Results 91 to 100 of about 1,838,692 (271)

Eigenvalue enclosures and exclosures for non-self-adjoint problems in hydrodynamics [PDF]

, 2010
In this paper we present computer-assisted proofs of a number of results in theoretical fluid dynamics and in quantum mechanics. An algorithm based on interval arithmetic yields provably correct eigenvalue enclosures and exclosures for non-self-adjoint ...
Langer, M., Brown, Brian Malcolm, Brown, B. Malcolm, Wagenhofer, Markus, Langer, Matthias, Wagenhofer, M., Tretter, C., Marletta, Marco, Tretter, Christine, Marletta, M., Tretter, Christiane   +10 more
core   +1 more source

Optimal Design of Elastic Plates: Hybrid Numerical Method Based on Homogenization and Shape Derivative

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper focuses on optimal design problems in the context of the Kirchhoff‐Love model for pure bending of a thin, solid, symmetric plate under a transverse load. The objective is to simultaneously determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain in order to minimize compliance.
Ivana Crnjac, Jelena Jankov Pavlović, Petar Kunštek   +2 more
wiley   +1 more source

Geometry of Continuous Adjoint Newton's Method for Bivariate Quadratics

Maple Transactions
Newton's method is a classical iterative approach for computing solutions to nonlinear equations. To overcome some of its drawbacks, one often considers a continuous adjoint form of Newton's method. This paper investigates the geometric structure of the trajectories produced by the continuous adjoint Newton's method for bivariate quadratics, a system ...
Jonathan D. Hauenstein, Caroline Hills, Hoon Hong, Francisco Ponce Carrión   +3 more
openaire   +2 more sources

Shape Optimization Using the Aero-structural Coupled Adjoint Approach for Viscous Flows [PDF]

, 2011
The aero-structural coupled adjoint approach here is an efficient approach to compute the gradients of the aerodynamic coefficients obtained from coupled fluid-structure simulations.
Brezillon, Joel, Abu-Zurayk, Mohammad
core  

Fast Reconstruction of Motion‐Corrupted Data With Mobile‐GRAPPA: Motion and δB0$$ \delta {B}_0 $$ Inhomogeneity Correction Leveraging Efficient GRAPPA

Magnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To develop an accurate and computationally efficient motion‐corrected MRI reconstruction framework that incorporates hundreds to thousands of motion and δB0$$ \delta {B}_0 $$ estimates from high‐temporal‐resolution tracking. Methods We propose Mobile‐GRAPPA, a k‐space preprocessing approach that uses MLP‐parameterized local GRAPPA ...
Yimeng Lin, Nan Wang, Daniel Abraham, Daniel Polak, Xiaozhi Cao, Aizada Nurdinova, Stephen Cauley, Kawin Setsompop   +7 more
wiley   +1 more source

Extension of Jensen's Inequality for Operators without Operator Convexity

Abstract and Applied Analysis, 2011
We give an extension of Jensen's inequality for 𝑛-tuples of self-adjoint operators, unital 𝑛-tuples of positive linear mappings, and real-valued continuous convex functions with conditions on the operators' bounds.
Jadranka Mićić, Zlatko Pavić, Josip Pečarić   +2 more
doaj   +1 more source

FURTHER RESULTS ON JENSEN-TYPE INEQUALITIES

Проблемы анализа, 2019
In this paper, we establish some Jensen-type inequalities for continuous functions of self-adjoint operators on complex Hilbert spaces. Furthermore, using the Cartesian decomposition of an operator, we improve the known result due to Mond and Peˇcari´c.
B. Moosavi, H. R. Moradi, M. Shah Hosseini   +2 more
doaj   +1 more source

A CONTINUOUS ADJOINT FORMULATION WITH EMPHASIS TO AERODYNAMIC-TURBOMACHINERY OPTIMIZATION [PDF]

, 2006
This paper summarizes progress, recently made in the Lab. of Thermal Turbomachines of NTUA, on the formulation and use of the continuous adjoint methods in aerodynamic shape optimization problems.
Giannakoglou, K.C. (author), Giannakoglou, K, Papadimitriou, D.I. (author), Papadimitriou, D   +3 more
core   +2 more sources

An adjoint for likelihood maximization

, 2009
The process of likelihood maximization can be found in many different areas of computational modelling. However, the construction of such models via likelihood maximization requires the solution of a difficult multi-modal optimization problem involving ...
Bressloff, Neil W., Andy J. Keane, Keane, Andy J., Holden, Carren, Alexander I J Forrester, Neil W Bressloff, Carren Holden, Forrester, Alexander I.J., Toal, David J.J.   +8 more
core   +1 more source

A Physics‐Informed Koopman Operator Framework for Decentralized Discrete‐Time Sequential Control of a Modular Aerial Parcel Delivery Robot

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This paper presents a Physics‐Informed Koopman Operator (PIKO) framework integrated with a discrete‐time Sequential Action Control (SAC) for real‐time, decentralized control of a modular aerial parcel delivery robot composed of multiple independently actuated propeller modules.
Archit Krishna Kamath, Peng Shi, Ramesh K. Agarwal   +2 more
wiley   +1 more source