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Remarks on a continuous finite element scheme for hyperbolic equations

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1230)

Keywords

  • Finite Element Method
  • Hyperbolic Equation
  • Hyperbolic Partial Differential Equation
  • Triangle Side
  • Neutron Transport Equation

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References

  1. G. A. Baker, A Finite Element Method for First Order Hyperbolic Equations, Math. Comp., v. 29, 1975, pp. 995–1006.

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  2. P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, 1978.

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  3. T. Dupont, Galerkin Methods for Modelling Gas Pipelines, in Constructive and Computational Methods for Differential and Integral Equations, Lecture Notes in Math., v. 430, Springer-Verlag, 1974.

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  4. R. S. Falk and G. R. Richter, Analysis of a Continuous Finite Element Scheme for Hyperbolic Equations, preprint.

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  5. C. Johnson and J. Pitkaranta, An Analysis of the Discontinuous Galerkin Method, preprint.

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  6. P. Lesaint and P. A. Raviart, On a Finite Element Method for Solving the Neutron Transport Equation, in Mathematical Aspects of Finite Elements in Partial Differential Equations, C. deBoor, ed., Academic Press, 1974, pp. 89–123.

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  7. W. H. Reed and T. R. Hill, Triangular Mesh Methods for the Neutron Transport Equation, Los Alamos Scientific Laboratory Report LA-UR-73-479.

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  8. R. Winther, Stable Finite Element Method for First-Order Hyperbolic Systems, Math. Comp., v. 36, 1981, pp. 65–86.

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© 1986 Springer-Verlag

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Falk, R.S., Richter, G.R. (1986). Remarks on a continuous finite element scheme for hyperbolic equations. In: Hennart, JP. (eds) Numerical Analysis. Lecture Notes in Mathematics, vol 1230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0072671

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  • DOI: https://doi.org/10.1007/BFb0072671

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17200-0

  • Online ISBN: 978-3-540-47379-4

  • eBook Packages: Springer Book Archive