| Title:
|
Adaptive finite element analysis based on perturbation arguments (English) |
| Author:
|
Dai, Xiaoying |
| Author:
|
He, Lianhua |
| Author:
|
Zhou, Aihui |
| Language:
|
English |
| Journal:
|
Applications of Mathematics 2012 |
| Volume:
|
Proceedings. Prague, May 2-5, 2012 |
| Issue:
|
2012 |
| Year:
|
|
| Pages:
|
62-71 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We review some numerical analysis of an adaptive finite element method (AFEM) for a class of elliptic partial differential equations based on a perturbation argument. This argument makes use of the relationship between the general problem and a model problem, whose adaptive finite element analysis is existing, from which we get the convergence and the complexity of adaptive finite element methods for a nonsymmetric boundary value problem, an eigenvalue problem, a nonlinear boundary value problem as well as a nonlinear eigenvalue problem. (English) |
| Keyword:
|
adaptive finite element method |
| Keyword:
|
elliptic partial differential equations |
| Keyword:
|
perturbation argument |
| Keyword:
|
boundary value problem |
| Keyword:
|
eigenvalue problem |
| Keyword:
|
convergence |
| Keyword:
|
nonlinear boundary value problem |
| Keyword:
|
nonlinear eigenvalue problem |
| MSC:
|
35J25 |
| MSC:
|
35J60 |
| MSC:
|
35P15 |
| MSC:
|
35P30 |
| MSC:
|
65N12 |
| MSC:
|
65N25 |
| MSC:
|
65N30 |
| idZBL:
|
Zbl 1313.65300 |
| idMR:
|
MR3204453 |
| . |
| Date available:
|
2017-02-14T08:58:36Z |
| Last updated:
|
2025-08-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/702893 |
| . |
