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Showing 1 to 20 of 94 for “"Green's Functions"”.
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Dislocations and Green's functions in prestressed solids
… Ph.D. dissertation is divided into two Parts: Green's function and problems of the inclusions and dislocations are addressed in the first Part, while implementation of elastoplastic constitutive laws are treated in the second. These subjects can be seen as different approaches to the …
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Green's functions methods for justifying quasi-particle models
… of the exact selfenergies and correlation functions. In addition to demonstrating that the quasi-particle models are correct, information on the regions of validity for ~hese models is obtained. .As by-products of these derivations, microscopic expressions for the parameters of the …
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Neutronics analysis for cylindrical assembly using Green's functions
… represented in cylindrical coordinates using a Green's function or Green's function matrix method for both one group and two group neutron diffusion. The analytic results for a two-dimensional cylindrical system are simplified by assuming a cosine flux shape in the horizontal direction. This …
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Exact and Approximated Green's Functions for Neutron Diffusion Theory
Made available in DSpace on 2017-07-06T18:58:57Z (GMT). No. of bitstreams: 3 Streibich_Matthew_W_MS.pdf: 14579807 bytes, checksum: 90defe5c6cf869d03ef95f79ed0a4455 (MD5) Streibich_Matthew_W_MS_ABS.pdf: 542939 bytes, checksum: f6101bccc7d73b530bbfaf98aef882c3 (MD5) license.txt: 4813 bytes, checksum: …
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Synthesis of dynamic Green's functions for distributed parameter systems
… method is presented for the synthesis of dynamic Green's functions of complex distributed parameter systems from previously known Green's functions of their elemental substructures. The method allows for the incorporation of both discrete and distributed constraints into the formulation and is …
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Static and transient Green's functions for diffusion in anisotropic bimaterials
Includes bibliographical references (pages 112-117).
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Determination of Composite Domain Green's Functions for Transient Heat Conduction
Made available in DSpace on 2017-07-06T18:55:39Z (GMT). No. of bitstreams: 3 Nightingale_James_S_MS.pdf: 35659228 bytes, checksum: 4fc2272434cc6f68a6681372953b4a6f (MD5) Nightingale_James_S_MS_ABS.pdf: 403413 bytes, checksum: 5299d958c5fe36cca484cf2ac5f9f7cb (MD5) license.txt: 4813 bytes, checksum: …
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High-order hybrid methods using Green's functions and finite elements
"Green's functions provide an elegant mathematical framework for linear partial differential boundary value problems by directly defining solutions in integral form. For a Green's function that satisfies the desired boundary conditions, this form is a convolution of the Green's function with the …
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Numerically efficient analysis of microstrip configurations using closed-form Green's functions
… in this work by using a spatial domain Green's function. The derivation of the closed-form spatial domain Green's functions for the vector and scalar potentials is presented for a microstrip geometry with a substrate and superstrate for which the thicknesses can be arbitrary. The current …
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Dosimetry of High-Energy Heavy-Ion Beams Using Energy-Dependent Green's Functions
… tissue is developed. The energy-dependent Green’s functions and particle fluxes are obtained for two boundary distributions - the monoenergetic and the Gaussian. Approximate energy-dependent Green’s functions for the collision terms are obtained for computational simplicity. As an …
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DYADIC GREEN'S FUNCTIONS FOR LAYERED GENERAL ANISOTROPIC MEDIA AND THEIR APPLICATION TO RADIATION OF DIPOLE ANTENNAS
<p>In this dissertation, the dyadic Green‟s functions (DGFs) for unbounded and layered anisotropic media, with no restriction imposed on the medium property, are derived. Utilizing the obtained DGFs, the radiation problems of a Hertzian dipole and a microstrip antenna in the presence of an …
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The Computation of Exact Green's Functions in Acoustic Analogy By a Spectral Collocation Boundary Element Method
… pressure involves computing exact, or tailored, Green's functions for use in acoustic analogy. The effects of sound propagation and scattering by solid surfaces are included in the exact Green's function, which is tailored for a specific geometry. The exact Green's function is computed using a …
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Electrodynamic Green's Functions in Layered Media: Accurate Closed -Form Approximations for Both Electric and Magnetic Sources
… for the calculation of the electrodynamic Green's function in the presence of planar media composed of layers of arbitrary material composition and thickness. Special emphasis was placed on making the computer tool robust to ensure the accuracy of the calculated Green's function over a very …
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Green's functions for plane-layered elastostatic and viscoelastic regions with application to 3-D crack analysis
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Civil Engineering, 1987.
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Green's Functions of Discrete Fractional Calculus Boundary Value Problems and an Application of Discrete Fractional Calculus to a Pharmacokinetic Model
… The main purpose of this thesis is to calculate Green's functions of fractional difference equations, and to model problems in pharmacokinetics. We claim that the discrete fractional calculus yields the best prediction performance compared to the continuous fractional calculus in the application …
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Reactor Static Optimization With Integral System Equations
… are transformed into integral equations by using Green's functions. Two-group, two-dimensional Green's functions for the neutron diffusion equations have been derived.
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Development of the Fast Multipole Method for Stratified Medium
… a layered medium. A symmetric form of the dyadic Green's function is derived. All image scalar Green's functions within the dyadic Green's function are factorized. The fast algorithm can be completed by implementing these factorized scalar Green's functions in the free-space fast inhomogeneous …
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