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