A 3D Rectangular Mixed Finite Element Method to Solve the Stationary Semiconductor Equations

DOI10.1137/S1064827594275091zbMath0911.65131OpenAlexW2031860763MaRDI QIDQ4389248

Guido E. Sartoris

Publication date: 12 May 1998

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s1064827594275091

zbMATH Keywords

numerical examplesmixed finite-element methodmesh refinementsemiconductor equationsvan Roosbroeck equationsboundary and internal layers

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Technical applications of optics and electromagnetic theory (78A55) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Applications to the sciences (65Z05)

Related Items (6)

The block preconditioned \textit{LSQR} and \textit{GL}-\textit{LSQR} algorithms for the block partitioned matrices ⋮ A New GSOR Method for Generalised Saddle Point Problems ⋮ The modified PAHSS-PU and modified PPHSS-SOR iterative methods for saddle point problems ⋮ The nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method for solving nonlinear saddle-point problems ⋮ On generalized parameterized inexact Uzawa method for a block two-by-two linear system ⋮ Structured preconditioners for nonsingular matrices of block two-by-two structures

Cites Work

• Numerical Methods for Semiconductor Device Simulation
• Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models
• A Tetrahedral Mixed Finite Element Method for the Stationary Semiconductor Continuity Equations
• A fast algorithm to compute the moments of the exponential function for application to semiconductor modelling
• An analysis of the Scharfetter-Gummel box method for the stationary semiconductor device equations
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