Results 101 to 110 of about 180 (154)

Maximizing Band Gaps In Two-Dimensional Photonic Crystals

. Photonic crystals are periodic structures composed of dielectric materials, and designed to exhibit band gaps i.e., ranges of frequencies in which electromagnetic waves cannot propagate, or other interesting spectral behavior.
Steven J. Cox, David C. Dobson, David
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On the Problem of Optimal Material Distribution

, 1996
The paper considers the problem of optimum distribution of two materials with a linear scalar elliptic PDE as the state problem and a general objective functional, not only compliance.
Markku Miettinen, Jan Dvorak, Jaroslav Haslinger   +2 more
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A Discontinuous Finite Element Method For Solving A Multi-Well Problem

, 1998
. Many physical materials of practical relevance can attain several variants of crystalline microstructure. The appropriate energy functional is necessarily non-convex, and the minimization of the functional becomes a challenging problem. A new numerical
Matthias K. Gobbert, Andreas Prohl
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Second Order Dynamics Featuring Tikhonov Regularization and Time Scaling. [PDF]

J Optim Theory Appl
Csetnek ER, Karapetyants MA.
europepmc   +1 more source

On compositions of special cases of Lipschitz continuous operators. [PDF]

Fixed Point Theory Algorithm Sci Eng, 2021
Giselsson P, Moursi WM.
europepmc   +1 more source

Detection and Remediation of Stagnation in the Nelder-Mead Algorithm Using a Sufficient Decrease Condition

, 1997
. The Nelder-Mead algorithm can stagnate and converge to a non-optimal point, even for very simple problems. In this note we propose a test for sufficient decrease which, if passed for the entire iteration, will guarantee convergence of the Nelder-Mead ...
C. T. Kelley
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A Majorization-Minimization Algorithm for Neuroimage Registration. [PDF]

SIAM J Imaging Sci
Zhou G, Tward D, Lange K.
europepmc   +1 more source

Optimal control strategies for the reliable and competitive mathematical analysis of Covid-19 pandemic model. [PDF]

Math Methods Appl Sci, 2022
Butt AIK, Imran M, Chamaleen DBD, Batool S.   +3 more
europepmc   +1 more source

Convergence Of An Iterative Method For Total Variation Denoising

. In total variation denoising, one attempts to remove noise from a signal or image by solving a nonlinear minimization problem involving a total variation criterion.
David C. Dobson, Curtis, Curtis R. Vogel, R. Vogel   +3 more
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A Trust Region Method For Parabolic Boundary Control Problems

, 2007
. In this paper we develop a trust region algorithm for constrained parabolic boundary control problems. The method is a projected form of the Steihaug trust-region-CG method with a smoothing step added at each iteration to improve performance in the ...
C. T. Kelley, Kelley Sachs, E. W. Sachs
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