Classical and Hybrid Optimization Approaches and Their Applications in Engineering and Economics

Vasant, Pandian
Weber, Gerhard Wilhelm
Vo Ngoc Dieu, Vo Ngoc Dieu


Element solution of electromagnetic problems over a wide frequency range via the Pade approximation
Kuzuoğlu, Mustafa (1999-02-12)
In electromagnetic wave propagation problems, it is usually necessary to calculate the field quantities over a wide band of frequencies. In this paper, we develop a computationally-efficient scheme, which combines the finite element method (FEM) with the Pade approximation procedure, to derive the power series expansion of the unknown solution vector in terms of the frequency. Explicit power series expressions of the matrix operator are obtained for boundary value problems that are defined, not only over bo...
Selçuk, Nevin (1988-05-01)
Exact expressions for the distributions of the components of radiative flux density and the radiative energy source term in terms of wall and medium temperature distributions have been formulated for an emitting absorbing medium of constant properties bounded by black walls of a cylindrical enclosure. The accuracy of numerical solutions has been tested on an idealized enclosure for which exact analytical solution of the expressions is possible and shown to have six‐figure accuracy. The exact expressions hav...
A finite element approach for biological fluidized bed modelling
Soyupak, S.; Sürücü, G.; Nakiboglu, H. (Elsevier BV, 1990-5)
Robustness of Reduced Order Non-Parametric Model for Inverse ECG Solution Against Modeling and Measurement Noise
Onak, Onder Nazim; Serinağaoğlu Doğrusöz, Yeşim; Weber, Gerhard Wilhelm (2018-01-01)
Spline-based methods have been applied to inverse problems in science and engineering. Those studies have shown that if proper spline bases can be chosen, problem complexity can be significantly reduced while increasing estimation accuracy and robustness against the disturbances. We proposed non-parametric regression spline based approach for the solution of inverse ECG problem and assessed its robustness against measurement noise, variation of the heart size from its true size, and their combination. Our m...
Performance Evaluation of the Numerical Flux Jacobians in Flow Solution and Aerodynamic Design Optimization
Ezertas, Alper; Eyi, Sinan (2010-07-16)
A direct sparse matrix solver is utilized for the flow solution and the analytical sensitivity analysis. The effects of the accuracy of the numerical Jacobians on the accuracy of sensitivity analysis and on the performance of the Newton's method flow solver are analyzed in detail. The gradient based aerodynamic design optimization is employed to demonstrate those effects.
Citation Formats
P. Vasant, G. W. Weber, and V. N. D. Vo Ngoc Dieu, “Classical and Hybrid Optimization Approaches and Their Applications in Engineering and Economics,” MATHEMATICAL PROBLEMS IN ENGINEERING, pp. 0–0, 2015, Accessed: 00, 2020. [Online]. Available: