Exact penalty operators and regularization of parabolic variational inequalities with an obstacle inside a domain

被引：7

作者：

Dautov, R. Z. ^{[1
]}

Mikheeva, A. I. ^{[1
]}

机构：

[1] Kazan VI Lenin State Univ, Kazan 420008, Russia

来源：

DIFFERENTIAL EQUATIONS | 2008年 / 44卷 / 01期

关键词：

D O I：

10.1134/S0012266108010072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A class of parabolic variational inequalities with zero obstacle inside the domain is considered. For this class, exact penalty operators are defined, which are then used to construct and study regularization methods. The following estimates are obtained for the closeness of the original and regularized problem: u - epsilon(1) <= u(epsilon) <= u + epsilon and parallel to u - u(epsilon)parallel to L-2(0(,)T;V-o)= O(epsilon(3/4)).

引用

页码：77 / 84

页数：8

共 32 条

[1] Exact penalty operators and regularization of parabolic variational inequalities with an obstacle inside a domain
R. Z. Dautov
A. I. Mikheeva
Differential Equations, 2008, 44 : 77 - 84
[2] Exact penalty operators for elliptic variational inequalities with an obstacle inside the domain
Dautov, RZ
DIFFERENTIAL EQUATIONS, 1995, 31 (06) : 942 - 951
[3] Accuracy of the Penalty Method for Parabolic Variational Inequalities with an Obstacle Inside the Domain
Mikheeva, A. I.
Dautov, R. Z.
RUSSIAN MATHEMATICS, 2008, 52 (02) : 39 - 45
[4] Accuracy of the penalty method for parabolic variational inequalities with an obstacle inside the domain
A. I. Mikheeva
R. Z. Dautov
Russian Mathematics, 2008, 52 (2) : 39 - 45
[5] Accuracy of the penalty method for parabolic variational inequalities with an obstacle inside the domain
A. I. Mikheeva
R. Z. Dautov
Russian Mathematics, 2008, 52 (2) : 39 - 45
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DIFFERENTIAL OPERATORS AND RELATED TOPICS, 2000, 117 : 359 - 370
[7] Bilateral obstacle control problem of parabolic variational inequalities
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[8] GENERALIZED PENALTY AND REGULARIZATION METHOD FOR DIFFERENTIAL VARIATIONAL-HEMIVARIATIONAL INEQUALITIES
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SIAM JOURNAL ON OPTIMIZATION, 2021, 31 (02) : 1158 - 1183
[9] ON THE SOLUTION OF VARIATIONAL-INEQUALITIES WITH MONOTONIC OPERATORS BY THE REGULARIZATION METHOD
RYAZANTSEVA, IP
USSR COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 1983, 23 (02): : 145 - 148
[10] A regularization approach for variational inequalities with pseudo-monotone operators
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Khan, AA
OPERATIONS RESEARCH PROCEEDINGS 1999, 2000, : 19 - 22

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