Finite element approximation of electrostatic potential in one dimensional multilayer structures with quantized electronic charge

DOI10.1007/BF02250636zbMath0718.65063OpenAlexW1501580593MaRDI QIDQ2639610

Publication date: 1990

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02250636

zbMATH Keywords

numerical results error estimate electrostatic potential quasi-Newton algorithm monotone operator theory Lagrange finite elements perturbation calculus multilayer semiconductor device

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Technical applications of optics and electromagnetic theory (78A55) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Numerical solution of boundary value problems involving ordinary differential equations (65L10)

Related Items (10)

SIMULATION OF SOME QUANTUM MODELS FOR SEMICONDUCTORS ⋮ A QUANTUM TRANSMITTING SCHRÖDINGER–POISSON SYSTEM ⋮ Schrödinger-Poisson systems in dimension d ≦ 3: The whole-space case ⋮ A quantum drift-diffusion model and its use into a hybrid strategy for strongly confined nanostructures ⋮ On a multidimensional Schrödinger–Poisson scattering model for semiconductors ⋮ AN EFFECTIVE MASS MODEL FOR THE SIMULATION OF ULTRA-SCALED CONFINED DEVICES ⋮ Convexity of trace functionals and Schrödinger operators ⋮ Monotonicity properties of the quantum mechanical particle density: An elementary proof ⋮ Uniqueness for Dissipative Schrödinger-Poisson Systems ⋮ A variational formulation of schrödinger-poisson systems in dimension d ≤ 3

Cites Work

This page was built for publication: Finite element approximation of electrostatic potential in one dimensional multilayer structures with quantized electronic charge