Name
Title | ||
|---|---|---|
A multilevel adaptive solver based on second-generation wavelet thresholding techniques |
Abstract | ||
|---|---|---|
In this manuscript, we introduce a second-generation wavelet thresholding technique used to construct a numerically stable non-dyadic sparse grid representation. The resulting second-generation wavelet projectors, when coupled to a multigrid solver, provide an elegant method for integrating the numerical solution. The combined method is then utilized in the solution of a singular perturbation problem that arises when modelling an n-MOS gate exhibiting quantum tunnelling. The resulting solution is compared with the full Schrodinger-Poisson system, and the two solutions are shown to be in good agreement. Copyright (c) 2006 John Wiley & Sons, Ltd. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1002/nla.479 | NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS |
Keywords | Field | DocType |
second-generation wavelet grid refinement,non-dyadic grids,adaptive multigrid,singular perturbation,MOSFETs,quantum tunnelling,density-gradient equation | Quantum tunnelling,Mathematical optimization,Wavelet thresholding,Mathematical analysis,Singular perturbation,Solver,Sparse grid,Mathematics,Multigrid method,Wavelet | Journal |
Volume | Issue | ISSN |
13 | 2-3 | 1070-5325 |
Citations | PageRank | References |
0 | 0.34 | 5 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Alfonso Limon | 1 | 1 | 2.58 |
| Hedley Morris | 2 | 0 | 2.03 |