A comparison of various nodal finite element formulations for neutron multigroup diffusion equations

Conference · Sun Dec 31 00:00:00 EST 1995

OSTI ID:459260

Hennart, J P ^[1]; Malambu, E ^[2]; Mund, E H ^[3]

---

1. Universidad Nacional Autonoma de Mexico (Mexico)
2. Universite Catholique de Louvain (Belgium)
3. Universite Libre de Bruxelles (Belgium)

Three finite elements of nodal type are introduced which hopefully lead to convergence of O(h{sup 3}) in L{sup 2} norm. Two of these methods are new and achieve the same orders of convergence with less parameters. They are applied to the one-group diffusion equation under different formulations, namely several versions (without or with reduced integration and transverse integration) of the primal one and the mixed-hybrid one, and convergence rates are checked for a model problem exhibiting an analytical solution. These methods are finally applied to more realistic multigroup situations.

• OSTI ID: 459260
• Report Number(s): CONF-950420-; TRN: 97:007161
• Resource Relation: Conference: International conference on mathematics and computations, reactor physics, and environmental analyses, Portland, OR (United States), 30 Apr - 4 May 1995; Other Information: PBD: 1995; Related Information: Is Part Of Proceedings of the international conference on mathematics and computations, reactor physics, and environmental analyses. Volume 1 and 2; PB: 1629 p.
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 MATHEMATICS
COMPUTERS
INFORMATION SCIENCE
MANAGEMENT
LAW
MISCELLANEOUS
MULTIGROUP THEORY
NODAL EXPANSION METHOD
COMPARATIVE EVALUATIONS
ONE-GROUP THEORY
FINITE ELEMENT METHOD
CONVERGENCE