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Mathematical modelling of the three-dimensional boundary value problem of the discharge of the well system in a homogeneous layer
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I.K. Lifanov
Published/Copyright:
October 9, 2014
Abstract -
We pose and solve the three-dimensional boundary value problem of the discharge of the well system in a homogeneous layer bounded by the equipotential surface and an impermeable boundary. Three-dimensional filtration problems in finite form are solved only for the canonical surfaces: for a sphere (or a hemisphere) and an impermeable plane (or planes) [9, 10]. Unlike these works, in the present paper the problem is solved by the method of closed discrete vortex frames [5]. This method allows us to considerably extend the class of problems solved. The accuracy of this method is tested by the known solutions in finite form.
Published Online: 2014-10-9
Published in Print: 2002-2-1
© 2014 by Walter de Gruyter Berlin/Boston
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Articles in the same Issue
- Contents
- High-order time-accuracy schemes for parabolic singular perturbation problems with convection
- On high-order compact schemes in the finite element method
- On implicit extrapolation methods for ordinary differential equations
- On error analysis in data assimilation problems
- Mathematical modelling of the three-dimensional boundary value problem of the discharge of the well system in a homogeneous layer
- Parallel realization of statistical simulation and random number generators
Articles in the same Issue
- Contents
- High-order time-accuracy schemes for parabolic singular perturbation problems with convection
- On high-order compact schemes in the finite element method
- On implicit extrapolation methods for ordinary differential equations
- On error analysis in data assimilation problems
- Mathematical modelling of the three-dimensional boundary value problem of the discharge of the well system in a homogeneous layer
- Parallel realization of statistical simulation and random number generators
