A robust and efficient linearization scheme for doubly nonlinear and degenerate parabolic problems arising in flow in porous media (Q2780595)
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scientific article; zbMATH DE number 1729207
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A robust and efficient linearization scheme for doubly nonlinear and degenerate parabolic problems arising in flow in porous media |
scientific article; zbMATH DE number 1729207 |
Statements
15 April 2002
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flow in porous medium
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nonlinear degenerate parabolic equation
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nonlinear degenerate convection-diffusion model
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linear relaxation approximation
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convergence
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error estimates
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time discretization
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backward Euler method
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0.9199797
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0.90604234
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0.89593995
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0.8924711
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0.8901013
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0.8861529
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0.8856996
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A robust and efficient linearization scheme for doubly nonlinear and degenerate parabolic problems arising in flow in porous media (English)
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The author studies a nonlinear degenerate convection-diffusion model having applications in groundwater aquifer and petrol reservoir simulations. A linear relaxation approximation is developed, the convergence of iterations at each time step is established, and error estimates are obtained. The time discretization is based on the backward Euler method.
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