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On the Numerical Solutions of Eigenvalue Problems in Unbounded Domains

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4310))

Abstract

The aim of this study is to propose a procedure for coupling of finite element (FE) and infinite large element (ILE). This FE/ILE method is applied to the second-order self-adjoint eigenvalue problems in the plane. We propose a conforming method for approximation of eigenpairs in unbounded domains. Finally, some numerical results are presented.

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References

  1. Demkovich, K., Gerdes, K.: Convergence of infinite element methods for the Helmholz equation in separable domains. Numer Math. 79, 11–42 (1998)

    Article  MathSciNet  Google Scholar 

  2. Gerdes, K.: A summary of infinite element formulations for ezterior Helmholz problem. Methods Appl. Mech. Engrg., Special Issue - Exterior Problems of Wave Propagation 164, 95–105 (1998)

    MATH  MathSciNet  Google Scholar 

  3. Bettless, P.: Infinite elements. Internat. J. Numer. Methods Engrg. 11, 53–64 (1997)

    Article  Google Scholar 

  4. Han, H.D., Huang, Z.Y.: A class of artificial boundary conditions for heat equation in unbounded domains. Comput. Math. Appl. 43, 889–900 (2002)

    Article  MATH  MathSciNet  Google Scholar 

  5. Givoli, D.: Numerical Methods for Problems in Infiniter Domains. Elsevier, Amsterdam (1992)

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  6. Han, H., Zhou, Z., Zheng, C.: Numerical solutions of an eigenvalue problem in unbounded domains. Numer. Math. a Journal of Chinese Universities 14(1), 1–13 (2005)

    MATH  MathSciNet  Google Scholar 

  7. Egorov, Y.V., Shubin, M.A.: Foundation of the Classical Theory of Partial Differential Equations, 2nd edn. Springer, Berlin (1998)

    Google Scholar 

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Todor Boyanov Stefka Dimova Krassimir Georgiev Geno Nikolov

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© 2007 Springer Berlin Heidelberg

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Andreev, A.B., Racheva, M.R. (2007). On the Numerical Solutions of Eigenvalue Problems in Unbounded Domains. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_60

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  • DOI: https://doi.org/10.1007/978-3-540-70942-8_60

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70940-4

  • Online ISBN: 978-3-540-70942-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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