Chapter 4 Thermal Control Problems, Boundary Unilateral Problems, and Elliptic Variational Inequalities of Order 4

Numerical Analysis of Variational Inequalities - Studies in Mathematics and Its Applications ◽

10.1016/s0168-2024(08)70205-4 ◽

1981 ◽

pp. 249-345

Keyword(s):

Variational Inequalities ◽

Thermal Control ◽

Control Problems ◽

Elliptic Variational Inequalities ◽

Unilateral Problems

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Convergence of distributed optimal control problems governed by elliptic variational inequalities

Computational Optimization and Applications ◽

10.1007/s10589-011-9438-7 ◽

2011 ◽

Vol 53 (2) ◽

pp. 375-393 ◽

Author(s):

Mahdi Boukrouche ◽

Domingo A. Tarzia

Keyword(s):

Optimal Control ◽

Variational Inequalities ◽

Optimal Control Problems ◽

Control Problems ◽

Distributed Optimal Control ◽

Elliptic Variational Inequalities ◽

Distributed Optimal Control Problems

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Necessary Conditions for Control Problems Governed by Elliptic Variational Inequalities with an Infinite Number of Variables

Journal of Information and Optimization Sciences ◽

10.1080/02522667.1994.10699179 ◽

1994 ◽

Vol 15 (2) ◽

pp. 171-178 ◽

Author(s):

S. A. El-Zahaby

Keyword(s):

Variational Inequalities ◽

Infinite Number ◽

Necessary Conditions ◽

Control Problems ◽

Elliptic Variational Inequalities

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Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities

Journal of Mathematical Analysis and Applications ◽

10.1016/0022-247x(81)90125-6 ◽

1981 ◽

Vol 80 (2) ◽

pp. 566-597 ◽

Author(s):

Viorel Barbu

Keyword(s):

Variational Inequalities ◽

Distributed Control ◽

Necessary Conditions ◽

Control Problems ◽

Distributed Control Problems ◽

Elliptic Variational Inequalities

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Optimization Control Problems for Systems Described by Elliptic Variational Inequalities with State Constraints

Applied and Numerical Harmonic Analysis - Methods of Fourier Analysis and Approximation Theory ◽

10.1007/978-3-319-27466-9_14 ◽

2016 ◽

pp. 211-224

Author(s):

Simon Serovajsky

Keyword(s):

Variational Inequalities ◽

State Constraints ◽

Control Problems ◽

Elliptic Variational Inequalities ◽

Optimization Control

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Some Optimal Control Problems Governed by Elliptic Variational Inequalities with Control and State Constraint on the Boundary

Journal of Optimization Theory and Applications ◽

10.1023/a:1004613630675 ◽

2000 ◽

Vol 106 (3) ◽

pp. 627-655 ◽

Author(s):

G. Wang ◽

Y. Zhao ◽

W. Li

Keyword(s):

Optimal Control ◽

Variational Inequalities ◽

Optimal Control Problems ◽

State Constraint ◽

Control Problems ◽

Elliptic Variational Inequalities

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Appendix 4 Further Discussion of Boundary Unilateral Problems and Elliptic Variational Inequalities of Order K. Application to Fluid Mechanics

Numerical Analysis of Variational Inequalities - Studies in Mathematics and Its Applications ◽

10.1016/s0168-2024(08)70212-1 ◽

1981 ◽

pp. 653-716

Keyword(s):

Variational Inequalities ◽

Fluid Mechanics ◽

Elliptic Variational Inequalities ◽

Unilateral Problems

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Error bound analysis of the D-gap functions for a class of elliptic variational inequalities with applications to frictional contact mechanics

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-021-01602-x ◽

2021 ◽

Vol 72 (5) ◽

Author(s):

Nguyen Van Hung ◽

Vo Minh Tam

Keyword(s):

Variational Inequalities ◽

Contact Mechanics ◽

Error Bound ◽

Frictional Contact ◽

Gap Functions ◽

Elliptic Variational Inequalities ◽

Error Bound Analysis ◽

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An adaptive wavelet collocation method for solving optimal control of elliptic variational inequalities of the obstacle type

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.09.026 ◽

2018 ◽

Vol 75 (2) ◽

pp. 470-485 ◽

Author(s):

M. Khaksar-e Oshagh ◽

M. Shamsi

Keyword(s):

Optimal Control ◽

Variational Inequalities ◽

Collocation Method ◽

Adaptive Wavelet ◽

Elliptic Variational Inequalities ◽

Wavelet Collocation Method

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Circumventing the Babuška-Brezzi condition in mixed finite element approximations of elliptic variational inequalities

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(92)90163-e ◽

1992 ◽

Vol 97 (2) ◽

pp. 193-210 ◽

Author(s):

Helio J.C. Barbosa ◽

Thomas J.R. Hughes

Keyword(s):

Finite Element ◽

Variational Inequalities ◽

Mixed Finite Element ◽

Finite Element Approximations ◽

Elliptic Variational Inequalities

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Monotone Iterations for Elliptic Variational Inequalities

Free boundary problems: ◽

10.1201/9780203755518-30 ◽

2019 ◽

pp. 335-343

Author(s):

R. Kornhuber

Keyword(s):

Variational Inequalities ◽

Monotone Iterations ◽

Elliptic Variational Inequalities

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