Relevant bibliographies by topics / Elliptic method

Contents

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

Academic literature on the topic 'Elliptic method'

Author: Grafiati
Published: 28 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Elliptic method"

1

Yin, Zhen, Hua Li, Zi Yang Cao, Ou Xie, and Yan Li. "Simulation and Experiment of New Longitudinal-Torsional Composite Ultrasonic Elliptical Vibrator." Advanced Materials Research 338 (September 2011): 79–83. http://dx.doi.org/10.4028/www.scientific.net/amr.338.79.

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A new ultrasonic elliptic vibrator design method was proposed, the ultrasonic elliptic vibration was achieved by the structural curve of the longitudinal and torsional vibrations. The model, harmonic and transient analyses of the new longitudinal-torsional composite ultrasonic elliptical vibrator were performed by using the software ANSYS, the prototype of the new vibrator was tested by using impedance analyzer and PSV-400 laser Doppler vibrometer, the correctness of the finite element simulation results and the feasibility of the new longitudinal-torsional composite ultrasonic elliptical vibrator design methods were verified.
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Yin, Zhen, Hua Li, Bang Fu Wang, and Ke Feng Song. "Study on the Design of Longitudinal-Torsional Composite Ultrasonic Elliptical Vibrator Based on FEM." Advanced Materials Research 308-310 (August 2011): 341–45. http://dx.doi.org/10.4028/www.scientific.net/amr.308-310.341.

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Based on FEM, a new type of ultrasonic elliptic vibrator design method was proposed, the ultrasonic elliptic vibration was achieved by the structural curve of the longitudinal and torsional vibrations. The impedance and vibration characteristics of the new longitudinal-torsional composite ultrasonic elliptic vibrator prototype were tested. It provides an important basis for impedance matching and longitudinal-torsional composite ultrasonic elliptical vibration application.
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Noguchi, Tetsuo, and Tsutomu Ezumi. "OS01W0062 A study about the elliptic inclusion by optical method and finite element method." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2003.2 (2003): _OS01W0062. http://dx.doi.org/10.1299/jsmeatem.2003.2._os01w0062.

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AIKAWA, Yusuke, Koji NUIDA, and Masaaki SHIRASE. "Elliptic Curve Method Using Complex Multiplication Method." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E102.A, no. 1 (January 1, 2019): 74–80. http://dx.doi.org/10.1587/transfun.e102.a.74.

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Tanaka, Naoyuki. "A New Calculation Method of Hertz Elliptical Contact Pressure." Journal of Tribology 123, no. 4 (December 7, 2000): 887–89. http://dx.doi.org/10.1115/1.1352745.

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A new method for calculating elliptical Hertz contact pressure in which an elliptic integral is not necessary, has been developed. The simplest numerical integration by this method yields a Hertz contact pressure within 0.0005 percent of the theoretical spherical contact pressure. And dimensionless quantities, for calculating contact pressure, major and minor semi-axes and approach calculated by using the method agree well with those given in the references. Elliptical Hertz contact pressure can thus now be calculated by using a spreadsheet program for personal computers.
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Elías-Zúñiga, Alex. "On The Elliptic Balance Method." Mathematics and Mechanics of Solids 8, no. 3 (June 2003): 263–79. http://dx.doi.org/10.1177/1081286503008003002.

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Jingzhi Li, Shanqiang Li, and Hongyu Liu. "RESTARTED NONLINEAR CONJUGATE GRADIENT METHOD FOR PARAMETER IDENTIFICATION IN ELLIPTIC SYSTEM." Eurasian Journal of Mathematical and Computer Applications 1, no. 1 (2013): 62–77. http://dx.doi.org/10.32523/2306-3172-2013-1-1-62-77.

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ZHAO, HONG. "ANALYTICAL STUDY ON NONLINEAR DIFFERENTIAL–DIFFERENCE EQUATIONS VIA A NEW METHOD." Modern Physics Letters B 24, no. 08 (March 30, 2010): 761–73. http://dx.doi.org/10.1142/s0217984910022846.

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Based on the computerized symbolic computation, a new rational expansion method using the Jacobian elliptic function was presented by means of a new general ansätz and the relations among the Jacobian elliptic functions. The results demonstrated an effective direction in terms of a uniformed construction of the new exact periodic solutions for nonlinear differential–difference equations, where two representative examples were chosen to illustrate the applications. Various periodic wave solutions, including Jacobian elliptic sine function, Jacobian elliptic cosine function and the third elliptic function solutions, were obtained. Furthermore, the solitonic solutions and trigonometric function solutions were also obtained within the limit conditions in this paper.
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Hlaváček, Ivan. "Domain optimization in $3D$-axisymmetric elliptic problems by dual finite element method." Applications of Mathematics 35, no. 3 (1990): 225–36. http://dx.doi.org/10.21136/am.1990.104407.

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Hlaváček, Ivan. "Penalty method and extrapolation for axisymmetric elliptic problems with Dirichlet boundary conditions." Applications of Mathematics 35, no. 5 (1990): 405–17. http://dx.doi.org/10.21136/am.1990.104420.

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Dissertations / Theses on the topic "Elliptic method"

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Savchuk, Tatyana. "The multiscale finite element method for elliptic problems." Ann Arbor, Mich. : ProQuest, 2007. http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:3245025.

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Thesis (Ph. D. in Applied Mathematics)--Southern Methodist University, 2007.
Title from PDF title page (viewed Mar. 18, 2008). Source: Dissertation Abstracts International, Volume: 67-12, Section: B, page: 7120. Adviser: Zhangxin (John) Chen. Includes bibliographical references.
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Déchène, Isabelle. "Quaternion algebras and the graph method for elliptic curves." Thesis, McGill University, 1998. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=21537.

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The graph method simultaneously uses the theory of quaternion algebras, elliptic curves and modular forms in order to determine all supersingular points in a given characteristic and hence to obtain a basis of S2(N). The goal of this thesis is to expose the principles of the graph method: it is therefore divided into two main parts: First, we introduce the essentials of the arithmetic of quaternions. This part is made to fit two needs: on one hand, a good introduction or novices; on the other hand, a fast and quick reference for those who are already familiar with the subject. The second part focusses on the graph method itself: after some recalls, namely about modular forms and elliptic curves, the third chapter is more specifically oriented toward the method as the last section gives a practical application of it.
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Loubenets, Alexei. "A new finite element method for elliptic interface problems." Licentiate thesis, KTH, Numerical Analysis and Computer Science, NADA, 2006. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-3908.

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A finite element based numerical method for the two-dimensional elliptic interface problems is presented. Due to presence of these interfaces the problem will contain discontinuities in the coefficients and singularities in the right hand side that are represented by delta functionals along the interface. As a result, the solution to the interface problem and its derivatives may have jump discontinuities. The introduced method is specifically designed to handle this features of the solution using non-body fitted grids, i.e. the grids are not aligned with the interfaces.

The main idea is to modify the standard basis function in the vicinity of the interface such that the jump conditions are well approximated. The resulting finite element space is, in general, non-conforming. The interface itself is represented by a set of Lagrangian markers together with a parametric description connecting them. To illustrate the abilities of the method, numerical tests are presented. For all the considered test problems, the introduced method has been shown to have super-linear or second order of convergence. Our approach is also compared with the standard finite element method.

Finally, the method is applied to the interface Stokes problem, where the interface represents an elastic stretched band immersed in fluid. Since we assume the fluid to be homogeneous, the Stokes equations are reduced to a sequence of three Poisson problems that are solved with our method. The numerical results agree well with those found in the literature.

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Déchène, Isabelle. "Quaternion algebras and the graph method for elliptic curves." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1999. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape9/PQDD_0024/MQ50750.pdf.

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Elfverson, Daniel. "Discontinuous Galerkin Multiscale Methods for Elliptic Problems." Thesis, Uppsala universitet, Institutionen för informationsteknologi, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-138960.

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In this paper a continuous Galerkin multiscale method (CGMM) and a discontinuous Galerkin multiscale method (DGMM) are proposed, both based on the variational multiscale method for solving partial differential equations numerically. The solution is decoupled into a coarse and a fine scale contribution, where the fine-scale contribution is computed on patches with localized right hand side. Numerical experiments are presented where exponential decay of the error is observed when increasing the size of the patches for both CGMM and DGMM. DGMM gives much better accuracy when the same size of the patches are used.
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Gu, Yaguang. "Nonlinear optimized Schwarz preconditioning for heterogeneous elliptic problems." HKBU Institutional Repository, 2019. https://repository.hkbu.edu.hk/etd_oa/637.

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In this thesis, we study problems with heterogeneities using the zeroth order optimized Schwarz preconditioning. There are three main parts in this thesis. In the first part, we propose an Optimized Restricted Additive Schwarz Preconditioned Exact Newton approach (ORASPEN) for nonlinear diffusion problems, where Robin transmission conditions are used to communicate subdomain errors. We find out that for the problems with large heterogeneities, the Robin parameter has a significant impact to the convergence behavior when subdomain boundaries cut through the discontinuities. Therefore, we perform an algebraic analysis for a linear diffusion model problem with piecewise constant diffusion coefficients in the second main part. We carefully discuss two possible choices of Robin parameters on the artificial interfaces and derive asymptotic expressions of both the optimal Robin parameter and the convergence rate for each choice at the discrete level. Finally, in the third main part, we study the time-dependent nonequilibrium Richards equation, which can be used to model preferential flow in physics. We semi-discretize the problem in time, and then apply ORASPEN for the resulting elliptic problems with the Robin parameter studied in the second part.
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Ben, Romdhane Mohamed. "Higher-Degree Immersed Finite Elements for Second-Order Elliptic Interface Problems." Diss., Virginia Tech, 2011. http://hdl.handle.net/10919/39258.

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A wide range of applications involve interface problems. In most of the cases, mathematical modeling of these interface problems leads to partial differential equations with non-smooth or discontinuous inputs and solutions, especially across material interfaces. Different numerical methods have been developed to solve these kinds of problems and handle the non-smooth behavior of the input data and/or the solution across the interface. The main focus of our work is the immersed finite element method to obtain optimal numerical solutions for interface problems. In this thesis, we present piecewise quadratic immersed finite element (IFE) spaces that are used with an immersed finite element (IFE) method with interior penalty (IP) for solving two-dimensional second-order elliptic interface problems without requiring the mesh to be aligned with the material interfaces. An analysis of the constructed IFE spaces and their dimensions is presented. Shape functions of Lagrange and hierarchical types are constructed for these spaces, and a proof for the existence is established. The interpolation errors in the proposed piecewise quadratic spaces yield optimal O(h³) and O(h²) convergence rates, respectively, in the L² and broken H¹ norms under mesh refinement. Furthermore, numerical results are presented to validate our theory and show the optimality of our quadratic IFE method. Our approach in this thesis is, first, to establish a theory for the simplified case of a linear interface. After that, we extend the framework to quadratic interfaces. We, then, describe a general procedure for handling arbitrary interfaces occurring in real physical practical applications and present computational examples showing the optimality of the proposed method. Furthermore, we investigate a general procedure for extending our quadratic IFE spaces to p-th degree and construct hierarchical shape functions for p=3.
Ph. D.
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Alsaedy, Ammar, and Nikolai Tarkhanov. "The method of Fischer-Riesz equations for elliptic boundary value problems." Universität Potsdam, 2012. http://opus.kobv.de/ubp/volltexte/2012/6179/.

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We develop the method of Fischer-Riesz equations for general boundary value problems elliptic in the sense of Douglis-Nirenberg. To this end we reduce them to a boundary problem for a (possibly overdetermined) first order system whose classical symbol has a left inverse. For such a problem there is a uniquely determined boundary value problem which is adjoint to the given one with respect to the Green formula. On using a well elaborated theory of approximation by solutions of the adjoint problem, we find the Cauchy data of solutions of our problem.
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Bennett, G. N. "A semi-linear elliptic problem arising in the theory of superconductivity." Thesis, University of Sussex, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.340827.

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Yang, Zhiyun. "A Cartesian grid method for elliptic boundary value problems in irregular regions /." Thesis, Connect to this title online; UW restricted, 1996. http://hdl.handle.net/1773/6759.

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Books on the topic "Elliptic method"

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Bottasso, Carlo L. Discontinuous dual-primal mixed finite elements for elliptic problems. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 2000.

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Quarteroni, Alfio. Domain decomposition preconditioners for the spectral collocation method. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, Institute for Computer Applications in Science and Engineering, 1988.

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Pomp, Andreas. The boundary-domain integral method for elliptic systems. Berlin: Springer, 1998.

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da Veiga, Lourenço Beirão, Konstantin Lipnikov, and Gianmarco Manzini. The Mimetic Finite Difference Method for Elliptic Problems. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02663-3.

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Pomp, Andreas. The Boundary-Domain Integral Method for Elliptic Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/bfb0094576.

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Ženíšek, A. Nonlinear elliptic and evolution problems and their finite element approximations. Edited by Whiteman J. R. London: Academic Press, 1990.

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Kang, Kab Seok. Covolume-based integrid transfer operator in P1 nonconforming multigrid method. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 2002.

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Schweitzer, Marc Alexander. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003.

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Schweitzer, Marc Alexander. A Parallel Multilevel Partition of Unity Method for Elliptic Partial Differential Equations. Berlin, Heidelberg: Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-642-59325-3.

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Numerical approximation methods for elliptic boundary value problems: Finite and boundary elements. United States: Springer Verlag, 2008.

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Book chapters on the topic "Elliptic method"

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Calin, Ovidiu, Der-Chen Chang, Kenro Furutani, and Chisato Iwasaki. "The Geometric Method." In Heat Kernels for Elliptic and Sub-elliptic Operators, 27–70. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4995-1_3.

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Hackbusch, Wolfgang. "The Finite-Element Method." In Elliptic Differential Equations, 181–262. Berlin, Heidelberg: Springer Berlin Heidelberg, 2017. http://dx.doi.org/10.1007/978-3-662-54961-2_8.

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Calin, Ovidiu, Der-Chen Chang, Kenro Furutani, and Chisato Iwasaki. "The Fourier Transform Method." In Heat Kernels for Elliptic and Sub-elliptic Operators, 75–88. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4995-1_5.

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Calin, Ovidiu, Der-Chen Chang, Kenro Furutani, and Chisato Iwasaki. "The Eigenfunction Expansion Method." In Heat Kernels for Elliptic and Sub-elliptic Operators, 89–104. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4995-1_6.

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Calin, Ovidiu, Der-Chen Chang, Kenro Furutani, and Chisato Iwasaki. "The Stochastic Analysis Method." In Heat Kernels for Elliptic and Sub-elliptic Operators, 145–97. Boston: Birkhäuser Boston, 2010. http://dx.doi.org/10.1007/978-0-8176-4995-1_8.

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Hackbusch, Wolfgang. "The Method of Finite Elements." In Elliptic Differential Equations, 161–207. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-11490-8_8.

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Dolejší, Vít, and Miloslav Feistauer. "DGM for Elliptic Problems." In Discontinuous Galerkin Method, 27–84. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-19267-3_2.

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Kuzin, I., and S. Pohozaev. "Classical Variational Method." In Entire Solutions of Semilinear Elliptic Equations, 5–37. Basel: Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-9250-6_2.

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Zimmermann, Paul. "Elliptic Curve Method for Factoring." In Encyclopedia of Cryptography and Security, 401–3. Boston, MA: Springer US, 2011. http://dx.doi.org/10.1007/978-1-4419-5906-5_401.

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da Veiga, Lourenço Beirão, Konstantin Lipnikov, and Gianmarco Manzini. "Model elliptic problems." In The Mimetic Finite Difference Method for Elliptic Problems, 3–40. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-02663-3_1.

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Conference papers on the topic "Elliptic method"

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Chang, Kung-Ching. "Heat method in nonlinear elliptic equations." In Proceedings of the ICM 2002 Satellite Conference on Nonlinear Functional Analysis. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704283_0007.

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Zhang, Ning, and Xiaotong Fu. "Ternary Method in Elliptic Curve Scalar Multiplication." In 2013 International Conference on Intelligent Networking and Collaborative Systems (INCoS). IEEE, 2013. http://dx.doi.org/10.1109/incos.2013.93.

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WARFIELD, M. "A zonal equation method for parabolic-elliptic flows." In 24th Aerospace Sciences Meeting. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1986. http://dx.doi.org/10.2514/6.1986-153.

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Mazzarella, Giuseppe, Giorgio Montisci, and Alessandro Fanti. "Method-of-Moment Analysis of Slender Elliptic Slots." In 2019 IEEE International Conference on Microwaves, Antennas, Communications and Electronic Systems (COMCAS). IEEE, 2019. http://dx.doi.org/10.1109/comcas44984.2019.8958409.

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Sun, Jiahui, Shichun Pang, and Mingjuan Ma. "Mixed finite volume method for elliptic equations problems." In 2016 International Conference on Advances in Energy, Environment and Chemical Science. Paris, France: Atlantis Press, 2016. http://dx.doi.org/10.2991/aeecs-16.2016.24.

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Černá, Dana, Václav Finek, Theodore E. Simos, George Psihoyios, Ch Tsitouras, and Zacharias Anastassi. "Adaptive Wavelet Method for Fourth-Order Elliptic Problems." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2011: International Conference on Numerical Analysis and Applied Mathematics. AIP, 2011. http://dx.doi.org/10.1063/1.3637940.

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Ma, Jinlin, Kai Zhu, Ziping Ma, Meng Wei, and Li Shi. "Elliptic Feature Recognition and Positioning Method for Disc Parts." In 2019 14th International Conference on Computer Science & Education (ICCSE). IEEE, 2019. http://dx.doi.org/10.1109/iccse.2019.8845486.

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Satonaka, Takami, and Keiichi Uchimura. "Elliptic Metric K-NN Method with Asymptotic MDL Measure." In 2006 International Conference on Image Processing. IEEE, 2006. http://dx.doi.org/10.1109/icip.2006.312864.

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Bin Yu. "Method to generate elliptic curves based on CM algorithm." In 2010 IEEE International Conference on Information Theory and Information Security (ICITIS). IEEE, 2010. http://dx.doi.org/10.1109/icitis.2010.5688754.

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Fang, Xianjin, Gaoming Yang, and Yanting Wu. "Research on the Underlying Method of Elliptic Curve Cryptography." In 2017 4th International Conference on Information Science and Control Engineering (ICISCE). IEEE, 2017. http://dx.doi.org/10.1109/icisce.2017.139.

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Reports on the topic "Elliptic method"

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Ferretta, T. A parallel multigrid method for solving elliptic partial differential equations. Office of Scientific and Technical Information (OSTI), February 1989. http://dx.doi.org/10.2172/7055158.

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Manzini, Gianmarco. Annotations on the virtual element method for second-order elliptic problems. Office of Scientific and Technical Information (OSTI), January 2017. http://dx.doi.org/10.2172/1338710.

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Glover, Joseph. Positive Solutions of Systems of Semilinear Elliptic Equations: The Pendulum Method,. Fort Belvoir, VA: Defense Technical Information Center, January 1986. http://dx.doi.org/10.21236/ada171939.

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Manzini, Gianmarco. The Mimetic Finite Element Method and the Virtual Element Method for elliptic problems with arbitrary regularity. Office of Scientific and Technical Information (OSTI), July 2012. http://dx.doi.org/10.2172/1046508.

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Sharan, M., E. J. Kansa, and S. Gupta. Application of multiquadric method for numerical solution of elliptic partial differential equations. Office of Scientific and Technical Information (OSTI), January 1994. http://dx.doi.org/10.2172/10156506.

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Manke, J. A tensor product b-spline method for 3D multi-block elliptic grid generation. Office of Scientific and Technical Information (OSTI), December 1988. http://dx.doi.org/10.2172/5536897.

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Hu, Xin, Guang Lin, Thomas Y. Hou, and Pengchong Yan. An Adaptive ANOVA-Based Data-Driven Stochastic Method for Elliptic PDE with Random Coefficients. Fort Belvoir, VA: Defense Technical Information Center, January 2012. http://dx.doi.org/10.21236/ada560090.

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Ito, K., M. Kroller, and K. Kunisch. A Numerical Study of an Augmented Lagrangian Method for the Estimation of Parameters in Elliptic Systems. Fort Belvoir, VA: Defense Technical Information Center, January 1989. http://dx.doi.org/10.21236/ada208658.

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Werner, L., and F. Odeh. Numerical Methods for Stiff Ordinary and Elliptic Partial Differential Equations. Fort Belvoir, VA: Defense Technical Information Center, February 1985. http://dx.doi.org/10.21236/ada153247.

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Adjerid, Slimane, Mohammed Aiffa, and Joseph E. Flaherty. High-Order Finite Element Methods for Singularly-Perturbed Elliptic and Parabolic Problems. Fort Belvoir, VA: Defense Technical Information Center, December 1993. http://dx.doi.org/10.21236/ada290410.

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