Results 261 to 270 of about 287,701 (296)

Tractable Relaxations of Composite Functions

Mathematics of Operations Research, 2022
In this paper, we introduce new relaxations for the hypograph of composite functions assuming that the outer function is supermodular and concave extendable. Relying on a recently introduced relaxation framework, we devise a separation algorithm for the graph of the outer function over P, where P is a special polytope to capture the structure of each ...
Taotao He, Mohit Tawarmalani
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Functions of Relaxed Controls

SIAM Journal on Control, 1967
Mathematical control theory problems involving solutions of certain partial differential equations, nonadditive set functions, or other functionals - approximation and existence ...
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A relaxation function with distribution of relaxation times

Physics Letters A, 1970
Abstract A dispersion function based on mixed second order kinetics is interpreted as a linear dispersion system with infinite many relaxators explicitly given.
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A remark on relaxation of integral functionals

Nonlinear Analysis: Theory, Methods & Applications, 1991
The paper under review concerns the calculation of the relaxed functional \(F(u)=\int_ \Omega f(\nabla u)dx\) with \(u\in W^{1,p}(\Omega; \mathbb{R}^ 2)\), \(2\leq ...
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Waveform Relaxation for Functional-Differential Equations

SIAM Journal on Scientific Computing, 1999
The authors study the convergence of waveform relaxation techniques for solving functional-differential equations. They derive new error estimates and obtain sharp error bounds.
Zubik-Kowal, Barbara, Vandewalle, Stefan
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RELAXATION OF FUNCTIONALS INVOLVING HOMOGENEOUS FUNCTIONS AND INVARIANCE OF ENVELOPES

Chinese Annals of Mathematics, 2002
It is well known that minimization problems involving functionals of the type : \(I\left( u\right) =\int_{\Omega }W\left( \nabla u\right) dx\) do not have solutions in the general case, that is without assumptions on \(W\) which imply the weak lower semicontinuity of \(I\) on appropriate Sobolev spaces.
Bousselsal, M., Le Dret, H.
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The relaxation of functionals with surface energies [PDF]

Asymptotic Analysis, 1989
The relaxation of a variational principle is determined when a superficial term is present. Lower semicontinuity of the functional may fail even when both integrands are convex. Generalized solutions, in terms of parametrized measures or Young measures, are introduced and analyzed. Several examples are given.
Kinderlehrer, David, Vergara-Caffarelli, Giorgio   +1 more
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OnM-functions and nonlinear relaxation methods

BIT Numerical Mathematics, 1985
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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