Nonlinear elliptic problems with the method of finite volumes
We present a finite volume discretization of the nonlinear elliptic problems. The discretization results in a nonlinear algebraic system of equations. A Newton-Krylov algorithm is also presented for solving the system of nonlinear algebraic equations. Numerically solving nonlinear partial differenti...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2006-01-01
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| Series: | Differential Equations and Nonlinear Mechanics |
| Online Access: | http://dx.doi.org/10.1155/DENM/2006/31797 |
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| Summary: | We present a finite volume discretization of the nonlinear
elliptic problems. The discretization results in a nonlinear
algebraic system of equations. A Newton-Krylov algorithm is also
presented for solving the system of nonlinear algebraic
equations. Numerically solving nonlinear partial differential
equations consists of discretizing the nonlinear partial
differential equation and then solving the formed nonlinear
system of equations. We demonstrate the convergence of the
discretization scheme and also the convergence of the Newton
solver through a variety of practical numerical examples. |
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| ISSN: | 1687-4099 1687-4102 |