Error bounds on semi-discrete finite element approximation of a moving-boundary system arising in concrete corrosion

被引：0

作者：

Muntean, Adrian ^{[1
]}

机构：

[1] Tech Univ Eindhoven, Ctr Anal Sci Comp & Applicat, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands

来源：

INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING | 2008年 / 5卷 / 03期

关键词：

reaction-diffusion system; moving-boundary problem; spatial semi-discretization; finite elements; a priori estimates; a posteriori estimates; concrete corrosion;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Finite element approximations of positive weak solutions to a one-phase unidimensional moving-boundary system with kinetic condition describing the penetration of a sharp-reaction interface in concrete are considered. A priori and a posteriori error estimates for the semi-discrete fields of active concentrations and for the position of the moving interface are obtained. The important feature of the system of partial differential equations is that the nonlinear coupling occurs due to the presence of both the moving boundary and the non-linearities of localized sinks and sources by reaction.

引用

页码：353 / 372

页数：20

共 16 条

[1] ERROR ESTIMATES FOR SEMI-DISCRETE FINITE ELEMENT APPROXIMATIONS FOR A MOVING BOUNDARY PROBLEM CAPTURING THE PENETRATION OF DIFFUSANTS INTO RUBBER
Nepal, Surendra
Wondmagegne, Yosief
Muntean, Adrian
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2022, 19 (01) : 101 - 125
[2] Semi-discrete finite-element approximation of nonlocal hyperbolic problem
Chaudhary, Sudhakar
Srivastava, Vimal
APPLICABLE ANALYSIS, 2022, 101 (02) : 479 - 496
[3] UNIFORM L1 ERROR BOUNDS FOR SEMI-DISCRETE FINITE ELEMENT SOLUTIONS OF EVOLUTIONARY INTEGRAL EQUATIONS
Lin, Qun
Xu, Da
Zhang, Shuhua
APPLICATIONS OF MATHEMATICS 2012, 2012, : 144 - 162
[4] BOUNDARY ELEMENT APPROXIMATION OF THE SEMI-DISCRETE PARABOLIC VARIATIONAL INEQUALITIES OF THE SECOND KIND
丁睿
蒋美群
彭大萍
NumericalMathematicsAJournalofChineseUniversities(EnglishSeries), 2005, (04) : 330 - 339
[5] The fictitious domain method with penalty for the parabolic problem in moving-boundary domain: The error estimate of penalty and the finite element approximation
Zhou, Guanyu
APPLIED NUMERICAL MATHEMATICS, 2017, 115 : 42 - 67
[6] AN ERROR ESTIMATE FOR A FINITE-ELEMENT APPROXIMATION OF AN ELLIPTIC VARIATIONAL INEQUALITY FORMULATION OF A HELE-SHAW MOVING-BOUNDARY PROBLEM
ELLIOTT, CM
JANOVSKY, V
IMA JOURNAL OF NUMERICAL ANALYSIS, 1983, 3 (01) : 1 - 9
[7] Semi-discrete finite difference multiscale scheme for a concrete corrosion model: a priori estimates and convergence
Vladimír Chalupecký
Adrian Muntean
Japan Journal of Industrial and Applied Mathematics, 2012, 29 : 289 - 316
[8] Semi-discrete finite difference multiscale scheme for a concrete corrosion model: a priori estimates and convergence
Chalupecky, Vladimir
Muntean, Adrian
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2012, 29 (02) : 289 - 316
[9] Optimal error estimates for the semi-discrete and fully-discrete finite element schemes of the Allen-Cahn equation
Wang, Danxia
Wei, Xuliang
Chen, Chuanjun
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2025, 462
[10] Error Estimates for Semi-Discrete and Fully Discrete Galerkin Finite Element Approximations of the General Linear Second-Order Hyperbolic Equation
Basson, M.
Stapelberg, B.
van Rensburg, N. F. J.
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2017, 38 (04) : 466 - 485

← 1 2 →