Relevant bibliographies by topics / Bilateral obstacle problem

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters

Academic literature on the topic 'Bilateral obstacle problem'

Author: Grafiati
Published: 22 February 2023

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Journal articles on the topic "Bilateral obstacle problem"

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Addou, A., A. Lidouh, and B. Seddoug. "A projection algorithm for bilateral obstacle problem." Mathematics and Computers in Simulation 77, no. 2-3 (2008): 142–50. http://dx.doi.org/10.1016/j.matcom.2007.08.003.

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Chen, Qihong, Delin Chu, and Roger C. E. Tan. "Bilateral Obstacle Control Problem of Parabolic Variational Inequalities." SIAM Journal on Control and Optimization 46, no. 4 (2007): 1518–37. http://dx.doi.org/10.1137/050638047.

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Bouchlaghem, Mohammed, and El Bekkaye Mermri. "Analysis of a mixed formulation of a bilateral obstacle problem." Applied Mathematics and Computation 320 (March 2018): 45–55. http://dx.doi.org/10.1016/j.amc.2017.09.016.

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Chen, Qihong. "Optimal obstacle control problem for semilinear evolutionary bilateral variational inequalities." Journal of Mathematical Analysis and Applications 307, no. 2 (2005): 677–90. http://dx.doi.org/10.1016/j.jmaa.2005.01.058.

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Bouchlaghem, Mohammed, and El Bekkaye Mermri. "A Uzawa algorithm with multigrid solver for a bilateral obstacle problem." Applied Mathematics and Computation 389 (January 2021): 125553. http://dx.doi.org/10.1016/j.amc.2020.125553.

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Barboteu, Mikaël, Krzysztof Bartosz, and Piotr Kalita. "An analytical and numerical approach to a bilateral contact problem with nonmonotone friction." International Journal of Applied Mathematics and Computer Science 23, no. 2 (2013): 263–76. http://dx.doi.org/10.2478/amcs-2013-0020.

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We consider a mathematical model which describes the contact between a linearly elastic body and an obstacle, the so-called foundation. The process is static and the contact is bilateral, i.e., there is no loss of contact. The friction is modeled with a nonmotonone law. The purpose of this work is to provide an error estimate for the Galerkin method as well as to present and compare two numerical methods for solving the resulting nonsmooth and nonconvex frictional contact problem. The first approach is based on the nonconvex proximal bundle method, whereas the second one deals with the approximation of a nonconvex problem by a sequence of nonsmooth convex programming problems. Some numerical experiments are realized to compare the two numerical approaches.
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Rauls, Anne-Therese, and Stefan Ulbrich. "On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem." SIAM Journal on Control and Optimization 59, no. 5 (2021): 3683–707. http://dx.doi.org/10.1137/20m135916x.

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Bachmar, Aziza. "A Problem with Wear Involving Thermo-Electro-viscoelastic Materials." Journal of Siberian Federal University. Mathematics & Physics 15, no. 2 (2022): 239–52. http://dx.doi.org/10.17516/1997-1397-2022-15-2-239-252.

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In this paper, we consider a mathematical model of a contact problem in thermo-electro- viscoelasticity. The body is in contact with an obstacle. The contact is frictional and bilateral with a moving rigid foundation which results in the wear of the contacting surface. We establish a variational formulation for the model and we prove the existence of a unique weak solution to the problem. The proof is based on a classical existence and uniqueness result on parabolic inequalities, differential equations and fixed point arguments. We present a variational formulation of the problem, and we prove the existence and uniqueness of the weak solution
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Lévi, Laurent. "The singular limit of a bilateral obstacle problem for a class of degenerate parabolic–hyperbolic operators." Advances in Applied Mathematics 35, no. 1 (2005): 34–57. http://dx.doi.org/10.1016/j.aam.2004.10.001.

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Amassad, Amina, and Caroline Fabre. "Existence for viscoplastic contact with Coulomb friction problems." International Journal of Mathematics and Mathematical Sciences 32, no. 7 (2002): 411–37. http://dx.doi.org/10.1155/s0161171202110179.

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We present existence results in the study of nonlinear problem of frictional contact between an elastic-viscoplastic body and a rigid obstacle. We model the frictional contact both by a Tresca's friction law and a regularized Coulomb's law. We assume, in a first part, that the contact is bilateral and that no separation takes place. In a second part, we consider the Signorini unilateral contact conditions. Proofs are based on a time-discretization method, Banach and Schauder fixed point theorems.
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Dissertations / Theses on the topic "Bilateral obstacle problem"

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CLEMENTE, FRANCESCO. "On some nonlinear elliptic Dirichlet problems with lower order terms." Doctoral thesis, 2020. http://hdl.handle.net/11573/1360409.

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This Ph.D. Thesis is devoted to boundary value problems associated to some classes of second order nonlinear elliptic PDEs in bounded open subsets of R^N. More precisely, we consider, first, two classes of noncoercive Dirichlet problems and we study the regularizing effect of a lower order term of power type on the summability properties of solutions. Then, for one class, we investigate the asymptotic behaviour of solutions as the power goes to infinity, while, for the other, we analyse local properties of solutions depending on local properties of data (with and without the lower order term of power type). Finally, the last topic is also studied for a class of nonlinear elliptic Dirichlet problems with a singular nonlinearity.
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Book chapters on the topic "Bilateral obstacle problem"

1

Murea, Cornel Marius, and Dan Tiba. "A Penalization Method for the Elliptic Bilateral Obstacle Problem." In IFIP Advances in Information and Communication Technology. Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-45504-3_18.

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Stykalin, Aleksandr S. "Problems and pressure points in Hungarian-Romanian relations in the context of a “change of systems” and subsequent post-communist development." In Central and South-Eastern Europe in the twentieth and twenty-first centuries: researches and documents. Institute of Slavic Studies, Russian Academy of Sciences; Nestor-Istoriia, 2021. http://dx.doi.org/10.31168/2712-8342.2021.2.18.

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In the constitution adopted after the fall of the Ceauşescu regime, Romania was declared a unitary nation-state, which was an obstacle to granting autonomy to two counties of Eastern Transylvania where ethnic Hungarians make up the vast majority of the population. Nevertheless, this issue continues to be part of the political life of Romania, periodically increasing the tension in relations between Bucharest not only with the Hungarian parties of Romania, but also with the Hungarian government that supports these parties. The fundamental differences in approach to the problem of the status of the Hungarian minority in Transylvania did not, however, become an obstacle to the progressive development of mutually beneficial bilateral cooperation between the two neighboring countries. Owing to the fact that the Hungarian national consciousness continues to perceive the loss of Transylvania as painful, “wars” of historical memory flare up from time to time between Romania and Hungary. However, pragmatic considerations, and, above all, mutual interest in economic cooperation, contribute to overcoming any conflicts that emerge.
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Journal articles
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