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- W2010390642 abstract "Finite element methods for neutron transport are being developed because they have the potential to achieve the full geometrical flexibility of the Monte Carlo method, and they are faster in computing global solutions. It is shown that the finite element method also shares with Monte Carlo the capability to bracket local characteristics of a solution, such as the reaction rate for a small locality. The bracketing bounds for the Monte Carlo method have a statistical error, whereas these bounds are rigorous for the finite element method. The latter bounds for a locality of a system are obtained by a bi-variational method with the aid of an associated system. For cell problems very tight bounds can be computed, but in deep-penetration problems for shields there are some difficulties to be overcome. Reasons are advanced for the difficulties." @default.
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- W2010390642 title "A finite element method for neutron transport—VI. Upper and lower bounds for local characteristics of solutions" @default.
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- W2010390642 doi "https://doi.org/10.1016/0306-4549(82)90085-8" @default.
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