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Nonlinear elliptic problems with the method of finite volumes
2006
Differential Equations and Nonlinear Mechanics
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
doi:10.1155/denm/2006/31797
fatcat:ijbwh5m45zhzrbshvmcan3pq4e