Results 11 to 20 of about 12,528,126 (212)

On the adjoint of a symmetric operator [PDF]

open access: yes, 2007
In general it is a non-trivial task to determine the adjoint S* of an unbounded symmetric operator S in a Hilbert or Krein space. We propose a method to specify S* explicitly which makes use of two boundary mappings that satisfy an abstract Green's ...
Meda S.   +47 more
core   +4 more sources

Modelling uncertainty for flash floods in coastal plains using adjoint methods [PDF]

open access: yes, 2007
This paper shows the application of adjoint sensitivity analysis to flash flood wave propagation in a river channel. The adjoint sensitivity analysis is used to assess flood hazard in a coastal area caused by river discharge.
Copeland, Graham J.M., Elhanafy, Hossam
core   +3 more sources

Constraints Optimal Control Governing by Triple Nonlinear Hyperbolic Boundary Value Problem

open access: yesJournal of Applied Mathematics, 2020
The focus of this work lies on proving the existence theorem of a unique state vector solution (Stvs) of the triple nonlinear hyperbolic boundary value problem (TNHBVP) when the classical continuous control vector (CCCVE) is fixed by using the Galerkin ...
Jamil A. Ali Al-Hawasy, Lamyaa H. Ali
doaj   +1 more source

Parameter-Free Shape Optimization: Various Shape Updates for Engineering Applications

open access: yesAerospace, 2023
In the last decade, parameter-free approaches to shape optimization problems have matured to a state where they provide a versatile tool for complex engineering applications.
Lars Radtke   +6 more
doaj   +1 more source

Comparison of Direct and Adjoint k and α-Eigenfunctions

open access: yesJournal of Nuclear Engineering, 2021
Modal expansions based on k-eigenvalues and α-eigenvalues are commonly used in order to investigate the reactor behaviour, each with a distinct point of view: the former is related to fission generations, whereas the latter is related to time. Well-known
Vito Vitali   +4 more
doaj   +1 more source

Mitigation of flash floods in arid regions using adjoint sensitivity analysis [PDF]

open access: yes, 2007
This paper presents an analysis of the sensitivities of flood wave propagation to variations in certain control variables and boundary conditions by means of the adjoint method.
Copeland, Graham J.M., Elhanafy, Hossam
core   +3 more sources

Control and Optimization of Interfacial Flows Using Adjoint-Based Techniques

open access: yesFluids, 2020
The applicability of adjoint-based gradient computation is investigated in the context of interfacial flows. Emphasis is set on the approximation of the transport of a characteristic function in a potential flow by means of an algebraic volume-of-fluid ...
Alexandru Fikl   +2 more
doaj   +1 more source

On one condition of absolutely continuous spectrum for self-adjoint operators and its applications [PDF]

open access: yesOpuscula Mathematica, 2018
In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operators is considered. For the analysis it is used an approximation of a self-adjoint operator \(A\) by a sequence of operators \(A_n\) with absolutely ...
Eduard Ianovich
doaj   +1 more source

The Necessary Condition for Optimal Boundary Control Problems for Triple Elliptic Partial Differential Equations

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2021
       In this work, we prove that the triple linear partial differential equations (PDEs) of elliptic type (TLEPDEs) with a given classical continuous boundary control vector (CCBCVr) has a unique "state" solution vector (SSV)  by utilizing the ...
Jamil A. Ali Al-Hawasy   +1 more
doaj   +1 more source

Aerodynamic Optimization Based on Continuous Adjoint Method for a Flexible Wing

open access: yesInternational Journal of Aerospace Engineering, 2016
Aerodynamic optimization based on continuous adjoint method for a flexible wing is developed using FORTRAN 90 in the present work. Aerostructural analysis is performed on the basis of high-fidelity models with Euler equations on the aerodynamic side and ...
Zhaoke Xu, Jian Xia
doaj   +1 more source

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