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Jaroslav Haslinger (1979)
Aplikace matematiky
The dual variational formulation of some free boundary value problem is given and its approximation by finite element method is studied, using piecewise linear elements with non-positive divergence.
José Llena Sitjes (1988)
Trabajos de Investigación Operativa
La programación lineal sobre subconjuntos difusos, definida por Zimmermann, se desarrolla en estrecha relación con la definición de las funciones pertinentes funciones de pertenencia. Se estudia la dualidad difusa, ligada a la dualidad en los problemas de programación lineal con multicriterios.
Bildhauer, Michael, Fuchs, Martin, Repin, Sergey (2008)
Annales Academiae Scientiarum Fennicae. Mathematica
Sony Khatri, Ashish Kumar Prasad (2023)
Kybernetika
The present article explores the way -approximated method is applied to substantiate duality results for the fractional variational problems under invexity. -approximated dual pair is engineered and a careful study of the original dual pair has been done to establish the duality results for original problems. Moreover, an appropriate example is constructed based on which we can validate the established dual statements. The paper includes several recent results as special cases.
Ján Lovíšek (1981)
Aplikace matematiky
The paper presents a problem of duality for the obstacle and unilateral biharmonic problem (the equilibrium of a thin plate with an obstacle inside the domain or on the boundary). The dual variational inequality is derived by introducing polar functions.
Tran Quoc Chien (1984)
Kybernetika
Tran Quoc Chien (1984)
Kybernetika
Tran Quoc Chien (1984)
Kybernetika
M. Hintermüller, R. H. W. Hoppe, C. Löbhard (2014)
ESAIM: Control, Optimisation and Calculus of Variations
A dual-weighted residual approach for goal-oriented adaptive finite elements for a class of optimal control problems for elliptic variational inequalities is studied. The development is based on the concept of C-stationarity. The overall error representation depends on primal residuals weighted by approximate dual quantities and vice versa as well as various complementarity mismatch errors. Also, a priori bounds for C-stationary points and associated multipliers are derived. Details on the numerical...
Oanh Chau, Viorica Motreanu (2002)
International Journal of Applied Mathematics and Computer Science
We consider dynamic problems which describe frictional contact between a body and a foundation. The constitutive law is viscoelastic or elastic and the frictional contact is modelled by a general subdifferential condition on the velocity, including the normal damped responses. We derive weak formulations for the models and prove existence and uniqueness results. The proofs are based on the theory of second-order evolution variational inequalities. We show that the solutions of the viscoelastic problems...
Longbiao Ma, Fenghua He, Long Wang, Denggao Ji, Yu Yao (2018)
Kybernetika
This paper studies the dynamic coverage control problem for cooperative region reconnaissance where a group of agents are required to reconnoitre a given region. The main challenge of this problem is that the sensing region of each agent is an ellipse. This modeling results in asymmetric(directed) interactions among agents. First, the region reconnaissance is formulated as a coverage problem, where each point in the given region should be surveyed until a preset level is achieved. Then, a coverage...
Mete Soner, Nizar Touzi (2002)
Journal of the European Mathematical Society
Giuseppe Da Prato, Arnaud Debussche (2000)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Giuseppe da Prato, Arnaud Debussche (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
We solve an optimal cost problem for a stochastic Navier-Stokes equation in space dimension 2 by proving existence and uniqueness of a smooth solution of the corresponding Hamilton-Jacobi-Bellman equation.
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