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系统科学与数学 1991
THE APPROXIMATION OF THE ELECTROSTIC POTENTIAL BY A MIXED METHOD IN THE SIMULATION OF SEMICONDUCTOR
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Abstract:
The transient behaviov of a semiconductor device is described by a system of three qua-silinear partial differential equations,one ellipic in form for the electric potential and twoparabolic in form for the conservation of electron and hole concentrations.The electric ppo-tential appears in the concentration only through its electric field strength,and it is appropriateto choose a numerical method that approximates the electric field strength.The electric po-tential equation is discretized by a mixed finite element method.The electron and hold den-sity equations are treated by a Galerkin method.Optimal order estimates are derived.