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Showing 1 to 20 of 90 for “"Boundary integral"”.
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Complex boundary integral techniques for turbomachinery blading
Integral equation techniques are used to solve interior and exterior (including cascade) Neumann problems. The equations are in terms of the boundary values of the derivatives of the harmonic function sought. The equations are derived using the complex variables forms of Green’s theorem. They are …
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Boundary-integral formulations for three-dimensional fluid-structure interaction
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 1991.
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Seismological applications of boundary integral and Gaussian beam methods
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Earth, Atmospheric, and Planetary Sciences, 1991.
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Boundary integral methods for lifting bodies with vortex wakes
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1996.
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Boundary integral/spectral element solution of the Navier-Stokes equations
A boundary integral/spectral element technique was developed to solve the unsteady Navier-Stokes equations and the steady convective transport equation. A semi-implicit formulation of the temporal integration rendered a linear spatial problem at sequential time increments. For low to moderate …
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Numerical methods for boundary integral equations in wave body interactions
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Ocean Engineering, 1988.
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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 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 Method for Interfacial Potential Flows in Unbounded Axi-Symmetric Domains
While the objective is to explore alternative damage mechanisms due to ultrasound, the work is not restricted as such. Indeed, the work is concerned with surface tension driven singularities at fluid interface in general. Within this study, different regimes are found and the conditions which …
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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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Higher-Order Finite Element -Boundary Integral Methods for Electromagnetic Scattering and Radiation Analysis
Higher-order finite element-boundary integral (FE-BI) methods are studied for fast and accurate numerical analysis of electromagnetic scattering and radiation problems. First, a higher-order FE-BI method is presented for the scattering analysis of large, deep, and arbitrarily shaped open cavities. …
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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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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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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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Calculation of wave resistance and elevation of arbitrarily shaped bodies using the boundary integral element method
… bodies on or below the free surface using a Boundary Integral Element Method ( Panel Method). The method uses a singularity distribution over the body surface and the free surface. The method can solve for the potential distribution as well as the source density distribution. In this study a …
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A Higher -Order Finite Element: Boundary Integral Method for Electromagnetic Scattering and Radiation From Bodies of Revolution
The hybrid finite element - boundary integral method (FE-BI) is used to compute the radar cross section (RCS) and radiated fields of bodies of revolution (BOR). This is a 2.5-D problem since it allows simulations in a 2-D domain to correspond to a full 3-D object. The interior region, which …
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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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