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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.
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
Full Text: DOI
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