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Zbl 0852.76045
Maryška, J.; Rozložník, M.; Tuuma, M.
Mixed-hybrid finite element approximation of the potential fluid flow problem. (English)
[J] J. Comput. Appl. Math. 63, No.1-3, 383-392 (1995). ISSN 0377-0427

Summary: A mixed-hybrid approximation of the potential fluid flow problem based on prismatic discretization of the domain is presented. Trilateral prismatic elements with vertical faces and nonparallel bases suitable for the modelling of real geological circumstances are considered. The set of linearly independent vector basis functions is defined and existence and uniqueness of the approximate solution from the resulting symmetric indefinite system are examined. Possible approaches to the solution of the discretized system are discussed.

MSC 2000:: *76M10 Finite element methods
76S05 Flows in porous media
76B99 Incompressible inviscid fluids, potential theory
86A05 Hydrology, hydrography, oceanography

Keywords: trilateral prismatic elements; prismatic discretization; linearly independent vector basis functions; existence; uniqueness

Cited in: Zbl 0906.76037

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