A discretization theory for a class of semi-coercive unilateral problems

Samir Adly; Daniel Goeleven

doi:10.1007/s002110000164

A discretization theory for a class of semi-coercive unilateral problems

Numerische Mathematik ◽

10.1007/s002110000164 ◽

2000 ◽

Vol 87 (1) ◽

pp. 1-34 ◽

Cited By ~ 6

Author(s):

Samir Adly ◽

Daniel Goeleven

Keyword(s):

Unilateral Problems ◽

Discretization Theory

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Nonlinear unilateral problems without sign condition in Musielak spaces

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00499-z ◽

2021 ◽

Vol 11 (2) ◽

Author(s):

Sidi Mohamed Douiri ◽

Abdelmoujib Benkirane ◽

Mustafa Ait Khellou ◽

Youssef El Hadfi

Keyword(s):

Sign Condition ◽

Unilateral Problems

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Existence and regularity results for unilateral problems with degenerate coercivity

Mathematica Slovaca ◽

10.1515/ms-2017-0313 ◽

2019 ◽

Vol 69 (6) ◽

pp. 1351-1366 ◽

Cited By ~ 1

Author(s):

Hocine Ayadi ◽

Rezak Souilah

Keyword(s):

Penalty Method ◽

Degenerate Coercivity ◽

Unilateral Problems ◽

Existence And Regularity Results ◽

Regularity Results

Abstract In this paper we prove some existence and regularity results for nonlinear unilateral problems with degenerate coercivity via the penalty method.

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A nonlinear discretization theory for meshfree collocation methods applied to quasilinear elliptic equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201800170 ◽

2020 ◽

Vol 100 (10) ◽

Author(s):

Klaus Böhmer ◽

Robert Schaback

Keyword(s):

Elliptic Equations ◽

Collocation Methods ◽

Quasilinear Elliptic Equations ◽

Quasilinear Elliptic ◽

Discretization Theory

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The FEM and BEM for fractal boundaries and interfaces. Applications to unilateral problems

Computers & Structures ◽

10.1016/s0045-7949(96)00137-x ◽

1997 ◽

Vol 64 (1-4) ◽

pp. 329-339 ◽

Cited By ~ 1

Author(s):

O.K. Panagouli ◽

P.D. Panagiotopoulos

Keyword(s):

Unilateral Problems

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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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Existence Results for Minima of Non-Coercive Funtionals and Applications to Unilateral Problems in Elasticity

Unilateral Problems in Structural Analysis — 2 ◽

10.1007/978-3-7091-2967-8_9 ◽

1987 ◽

pp. 139-150

Author(s):

F. Gastaldi

Keyword(s):

Existence Results ◽

Unilateral Problems

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A penalty method approach to strong solutions of some nonlinear parabolic unilateral problems

Nonlinear Analysis ◽

10.1016/0362-546x(82)90050-5 ◽

1982 ◽

Vol 6 (6) ◽

pp. 585-597 ◽

Cited By ~ 7

Author(s):

Flavio Donati

Keyword(s):

Penalty Method ◽

Strong Solutions ◽

Nonlinear Parabolic ◽

Unilateral Problems ◽

Method Approach

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A numerical method for unilateral problems

International Journal of Engineering Science ◽

10.1016/0020-7225(84)90082-x ◽

1984 ◽

Vol 22 (4) ◽

pp. 467-473 ◽

Cited By ~ 5

Author(s):

Muhammad Aslam Noor ◽

S.I.A. Tirmizi

Keyword(s):

Numerical Method ◽

Unilateral Problems

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Abstract unilateral problems

Conference on the Theory of Ordinary and Partial Differential Equations - Lecture Notes in Mathematics ◽

10.1007/bfb0066918 ◽

1972 ◽

pp. 51-64

Author(s):

G. Fichera

Keyword(s):

Unilateral Problems

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A class of nonlinear elliptic problems with nonconvex constraints and applications

Proceedings of the Edinburgh Mathematical Society ◽

10.1017/s0013091500019696 ◽

1998 ◽

Vol 41 (2) ◽

pp. 333-357

Author(s):

N. Chemetov ◽

J. F. Rodrigues

Keyword(s):

Existence Of Solutions ◽

Elliptic Problems ◽

Monotone Operators ◽

Global Constraints ◽

Nonlinear Elliptic Problems ◽

Nonlinear Elliptic ◽

Biological Population ◽

Unilateral Problems ◽

Nonlocal Terms ◽

Nonconvex Constraints

Conditions for the existence of solutions of a class of elliptic problems with nonconvex constraints are given in the general framework of pseudo-monotone operators. Applications are considered in unilateral problems of free boundary type, yielding the solvability of a Reynold's lubrication model and of a biological population problem with nonlocal terms and global constraints.

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