A posteriori finite element error estimators for parametrized nonlinear boundary value problems

Autor:	Werner C. Rheinboldt, Jinn-Liang Liu
Rok vydání:	1996
Předmět:	Control and Optimization Partial differential equation Numerical analysis Mathematical analysis Estimator Bilinear form Finite element method Computer Science Applications Nonlinear system Norm (mathematics) Signal Processing Boundary value problem Analysis Mathematics
Zdroj:	Numerical Functional Analysis and Optimization. 17:605-637
ISSN:	1532-2467 0163-0563
Popis:	A posteriori 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 assumption 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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::c189978047f2db0d6d597182f1b94087 https://doi.org/10.1080/01630569608816714 Zobrazit plný text záznamu