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Showing 1 to 20 of 32 for “"Boundary integral equation"”.
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A boundary integral equation approach to three dimensional electromagnetic wave scattering problems
… on the use of numerical techniques such as boundary element method (BEM), finite element method (FEM), or finite difference method (FDM). However, no single numerical method has emerged as the optimal method for solving all electromagnetic scattering problems. One numerical method might be …
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Boundary Integral Equation Solution of Plane Elasticity Problems With High Stress Concentrations
Made available in DSpace on 2014-12-13T19:31:56Z (GMT). No. of bitstreams: 1 8004240.pdf: 3579108 bytes, checksum: dd453a47fef151467431b22b1cec3ccd (MD5) Previous issue date: 1979
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Boundary integral equation based numerical solutions of helmholtz transmission problems for composite scatters
… dissertation, an in-depth comparison between boundary integral equation solvers and Domain Decomposition Methods (DDM) for frequency domain Helmholtz transmission problems in composite two-dimensional media is presented. Composite media are characterized by piece-wise constant material …
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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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Further numerical techniques for planar elastostatic analysis by the boundary integral equation 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 of the method is traced and the similarities …
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Irregular frequency removal from the boundary integral equation for the wave-body problem
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1994.
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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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Investigating the Feasibility and Stability for Modeling Acoustic Wave Scattering Using a Time-Domain Boundary Integral Equation with Impedance Boundary Condition
… using Fourier transforms, an impedance boundary condition can be used to simulate the acoustic wave scattering by geometric bodies treated with acoustic liners</p> <p>This work considers using either an impedance or an admittance (inverse of impedance) boundary condition to allow for …
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Método dos elementos de contorno para elasticidade tridimensional
The boundary integral equation is obtained from the Betti's theorem of reciprocity. Body forces and thermal effects are considered in the forrnulation. Isoparametric elemnts of plane triangular shape with linear variation for the functions, define the boundary. The integrals over the elements are …
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Método dos Elementos de Contorno para elasticidade linear bidimensional
… and using Kelvin's fundamental solution, a boundary integral equation is obtained, which is discretized, for computational implementation, using isoparametric linear elements. Applying the discretized integral equation at the boundary nodal points, a system of linear equations is obtained, …
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Three-dimensional layerwise modeling of layered media with boundary integral equations
… multi-layered system through its thickness, and integral Fourier transforms are used to obtain the exact solution for the in-plane problem. Explicit expressions are obtained for the fundamental solution of the typical infinite layer, which are applied in the two-dimensional boundary integral …
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A Class of Robust and Efficient Iterative Methods for Wave Scattering Problems
… iterative techniques for the solution of boundary integral equation formulations of time harmonic scattering problems. The primary result of this effort has been the development of several advanced numerical techniques which enable the dense matrix-vector products associated with the …
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Uma aplicação do Método dos Elementos de Contorno a problemas da elastodinâmica no domínio da frequência
The Direct Boundary Element Method is applied to solve general elastodynamic problems for homogeneous, isotropic and linearly elastic bodies. The Fourier Integral Transform technique is used to transform an elliptic partial differential equation with respect to time in an equation solvable in the …
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An unsteady, accelerated, high order panel method with vortex particle wakes
… of the domain vorticity is coupled to several boundary element method potential flow formulations. Source-doublet, doublet-Neumann membrane (doublet lattice), and source-Neumann boundary integral equation formulations are implemented. A precorrected-FFT accelerated Krylov subspace iterative …
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Cálculo de sensibilidades: uma aplicação do método dos elementos de contorno à otimização de forma
… sensitivity analysis with the application of the Boundary Element Method (B.E.M.) and its use in the shape design optimization. A shape sensitivity procedure is developed in wich the standard discretized version of the boundary integral equation is differentiated. The sensitivities of the surface …
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Theoretical study of heat distribution and surface temperatures generated in oscillating contact
… solution method developed is a variation of the boundary integral equation method (BIEM) in which a moving, full-space Green's function is used as the fundamental solution. The numerical characteristics and limitations for the solution method are presented, as well as the physical parameters that …
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FastStokes : a fast 3-D fluid simulation program for micro-electro-mechanical systems
We have developed boundary integral equation formulas and a corresponding fast 3-D Stokes flow simulation program named FastStokes to accurately simulate viscous drag forces on geometrically complicated MEMS (micro- electro- mechanical systems) devices. Unlike the 3-D finite element or finite …
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Development and applications of hypersingular boundary integral equations for three-dimensional acoustics and elastodynamics
The boundary integral equation/boundary element method (BIE/BEM) has emerged as a powerful alternative tool to other numerical methods for many problems in engineering. The hypersingular BIE's, which are derivatives of conventional BIE's, are indispensable for the analyses of many problems in …
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