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Isoparametric finite element methods for two-dimensional transport calculations. (English) Zbl 0331.65084


MSC:

65Z05 Applications to the sciences
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
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[1] et al, ’Effect of singularities on approximation in SN, methods’, Nucl. Sc. Eng. 49-20 (1972).
[2] Axelsson, BIT 9 pp 185– (1969)
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[7] Lesaint, Finite element methods for the transport equation
[8] Thesis, to appear. · JFM 05.0337.02
[9] and , ’On a finite element method for solving the neutron transport equation’, Mathematical Aspects of Finite Elements in Partial Differential Equations, ed. Academic Press, New York, 1974, pp. 89-123. · doi:10.1016/B978-0-12-208350-1.50008-X
[10] ’Application of finite element solution technique to neutron diffusion and transport equations’, Proc. Conf. New Development in Reactor Mathematics and Applications, USAEC DTIE CONF-710107, 258 (1971).
[11] and , ’Triangular mesh methods for the neutron transport equations’, LA-UR- 73-479, Los Alamos Scinetific Laboratory (1973).
[12] The Finite Element Method in Engineering Science, McGraw-Hill, London, 1971.
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