Semi-discrete finite difference multiscale scheme for a concrete corrosion model : approximation estimates and convergence - Collections

＜preprint＞
Semi-discrete finite difference multiscale scheme for a concrete corrosion model : approximation estimates and convergence

Creator	Creator Name Chalupecký, Vladimír Affiliation Affiliation Name Institute of Mathematics for Industry, Kyushu University
Creator	Creator Name Muntean, Adrian Affiliation Affiliation Name Faculty of Mathematics and Computer Science, CASA - Center for Analysis, Scientific computing and Applications, Institute for Complex Molecular Systems (ICMS), Technical University of Eindhoven
Language	English
Publisher	Faculty of Mathematics, Kyushu University
Publisher	九州大学大学院数理学研究院
Date	2011-06-24
Source Title	MI Preprint Series
Vol	2011-13
Publication Type	Author's Original
Access Rights	open access
Related DOI	MI Preprint Series \|\| 2011-13 \|\| p1-21
Related DOI	http://www.math.kyushu-u.ac.jp/
Related URI	MI Preprint Series \|\| 2011-13 \|\| p1-21
Related URI	http://www.math.kyushu-u.ac.jp/
Relation	MI Preprint Series \|\| 2011-13 \|\| p1-21
Relation	http://www.math.kyushu-u.ac.jp/
Abstract	We propose a semi-discrete finite difference multiscale scheme for a concrete corrosion model consisting of a system of two-scale reaction-diffusion equations coupled with an ode. We prove energy and ...regularity estimates and use them to get the necessary compactness of the approximation estimates. Finally, we illustrate numerically the behavior of the two-scale finite difference approximation of the weak solution.show more

File	FileType	Size	Views	Description
MI2011-13	pdf	298 KB	247

Record ID	19789
Peer-Reviewed	Unrefereed
Subject Terms	Multiscale reaction-diffusion equations
	Two-scale finite difference method
	Approximation of weak solutions
	Convergence
	Concrete corrosion
Type	プレプリント
Created Date	2011.07.05
Modified Date	2023.11.24