| Title:
|
Convergent algorithms suitable for the solution of the semiconductor device equations (English) |
| Author:
|
Pospíšek, Miroslav |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1995 |
| Pages:
|
107-130 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, two algorithms are proposed to solve systems of algebraic equations generated by a discretization procedure of the weak formulation of boundary value problems for systems of nonlinear elliptic equations. The first algorithm, Newton-CG-MG, is suitable for systems with gradient mappings, while the second, Newton-CE-MG, can be applied to more general systems. Convergence theorems are proved and application to the semiconductor device modelling is described. (English) |
| Keyword:
|
systems of nonlinear algebraic equations |
| Keyword:
|
semiconductor device equations |
| MSC:
|
35J65 |
| MSC:
|
65H10 |
| MSC:
|
65M99 |
| MSC:
|
65N99 |
| idZBL:
|
Zbl 0834.35010 |
| idMR:
|
MR1314482 |
| DOI:
|
10.21136/AM.1995.134283 |
| . |
| Date available:
|
2009-09-22T17:47:03Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134283 |
| . |
| Reference:
|
[bank.cont] R.E. Bank, H.D. Mittelmann: Continuation and multi-grid for nonlinear elliptic systems.Multigrid Methods. Proceedings, Hackbusch, W. (ed.), Lect. Notes Math., Berlin, Heilderberg, New York, 1985. |
| Reference:
|
[bank.rose.81] R.E. Bank,D.J. Rose: Global approximate Newton methods.Numer. Math. 37 (1981), 279–295. Zbl 0442.65034, MR 0623045, 10.1007/BF01398257 |
| Reference:
|
[bpx.sym] J.H. Bramble, J.E. Pasciak, J. Xu: The analysis of multigrid algorithms with nonnested spaces or noninherited quadratic forms.Math. Comp. 56 (1991), 1–34. MR 1052086, 10.1090/S0025-5718-1991-1052086-4 |
| Reference:
|
[brussino.sonnad] G. Brussino, V. Sonnad: A comparison of direct and preconditioned iterative techniques for sparse, unsymmetric systems of linear equations.Int. J. Numer. Meth. Eng. 28 (1989), 801–815. 10.1002/nme.1620280406 |
| . |
