triangle would be less than p. We analyze the role played by this imaginary sphere in the development of non-Euclidean geometry, and how it served Gauss as a guide. More precisely, we analyze a crucial moment in the history of the discovery of non-Euclidean geometry: Gauss’s reading of Bolyai’s Appendix in 1832, five years after the publication of Disquisitiones generales circa superficies curvas, on the assumption that his investigations into the foundations of geometry were aimed at finding, among the surfaces in space, Lambert’s hypothetical imaginary sphere. From this point of view, one is able to answer certain natural questions about the history of non-Euclidean geometry; for instance, answer some natural questions: 1. What approach was adopted by Gauss in his meditations? Was it the same as that adopted by Bolyai? 2. Why did Gauss feel that there was no longer any need to write anything more about it? 3. What is the relation between imaginary quantities and the problem of the theory of parallels?
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Truscott, Simon. "A heterogenous three-dimensional computational model for wood drying." Queensland University of Technology, 2004. http://eprints.qut.edu.au/15960/.

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The objective of this PhD research program is to develop an accurate and efficient heterogeneous three-dimensional computational model for simulating the drying of wood at temperatures below the boiling point of water. The complex macroscopic drying equations comprise a coupled and highly nonlinear system of physical laws for liquid and energy conservation. Due to the heterogeneous nature of wood, the physical model parameters strongly depend upon the local pore structure, wood density variation within growth rings and variations in primary and secondary system variables. In order to provide a realistic representation of this behaviour, a set of previously determined parameters derived using sophisticated image analysis methods and homogenisation techniques is embedded within the model. From the literature it is noted that current three-dimensional computational models for wood drying do not take into consideration the heterogeneities of the medium. A significant advance made by the research conducted in this thesis is the development of a three - dimensional computational model that takes into account the heterogeneous board material properties which vary within the transverse plane with respect to the pith position that defines the radial and tangential directions. The development of an accurate and efficient computational model requires the consideration of a number of significant numerical issues, including the virtual board description, an effective mesh design based on triangular prismatic elements, the control volume finite element discretisation process for the cou- pled conservation laws, the derivation of an accurate dux expression based on gradient approximations together with flux limiting, and finally the solution of a large, coupled, nonlinear system using an inexact Newton method with a suitably preconditioned iterative linear solver for computing the Newton correction. This thesis addresses all of these issues for the case of low temperature drying of softwood. Specific case studies are presented that highlight the efficiency of the proposed numerical techniques and illustrate the complex heat and mass transport processes that evolve throughout drying.
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Jacmenovic, Dennis, and dennis_jacman@yahoo com au. "Optimisation of Active Microstrip Patch Antennas." RMIT University. Electrical and Computer Engineering, 2004. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20060307.144507.

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This thesis presents a study of impedance optimisation of active microstrip patch antennas to multiple frequency points. A single layered aperture coupled microstrip patch antenna has been optimised to match the source reflection coefficient of a transistor in designing an active antenna. The active aperture coupled microstrip patch antenna was optimised to satisfy Global Positioning System (GPS) frequency specifications. A rudimentary aperture coupled microstrip patch antenna consists of a rectangular antenna element etched on the top surface of two dielectric substrates. The substrates are separated by a ground plane and a microstrip feed is etched on the bottom surface. A rectangular aperture in the ground plane provides coupling between the feed and the antenna element. This type of antenna, which conveniently isolates any circuit at the feed from the antenna element, is suitable for integrated circuit design and is simple to fabricate. An active antenna design directly couples an antenna to an active device, therefore saving real estate and power. This thesis focuses on designing an aperture coupled patch antenna directly coupled to a low noise amplifier as part of the front end of a GPS receiver. In this work an in-house software package, dubbed ACP by its creator Dr Rod Waterhouse, for calculating aperture coupled microstrip patch antenna performance parameters was linked to HP-EEsof, a microwave computer aided design and simulation package by Hewlett-Packard. An ANSI C module in HP-EEsof was written to bind the two packages. This process affords the client the benefit of powerful analysis tools offered in HP-EEsof and the fast analysis of ACP for seamless system design. Moreover, the optimisation algorithms in HP-EEsof were employed to investigate which algorithms are best suited for optimising patch antennas. The active antenna design presented in this study evades an input matching network, which is accomplished by designing the antenna to represent the desired source termination of a transistor. It has been demonstrated that a dual-band microstrip patch antenna can be successfully designed to match the source reflection coefficient, avoiding the need to insert a matching network. Maximum power transfer in electrical circuits is accomplished by matching the impedance between entities, which is generally acheived with the use of a matching network. Passive matching networks employed in amplifier design generally consist of discrete components up to the low GHz frequency range or distributed elements at greater frequencies. The source termination for a low noise amplifier will greatly influence its noise, gain and linearity which is controlled by designing a suitable input matching network. Ten diverse search methods offered in HP-EEsof were used to optimise an active aperture coupled microstrip patch antenna. This study has shown that the algorithms based on the randomised search techniques and the Genetic algorithm provide the most robust performance. The optimisation results were used to design an active dual-band antenna.
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Gaus, Sebastian [Verfasser]. "Histologische Untersuchung zur Auswirkung von Diodenlaserstrahlung auf humanes Fettgewebe in vitro : eine experimentelle Studie zur Laser-assistierten Lipoplastie (LAL) / vorgelegt von Sebastian Gaus." 2008. http://d-nb.info/989488292/34.

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Books on the topic "Gauss law"

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Arnold, Béat. Batellerie gallo-romaine sur le lac de Neuchâtel. Saint-Blaise: Editions du Ruau, 1992.

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Arnold, Béat. Batellerie gallo-romaine sur le lac de Neuchâtel. Saint-Blaise: Editions du Ruau, 1992.

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Arnold, Béat. Batellerie gallo-romaine sur le lac de Neuchâtel. Saint-Blaise: Editions du Ruau, 1992.

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Chhikara, Raj S. The inverse Gaussian distribution: Theory, methodology, and applications. New York: M. Dekker, 1989.

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Rights, European Court of Human. A. Affaire Vereniging Weekblad Bluf! c. Pays-bas : arrêt du 9 Février 1995.: B. Affaire Gasus Dosier- und Fördertechnik GmbH c. Pays-Bas : arrêt du 23 Février 1995 = A. Case of Vereniging Weekblad Bluf! v. the Netherlands : judgment of 9 February 1995. B. Case of Gasus Dosier- und Fördertechnik GmbH v. the Netherlands : judgment of 23 February 1995. Strasbourg: Greffe de la Cour, Conseil de l'Europe, 1995.

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France), Musée d'Unterlinden (Colmar, ed. Trésors celtes et gaulois: Le Rhin supérieur entre 800 et 50 avant J.-C. : exposition présentée au musée d'Unterlinden du 16 mars au 2 juin 1996. Colmar: Le Musée, 1996.

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Zaitsev, Fedor, and Vladimir Bychkov. Mathematical modeling of electromag-netic and gravitational phenomena by the methodology of continuous media mechanics. LCC MAKS Press, 2021. http://dx.doi.org/10.29003/m2011.978-5-317-06604-8.

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The book of well-known Russian scientists systematically presents a new theoretical approach to studying nature's fundamental phenomena using the hypothesis of the physical vacuum, or the ether, as some environment in which all the processes develop. In the proposed studies, the ether is represented as some one-component continuous media that satisfies generally accepted conservation laws: of matter and momentum. From the appropriate two equations, a number of consequences are obtained to which a physical interpretation is given. For the first time, 150 years after studies of Faraday and Maxwell, it is shown that these single premises mathematically give basic physical laws established experimentally: the Maxwell equations, the Lorentz force, the Gauss theorem; the laws: Coulomb, Biot - Savard, Ampere, electromagnetic induction, Ohm, Joule - Lenz, Wiedemann - Franz, universal gravitation, and etc. Details of mechanisms of many processes, that seemed previously paradoxical, have been disclosed. A method of the model substantiation adopted in the mathematical modeling methodology allows to conclude that the presented mathematical model of the ether adequately describes electromagnetic and gravitational processes. Qualitative and quantitative analysis of hundreds of known and new experimental facts allows in the methodology of physics, as science summarizing the experiments data, to confirm a conclusion about the existence of the ether (physical vacuum). The content of the book is based on the works of authors done during the last fourteen years. Many results are published for the first time. The book is intended for specialists in the field of electrodynamics, electrical engineering, gravity and kinetics, as well as for graduate students and students, interested in the fundamental principles of these scientific directions. This book is unique in terms of the comprehensive consideration of the problem and the depth of its analysis.
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Book chapters on the topic "Gauss law"

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Balachandran, A. P., and A. F. Reyes-Lega. "The Gauss Law: A Tale." In Springer Proceedings in Physics, 41–55. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-24748-5_4.

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Ono, Takashi. "To the Gauss Reciprocity Law." In An Introduction to Algebraic Number Theory, 1–43. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4613-0573-6_1.

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Cunningham, Clifford J. "The Olbers-Gauss Letters." In Bode’s Law and the Discovery of Juno, 127–53. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-32875-1_7.

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Cunningham, Clifford J. "The Harding-Gauss Letters." In Bode’s Law and the Discovery of Juno, 155–66. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-32875-1_8.

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Cunningham, Clifford J. "Letters: Bessel with Gauss and Olbers." In Bode’s Law and the Discovery of Juno, 121–26. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-32875-1_6.

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Cunningham, Clifford J. "Letters: Gauss with Bode and Zach." In Bode’s Law and the Discovery of Juno, 167–71. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-32875-1_9.

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Rowe, David E. "Gauss, Dirichlet, and the Law of Biquadratic Reciprocity." In A Richer Picture of Mathematics, 29–39. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-67819-1_3.

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Wright, Steve. "Gauss’ Theorema Aureum: The Law of Quadratic Reciprocity." In Lecture Notes in Mathematics, 21–77. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-45955-4_3.

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Hajjafar, A. "Comparison of the Gauss—Christoffel and Gauss—Galerkin Approximations of the Law of the Solution of Some Stochastic Differential Equations." In Computing Science and Statistics, 361–65. New York, NY: Springer New York, 1992. http://dx.doi.org/10.1007/978-1-4612-2856-1_54.

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Munz, Claus-Dieter, Pascal Omnes, and Rudolf Schneider. "Enforcing Gauss’ Law in Computational Elec-Tromagnetics Within a Finite-Volume Framework." In Hyperbolic Problems: Theory, Numerics, Applications, 755–64. Basel: Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8372-6_28.

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Conference papers on the topic "Gauss law"

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KIJOWSKI, J., and G. RUDOLPH. "GLOBAL GAUSS LAW FOR LATTICE QCD." In Proceedings of the Second International Symposium. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812777850_0008.

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SALMELA, ANTTI. "GENERALISED HODGE DECOMPOSITION FOR THE SU(3) GAUSS LAW." In Proceedings of the 5th International Conference. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704269_0049.

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Markovic, Slavoljub A., Jovan M. Cvetic, Dragan M. Pavlovic, and Milan D. Ignjatovic. "Applicability of the Gauss' law on Lightning channel corona sheath modeling." In 2013 21st Telecommunications Forum Telfor (TELFOR). IEEE, 2013. http://dx.doi.org/10.1109/telfor.2013.6716320.

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Wada, Tatsuaki, and Hiroki Suyari. "A generalization of the log-likelihood function and weighted average in Gauss' law of error." In 2008 International Symposium on Information Theory and Its Applications (ISITA). IEEE, 2008. http://dx.doi.org/10.1109/isita.2008.4895609.

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Wang, Jiaxin, Guohua Wu, Liguo Zhang, Jingyuan Qu, and Jiejuan Tong. "Diffusion Law and Simulation Analysis of Radon in Uranium Tailings Based on Multiple Gauss Plume Model." In 2018 26th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/icone26-81189.

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The radon from uranium tailings spreads fast and has a wide range of pollution, which poses a potential radiation hazard to the environment and the public in downwind region. In this paper, the open and naked uranium tailings are selected as research object. By setting up multiple Gaussian plume models with single point source, the diffusion of radon in the uranium tailings is simulated with different atmospheric stability, average wind speed, height and downwind distance. The results show that the maximum radon concentration increases while the related downwind distance decreases as the atmospheric becoming stable. The higher wind speed does not affect the downwind distance where the maximum radon concentration occurs, but it decreases the maximum radon concentration. The concentration of radon in residential area decreases but the decreasing rate speeds up with height going up. The distribution of radon in vertical and horizontal direction tends to be homogeneous while the near-surface area concentration decreases rapidly as farther downwind distance.
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He, Xingcai, Wanchun Chen, and Liang Yang. "An Intercept Guidance Law with Impact-Angle-Constrained Based on Linear Gauss Pseudospectral Model Predictive Control." In 2019 IEEE 10th International Conference on Mechanical and Aerospace Engineering (ICMAE). IEEE, 2019. http://dx.doi.org/10.1109/icmae.2019.8881042.

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Brás Barreto de Oliveira, José. "INVERTED CLASSROOM AND COLLABORATIVE STUDENT ENGAGEMENT IN ORDER TO IMPROVE THE LEARNING OF GAUSS 'S LAW." In International Conference on Education and New Learning Technologies. IATED, 2016. http://dx.doi.org/10.21125/edulearn.2016.2310.

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Feng, Zhengkun, and Azzeddine Soulai¨mani. "Nonlinear Aeroelasticity Computations in Transonic Flows Using Tightly Coupling Algorithms." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93244.

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Abstract:
A nonlinear computational aeroelasticity model based on the Euler equations of compressible flows and the linear elastodynamic equations for structures is developed. The Euler equations are solved on dynamic meshes using the ALE kinematic description. Thus, the mesh constitutes another field governed by pseudo-elatodynamic equations. The three fields are discretized using proper finite element formulations which satisfy the geometric conservation law. A matcher module is incorporated for the purpose of pairing the grids on the fluid-structure interface and for transferring the loads and displacements between the fluid and structure solvers. Two solutions strategies (Gauss Seidel and Schur-Complement) for solving the nonlinear aeroelastic system are discussed. Using second order time discretization schemes allows us to use large time steps in the computations. The numerical results on the AGARD 445.6 aeroelastic wing compare well with the experimental ones and show that the Schur-complement coupling algorithm is more robust than the Gauss-Seidel algorithm for relatively large oscillation amplitudes.
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9

Mardahl, P., J. Verboncoeur, and C. K. Birdsall. "A spectral comparison of two methods of removing errors in Gauss' law in a 2-dimensional PIC plasma simulation." In International Conference on Plasma Science (papers in summary form only received). IEEE, 1995. http://dx.doi.org/10.1109/plasma.1995.533236.

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10

Li, Changpin, Zhengang Zhao, and YangQuan Chen. "Numerical Approximation and Error Estimation of a Time Fractional Order Diffusion Equation." In ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86693.

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Finite element method is used to approximately solve a class of linear time-invariant, time-fractional-order diffusion equation formulated by the non-classical Fick law and a “long-tail” power kernel. In our derivation, “long-tail” power kernel relates the matter flux vector to the concentration gradient while the power-law relates the mean-squared displacement to the Gauss white noise. This work contributes a numerical analysis of a fully discrete numerical approximation using the space Galerkin finite element method and the approximation property of the Caputo time fractional derivative of an efficient fractional finite difference scheme. Both approximate schemes and error estimates are presented in details. Numerical examples are included to validate the theoretical predictions for various values of order of fractional derivatives.
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