scholarly journals A numerical approach to variational problems subject to convexity constraint

2001 ◽  
Vol 88 (2) ◽  
pp. 299-318 ◽  
Author(s):  
G. Carlier ◽  
T. Lachand-Robert ◽  
B. Maury
Keyword(s):  
Variational Problems ◽  
Numerical Approach ◽  
Convexity Constraint

New Numerical Approach for Fractional Variational Problems Using Shifted Legendre Orthonormal Polynomials

2016 ◽  
Vol 174 (1) ◽  
pp. 295-320 ◽  
Author(s):  
Samer S. Ezz-Eldien ◽  
Ramy M. Hafez ◽  
Ali H. Bhrawy ◽  
Dumitru Baleanu ◽  
Ahmed A. El-Kalaawy
Keyword(s):  
Variational Problems ◽  
Numerical Approach ◽  
Orthonormal Polynomials ◽  
Fractional Variational Problems

scholarly journals On approximating minimizers of convex functionals with a convexity constraint by singular Abreu equations without uniform convexity

2020 ◽  
pp. 1-21
Author(s):  
Nam Q. Le
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fourth Order ◽  
Approximation Problem ◽  
Variational Problems ◽  
Uniform Convexity ◽  
Convex Functionals ◽  
Convexity Constraint ◽  
Fourth Order Equations ◽  
Appl Math

Abstract We revisit the problem of approximating minimizers of certain convex functionals subject to a convexity constraint by solutions of fourth order equations of Abreu type. This approximation problem was studied in previous articles of Carlier–Radice (Approximation of variational problems with a convexity constraint by PDEs of Abreu type. Calc. Var. Partial Differential Equations58 (2019), no. 5, Art. 170) and the author (Singular Abreu equations and minimizers of convex functionals with a convexity constraint, arXiv:1811.02355v3, Comm. Pure Appl. Math., to appear), under the uniform convexity of both the Lagrangian and constraint barrier. By introducing a new approximating scheme, we completely remove the uniform convexity of both the Lagrangian and constraint barrier. Our analysis is applicable to variational problems motivated by the original 2D Rochet–Choné model in the monopolist's problem in Economics, and variational problems arising in the analysis of wrinkling patterns in floating elastic shells in Elasticity.

THERMAL MODELING OF ICE-PACKS IN COOLING VESTS FOR EXTREME HOT CLIMATIC CONDITION: A NUMERICAL APPROACH

2018 ◽  
Author(s):  
Vedant Bhuyar ◽  
Shiv Ram Suthar ◽  
Mohit Vijay ◽  
Prodyut R. Chakraborty
Keyword(s):  
Climatic Condition ◽  
Thermal Modeling ◽  
Numerical Approach
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