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Bernhardt, Paul A.; Brackbill, J. U.

Solution of elliptic equations using fast Poisson solvers. (English) Zbl 0534.65055

J. Comput. Phys. 53, 382-394 (1984).
Summary: Certain nonseparable elliptic equations may be transformed into a sequence of Poisson equations. The solutions of these equations are efficiently found using fast Poisson solvers. The method is illustrated by solving for the internal electric potential in convecting plasma clouds.

Cited in 7 Documents

MSC:

65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
65F10 Iterative numerical methods for linear systems
35J25 Boundary value problems for second-order elliptic equations
76X05 Ionized gas flow in electromagnetic fields; plasmic flow

Keywords:

fast Poisson solvers; Poisson equations; internal electric potential in convecting plasma clouds
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References:

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