A numerical verification method for solutions of nonlinear parabolic problems - Collections

＜journal article＞
A numerical verification method for solutions of nonlinear parabolic problems

Creator	Author PID K000676 Creator Name Nakao, Mitsuhiro T. 中尾, 愼宏ナカオ, ミツヒロ Affiliation Affiliation Name Faculty of Mathematics, Kyushu University 九州大学大学院数理学研究院
Creator	Creator Name Hashimoto, Kouji 橋本, 弘治ハシモト, コウジ Affiliation Affiliation Name Division of Infant Education, Nakamura Gakuen Junior College 中村学園大学短期大学部幼児保育学科
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2009-04-08
Source Title	Journal of Math-for-Industry (JMI)
Vol	1
Issue	A
First Page	69
Last Page	72
Publication Type	Version of Record
Access Rights	open access
Related DOI	JMI ; 2009A-9
Related DOI	Journal of Math-for-Industry \|\| 1(A) \|\| p69-72
	JMI \|\| 1(A) \|\| p69-72
	http://gcoe-mi.jp/
Related URI	Journal of Math-for-Industry \|\| 1(A) \|\| p69-72
	JMI \|\| 1(A) \|\| p69-72
	http://gcoe-mi.jp/
Relation	JMI ; 2009A-9
	Journal of Math-for-Industry \|\| 1(A) \|\| p69-72
	JMI \|\| 1(A) \|\| p69-72
	http://gcoe-mi.jp/
Abstract	By using the finite element approximation and constructive a priori error estimates, a new formulation for proving the existence of solutions for nonlinear parabolic problems is presented. We present ...a method to estimate the norm of the linearized inverse operator for concerned nonlinear problem. Then we formulate a verification principle for solutions by using the Newton-type operator incorporating with Schauder's fixed point theorem.show more

File	FileType	Size	Views	Description
JMI2009A-9	pdf	164 KB	138

Record ID	13976
Peer-Reviewed	Refereed
Subject Terms	Numerical veri cation
	Guaranteed error bounds
	Parabolic problem
Notes	MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry
Notes	グローバルCOEプログラム「マス･フォア･インダストリ教育研究拠点」
Type	学術雑誌論文
Created Date	2009.10.20
Modified Date	2017.12.07