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


65Z05 Applications to the sciences
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
Full Text: DOI


[1] et al, ’Effect of singularities on approximation in SN, methods’, Nucl. Sc. Eng. 49-20 (1972).
[2] Axelsson, BIT 9 pp 185– (1969)
[3] and , Nuclear Reactor Theory, Van Nostrand Reinhold, 1970.
[4] ’Transport theory numerical methods’, LA-UR-73-517, Los Alamos Scientific Laboratory (1973).
[5] Lathrop, J. Comp. Phys. 2 pp 173– (1967)
[6] ’The discrete Sn approximation to transport equation La-2595’, Los Alamos Scientific Laboratory (1962).
[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.
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.