Mixed-hybrid finite element approximation of the potential fluid flow problem

DOI10.1016/0377-0427(95)00066-6zbMath0852.76045OpenAlexW2072600208MaRDI QIDQ1917878

Miroslav Tůma, Miroslav Rozložnik, Jiří Maryška

Publication date: 15 July 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00066-6

zbMATH Keywords

existenceuniquenesslinearly independent vector basis functionsprismatic discretizationtrilateral prismatic elements

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10) Incompressible inviscid fluids (76B99)

Related Items (9)

A novel block non-symmetric preconditioner for mixed-hybrid finite-element-based Darcy flow simulations ⋮ Compositional modeling in porous media using constant volume flash and flux computation without the need for phase identification ⋮ Spectral properties of the iteration matrix of the HSS method for saddle point problem ⋮ Unnamed Item ⋮ An alternative model of multicomponent diffusion based on a combination of the Maxwell-Stefan theory and continuum mechanics ⋮ BDDC for mixed‐hybrid formulation of flow in porous media with combined mesh dimensions ⋮ Mixed-Hybrid Formulation of Multidimensional Fracture Flow ⋮ Unnamed Item ⋮ Schur complement reduction in the mixed-hybrid approximation of Darcy's law: Rounding error analysis

Cites Work

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• A Preconditioning Technique for Indefinite Systems Resulting from Mixed Approximations of Elliptic Problems
• Mixed-hybrid finite elements and streamline computation for the potential flow problem
• Solution of Sparse Indefinite Systems of Linear Equations
• Iterative solution techniques for the stokes and Navier‐Stokes equations
• Inexact and Preconditioned Uzawa Algorithms for Saddle Point Problems
• Methods of conjugate gradients for solving linear systems

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