標題: | A posteriori finite element error estimators for parametrized nonlinear boundary value problems |
作者: | Liu, JL Rheinboldt, WC 應用數學系 Department of Applied Mathematics |
公開日期: | 1996 |
摘要: | Aposteriori error estimators for finite element solutions of multi-parameter nonlinear partial differential equations are based on an element-by-element solution of local linearizations of the nonlinear equation. In general, the associated bilinear form of the linearized problems satisfies a Garding-type inequality. Under appropriate assumptions it is shown that the error estimators are bounded by constant multiples of the true error in a suitable norm. Computational experiments indicate that the estimators are effective, inexpensive, and insensitive to the choice of-the local coordinate system on the solution manifold. |
URI: | http://hdl.handle.net/11536/1550 |
ISSN: | 0163-0563 |
期刊: | NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION |
Volume: | 17 |
Issue: | 5-6 |
起始頁: | 605 |
結束頁: | 637 |
顯示於類別: | 期刊論文 |