Monotone iterative methods for the adaptive finite element solution of semiconductor equations

DOI10.1016/S0377-0427(03)00538-7zbMath1030.82014MaRDI QIDQ1414308

Jinn-Liang Liu, Ren-Chuen Chen

Publication date: 20 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Monotone iterationAdaptive finite elementDrift-diffusion model

Mathematics Subject Classification ID

Statistical mechanics of semiconductors (82D37) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05)

Related Items

A posteriori error control in numerical simulations of semiconductor nanodevices, An accelerated monotone iterative method for the quantum-corrected energy transport model, A quantum corrected energy-transport model for nanoscale semiconductor devices, Nonstationary monotone iterative methods for nonlinear partial differential equations

Uses Software

• SONEST
• CONEST

Cites Work

• Toward a universal h-p adaptive finite element strategy. I: Constrained approximation and data structure
• Monotone explicit iterations of the finite element approximations for the nonlinear boundary value problem
• Monotone iterative methods for nonlinear equations involving a noninvertible linear part
• Supersolutions, monotone iterations, and stability
• Block monotone iterative methods for numerical solutions of nonlinear elliptic equations
• Mildly nonlinear elliptic partial differential equations and their numerical solution. II
• Topics in stability and bifurcation theory
• Object-oriented programming of adaptive finite element and finite volume methods
• Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
• Consistency of Semiconductor Modeling: An Existence/Stability Analysis for the Stationary Van Roosbroeck System
• On the Effectiveness of Gummel’s Method
• FORTRAN codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation
• Nonlinear elliptic boundary-value problems in unbounded domains
• Two-Dimensional Exponential Fitting and Applications to Drift-Diffusion Models
• Boundary element monotone iteration scheme for semilinear elliptic partial differential equations
• On Weak Residual Error Estimation
• Theory of the Flow of Electrons and Holes in Germanium and Other Semiconductors
• A new parallel adaptive finite volume method for the numerical simulation of semiconductor devices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item