Keywords
- Finite Element Method
- Hyperbolic Equation
- Hyperbolic Partial Differential Equation
- Triangle Side
- Neutron Transport Equation
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References
G. A. Baker, A Finite Element Method for First Order Hyperbolic Equations, Math. Comp., v. 29, 1975, pp. 995–1006.
P. G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, 1978.
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.
R. S. Falk and G. R. Richter, Analysis of a Continuous Finite Element Scheme for Hyperbolic Equations, preprint.
C. Johnson and J. Pitkaranta, An Analysis of the Discontinuous Galerkin Method, preprint.
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.
W. H. Reed and T. R. Hill, Triangular Mesh Methods for the Neutron Transport Equation, Los Alamos Scientific Laboratory Report LA-UR-73-479.
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
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