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Numerical solution of a coupled pair of elliptic equations from solid state electronics. (English) Zbl 0531.65069
Summary: Iterative methods are considered for the solution of a coupled pair of second order elliptic partial differential equations which arise in the field of solid state electronics. A finite difference scheme is used which retains the conservative form of the differential equations. Numerical solutions are obtained in two ways-by multigrid and decoupled dynamic alternating direction implicit methods. Numerical results are presented which show the multigrid method to be an efficient way of solving this problem.
MSC:
65Z05 Applications to the sciences
65F10 Iterative numerical methods for linear systems
65N22 Numerical solution of discretized equations for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
78A35 Motion of charged particles
Software:
MGOO
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References:
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