Maximum Norm A Posteriori Error Estimate for the Quantum-Corrected Energy Transport Model Part I: Theory
| Autor: | Chang-yu Lin, 林常宇 |
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| Rok vydání: | 2009 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 97 The quantum-corrected energy transport (QCET) model consisting of seven self-adjoint nonlinear PDEs describes the steady state of electron and hole flows, their energy transport, and classical and quantum potentials within a nano-scale semiconductor device. We develop a second-order maximum norm a posteriori error estimate proposed by Kopteva [11] for the QCET which after scaling involves the scaled Debye length, intrinsic carrier density, Planck constant, and thermal conductivity as the singular perturbation parameters. This estimate can be used as an error indicator for the refinement process in an adaptive algorithm. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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