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Showing 1 to 20 of 31 for “"integral equation method"”.
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Recent Development in Low Frequency Integral Equation Method
… to model the seabed logging problem. The popular method to model the problem is the finite-difference time-domain (FDTD) method, which suffers from very large number of marching steps because the time step is small and the operating frequency is low. Our numerical results show several orders …
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Augmented Surface Integral Equation Method for Low-Frequency Electromagnetic Analysis
Several fundamental aspects of the surface integral equation (SIE) method including the low-frequency breakdown, the skin effect, and the substrate effect, have been addressed for full-wave electromagnetic analysis in the low-frequency regime, especially the modeling of electrical interconnects on …
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A surface integral equation method for dielectrics at low frequencies
This thesis is dedicated to using surface integral equations to solve electro- magnetic problems involved in integrated circuits. Since normally the sizes of the devices in this application are much smaller than the wavelength of the electromagnetic waves, special considerations are needed because …
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Transient Electromagnetic Analysis for Microstrip Structures Based on Time Domain Integral Equation Method
… attention. This thesis focuses on time domain integral equation methods, also known as time domain method of moments (TD-MOM), for analyzing scattering and radiation problems. TD-MOM schemes are applied to problems involving four different environments: three-dimensional (3D) free space, …
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The Boundary Integral Equation Method for Torsion of an Inhomogeneous Variable Diameter Shaft
A Boundary Integral Equation (BIE) formulation is developed which is capable of analyzing the torsion of a variable diameter shaft with an axisymmetric shear modulus in a particular form. The governing differential equation for this problem is the equation of the Generalized Bi-axially Symmetric …
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Numerical Analysis of Elastic Plates and Shallow Shells by an Integral Equation Method
Made available in DSpace on 2014-12-08T23:57:20Z (GMT). No. of bitstreams: 1 7013310.pdf: 6833681 bytes, checksum: 082506df863a479523c32b3a762c94d6 (MD5) Previous issue date: 1969
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Further numerical techniques for planar elastostatic analysis by the boundary integral equation method
Prior experience of the Finite Element Method stimulated interest and led to research into the Boundary Integral Equation Method, specifically for the solution of planar elastostatic problems. A complete expose of the mathematical theory of the Boundary Integral Equation Method is given. The basis …
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Approximate Determination of Stresses Near Notches and Corners in Elasticmedia by an Integral Equation Method
Made available in DSpace on 2014-12-10T22:21:39Z (GMT). No. of bitstreams: 1 7206862.pdf: 2780428 bytes, checksum: 517fb0b1972b5e65c126ffd07f198267 (MD5) Previous issue date: 1971
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An enhanced volume integral equation method and augmented equivalence principle algorithm for low frequency problems
Two techniques based on integral equation methods are addressed. Firstly, a novel volume integral equation method is proposed to characterize the scattering properties of dielectric objects involving inhomogeneous and anisotropic permittivity and permeability. Two algorithms are available: …
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Numerical green's function in surface integral equation method and hydrodynamic model for solar cell analysis
… numerical Green's function (NGF) in the surface integral equation (SIE) method for inhomogeneous media have been addressed, including the process of solving for the NGF from differential equation, the integrating of NGF with SIE, the NGF based augmented-electric field integral equation (A-EFIE) …
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A meshless, high-order integral equation method for smooth surfaces, with application to biomolecular electrostatics
In this thesis, we develop methods for efficient simulation of biomolecular electrostatics based on Poisson-Boltzmann equation. Current techniques using finite-difference solution of differential formulation have many drawbacks. We present an integral formulation that resolves these difficulties …
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Computation of Dynamic Stress Intensity Factors by the Time Domain Boundary Integral Equation Method (Crack, Propagating)
Application of the direct-time-domain boundary integral equation method (BIEM) to the solution of a number of elastodynamic crack problems is presented. In addition to the usual element having constant space and time interpolation of tractions and displacements on the boundary, a new boundary …
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A combined high-order spectral and boundary integral equation method for modelling wave interactions with submerged bodies
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1997.
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On the boundary integral equation method for the solution of some problems for inhomogeneous media / Mohammad Ivan Azis.
This thesis employs integral equation methods, or boundary element methods (BEMs), for the solution of three kinds of engineering problems associated with inhomogeneous materials or media: a class of elliptical boundary value problems (BVPs), the boundary value problem of static linear elasticity, …
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Low-Frequency Subsurface Electromagnetic Modeling
Subsurface electromagnetic (EM) methods are applied to obtain underground information that is not available from surface observations. This research develops numerical methods for subsurface electromagnetic modeling. The dissertation includes: (1) fast one-dimensional forward and inverse modeling, …
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Electromagnetic simulations in frequency and time domain using adaptive integral method
The subject of this thesis is to investigate methods to improve the performance of the adaptive integral method (AIM) for effective large scale simulations in both the frequency and the time domain. This is achieved by reducing the storage requirements, decreasing the amount of computational loads …
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Exponentially Weighted Moving Average Charts for Monitoring the Process Generalized Variance
… steady-state run length distributions. The three methods that are commonly used to determinate run length distribution, simulation, the integral equation method, and the Markov chain approximation are discussed. The integral equation and Markov chain approaches are analytical methods that require …
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An enhanced augmented electric field integral equation and the calculation of casimir force using computational electromagnetics
In this dissertation, a surface integral equation formulation is developed for low-frequency problems by generalizing the existing augmented electric field integral equation from the perfect electric conductors to the dielectrics and general conductors. Detailed discussions of the basis functions …
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Theoretical study of heat distribution and surface temperatures generated in oscillating contact
… to develop an efficient and accurate solution method to predict the distribution of frictional heat and resulting temperature rise for simple systems with sliding contact. The solution method developed is a variation of the boundary integral equation method (BIEM) in which a moving, full-space …
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The Solution of a Singular Integral Equation Arising From a Lifting Surface Theory for Rotating Blades
… of a linear, two dimensional, singular, Volterra integral equation of the first kind. The integral equation, originally developed by Farassat and Myers, is derived from the basic equations of linearized acoustics and models the lifting force experienced by an infinitesimally thin surface moving …
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