R
Richard Paul Shaw
Researcher at State University of New York System
Publications - 42
Citations - 619
Richard Paul Shaw is an academic researcher from State University of New York System. The author has contributed to research in topics: Wave propagation & Integral equation. The author has an hindex of 14, co-authored 42 publications receiving 607 citations. Previous affiliations of Richard Paul Shaw include University at Buffalo.
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An integral equation approach to diffusion
TL;DR: In this article, a method of solution of transient diffusion, e.g. heat conduction, problems in homogeneous and isotropic media with internal sources and arbitrary (including nonlinear) boundary conditions and initial conditions is proposed.
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Green's function for the vector wave equation in a mildly heterogeneous continuum
TL;DR: In this paper, a fundamental solution is derived for the case of time-harmonic elastic waves originating from a point source and propagating in a three-dimensional, unbounded heterogeneous medium with a Poisson's ratio of 0.25.
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Green's functions for heterogeneous media potential problems
TL;DR: In this article, an exact funddamental solution for a linearly varying, layered two-dimensional potential problem is given that does not appear to be available elsewhere, and a procedure for obtaining Green's functions for potential problems in heterogeneous materials is discussed.
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Green’s Functions for Helmholtz and Laplace Equations in Heterogeneous Media
Richard Paul Shaw,Nicos Makris +1 more
TL;DR: In this article, the fundamental Green's functions are developed for a class of heterogeneous materials for Helmholtz and Laplace equations, and used directly in standard boundary integral equation methods.
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Harmonic wave propagation through viscoelastic heterogeneous media exhibiting mild stochasticity — I. Fundamental solutions
TL;DR: Engng et al. as mentioned in this paper examined the propagation of time harmonic, horizontally polarized shear waves through a naturally occurring heterogeneous medium that exhibits viscous behaviour as well as random fluctuations of its elastic modulus about a mean value.