Iterative methods for finding the boundaries of unrecovered viscoplastic oil in multilayer beds

Iterative methods for finding the boundaries of unrecovered viscoplastic oil in multilayer beds

We suggest a generalized statement of the problem of finding the boundaries of limit-equilibrium unrecovered viscoplastic oil in multilayer beds in the form of a mixed variational inequality. We analyze the solvability of the problem. For its solution, we suggest an iterative method whose each step...

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Veröffentlicht in:Differential equations 2009-07, Vol.45 (7), p.991-997
Hauptverfasser: Badriev, I. B., Zadvornov, O. A.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary conditions
Difference and Functional Equations
Dirichlet problem
Equilibrium
Inequality
Iterative methods
Mathematics
Mathematics and Statistics
Methods
Numerical Methods
Ordinary Differential Equations
Partial Differential Equations
Studies
Viscosity
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Zusammenfassung:We suggest a generalized statement of the problem of finding the boundaries of limit-equilibrium unrecovered viscoplastic oil in multilayer beds in the form of a mixed variational inequality. We analyze the solvability of the problem. For its solution, we suggest an iterative method whose each step can essentially be reduced to the solution of the Dirichlet problem for the Poisson equation.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266109070076