Introduction to Computational Methods for Physicists

Üstünel, Hande


Rigorous Analysis of Double-Negative Materials with the Multilevel Fast Multipole Algorithm
Ergül, Özgür Salih (2012-02-01)
We present rigorous analysis of double-negative materials (DNMs) with surface integral equations and the multilevel fast multipole algorithm (MLFMA). Accuracy and efficiency of numerical solutions are investigated when DNMs are formulated with two recently developed formulations, i.e., the combined tangential formulation (CTF) and the electric and magnetic current combined-field integral equation (JMCHE). Simulation results on canonical objects are consistent with previous results in the literature on ordin...
Formulation of a beam finite element for micro beams
Pehlivanoğlu, Yücel; Kadıoğlu, Fevzi Suat; Department of Mechanical Engineering (2018)
This study presents an Euler Bernoulli type micro-beam finite element for analyzing the size-dependent static and dynamic behavior of micro beams. The new element is based on Modified Couple Stress Theory (MCST). The governing equations of motion and the boundary conditions for the beam are derived and the conventional Galerkin technique is employed to formulate the finite element. The new element can be reduced to Classical Euler-Bernoulli beam element if the size-effect parameter in the element matrices i...
Studies on non-weakly regular bent functions and related structures
Pelen, Rumi Melih; Özbudak, Ferruh; Department of Mathematics (2020)
Interest in bent functions over finite fields arises both from mathematical theory and practical applications. There has been lots of literature addressing various properties of bent functions. They have a number of applications consisting of coding theory, cryptography, and sequence designs. They’re divided into four subclasses: regular bent functions that are contained within the class of weakly regular bent functions that are contained within the class of dual-bent functions. Additionally, there are non-...
Application of spring analogy mesh deformation technique in airfoil design optimization
Yang, Yosheph; Özgen, Serkan; Department of Aerospace Engineering (2015)
In this thesis, an airfoil design optimization with Computational Fluid Dynamics (CFD) analysis combined with mesh deformation method is elaborated in detail. The mesh deformation technique is conducted based on spring analogy method. Several improvements and modifications are addressed during the implementation of this method. These enhancements are made so that good quality of the mesh can still be maintained and robustness of the solution can be achieved. The capability of mesh deformation is verified by...
Electromagnetic interaction complexity reduction using deep learnin
Karaosmanoğlu, Barışcan; Ergül, Özgür Salih; Department of Electrical and Electronics Engineering (2019)
In this thesis, we present a novel approach to accelerate electromagnetic simulations by the multilevel fast multipole algorithm (MLFMA). The strategy is based on a progressive elimination of electromagnetic interactions, resulting in trimmed tree structures, during iterative solutions. To systematically perform such eliminations, artificial neural network (ANN) models are constructed and trained to estimate errors in updated surface current coefficients. These column eliminations are supported by straightf...
Citation Formats
H. Üstünel, “Introduction to Computational Methods for Physicists,” 00, 2009, Accessed: 00, 2020. [Online]. Available: