Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
Finite Elements in Analysis and Design
Journal of Computational Physics
Semiconductor device simulation using adaptive refinement and flux upwinding
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
A new discretization scheme for the semiconductor current continuity equations
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
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This article outlines a method for stabilising the current continuity equations which are used for semiconductor device simulation. Residual-free bubble functions (RfBF) are incorporated into a finite element (FE) implementation that are able to prevent oscillations which are seen when using the conventional Bubnov-Galerkin FE implementation. In addition, it is shown that the RfBF are able to provide stabilisation with very distorted meshes and curved interface boundaries. Comparison with the commonly used SUPG scheme is made throughout, showing that in the case of 2D problems the RfBF allow faster convergence of the coupled semiconductor device equations, especially in the case of distorted meshes.