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Relevant bibliographies by topics / Volume Surface Integral Equation

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Journal articles

Academic literature on the topic 'Volume Surface Integral Equation'

Author: Grafiati

Published: 6 September 2023

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Journal articles on the topic "Volume Surface Integral Equation"

1

Gomez, Luis J., Abdulkadir C. Yucel, and Eric Michielssen. "Volume-Surface Combined Field Integral Equation for Plasma Scatterers." IEEE Antennas and Wireless Propagation Letters 14 (December 2015): 1064–67. http://dx.doi.org/10.1109/lawp.2015.2390533.

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2

Kaplan, Meydan, and Yaniv Brick. "A fast solver framework for acoustic hybrid integral equations." Journal of the Acoustical Society of America 152, no. 4 (2022): A119. http://dx.doi.org/10.1121/10.0015743.

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Reliable modeling of the scattering by acoustically large and geometrically complex objects can be achieved by means of subdomain-dependent problem formulation and a numerically rigorous solution. While the objects’ inhomogeneity has driven the development of differential equation formulations and solvers, integral equation formulations, where the object’s background is modeled via a Green’s function, are advantageous for unbounded domains. In the hybrid integral equations approach (Usner et al., 2006), the interaction of separate subdomains with external fields is described by pertinent integ

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3

Remis, R., and E. Charbon. "An Electric Field Volume Integral Equation Approach to Simulate Surface Plasmon Polaritons." Advanced Electromagnetics 2, no. 1 (2013): 15. http://dx.doi.org/10.7716/aem.v2i1.23.

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In this paper we present an electric field volume integral equation approach to simulate surface plasmon propagation along metal/dielectric interfaces. Metallic objects embedded in homogeneous dielectric media are considered. Starting point is a so-called weak-form of the electric field integral equation. This form is discretized on a uniform tensor-product grid resulting in a system matrix whose action on a vector can be computed via the fast Fourier transform. The GMRES iterative solver is used to solve the discretized set of equations and numerical examples, illustrating surface plasmon pro

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4

Usner, B. C., K. Sertel, and J. L. Volakis. "Doubly periodic volume–surface integral equation formulation for modelling metamaterials." IET Microwaves, Antennas & Propagation 1, no. 1 (2007): 150. http://dx.doi.org/10.1049/iet-map:20050344.

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5

Ewe, Wei-Bin, Hong-Son Chu, and Er-Ping Li. "Volume integral equation analysis of surface plasmon resonance of nanoparticles." Optics Express 15, no. 26 (2007): 18200. http://dx.doi.org/10.1364/oe.15.018200.

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6

Amundsen, Lasse. "The propagator matrix related to the Kirchhoff‐Helmholtz integral in inverse wavefield extrapolation." GEOPHYSICS 59, no. 12 (1994): 1902–10. http://dx.doi.org/10.1190/1.1443577.

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The Kirchhoff‐Helmholtz formula for the wavefield inside a closed surface surrounding a volume is most commonly given as a surface integral over the field and its normal derivative, given the Green’s function of the problem. In this case the source point of the Green’s function, or the observation point, is located inside the volume enclosed by the surface. However, when locating the observation point outside the closed surface, the Kirchhoff‐Helmholtz formula constitutes a functional relationship between the field and its normal derivative on the surface, and thereby defines an integral equat

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7

Roco, M. C., and S. Mahadevan. "Scale-up Technique of Slurry Pipelines—Part 2: Numerical Integration." Journal of Energy Resources Technology 108, no. 4 (1986): 278–85. http://dx.doi.org/10.1115/1.3231277.

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A kinetic energy turbulence model has been proposed for the computer flow simulation and scale-up of slurry pipelines (in Part 1 [1]). The numerical integration is performed by using a modified finite volume technique, with application to high-convective two-phase flows in two and three dimensions (in Part 2). The mixture kinetic energy and eddy viscosity turbulence models are compared. The one-equation eddy-viscosity turbulence model (εt - model) is formulated in Part 2 and applied for the multi-species particle slurry flow in cylindrical pipes. A modified finite volume technique is proposed

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8

NWOGU, OKEY G. "Interaction of finite-amplitude waves with vertically sheared current fields." Journal of Fluid Mechanics 627 (May 25, 2009): 179–213. http://dx.doi.org/10.1017/s0022112009005850.

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A computationally efficient numerical method is developed to investigate nonlinear interactions between steep surface gravity waves and depth-varying ocean currents. The free-surface boundary conditions are used to derive a coupled set of equations that are integrated in time for the evolution of the free-surface elevation and tangential component of the fluid velocity at the free surface. The vector form of Green's second identity is used to close the system of equations. The closure relationship is consistent with Helmholtz's decomposition of the velocity field into rotational and irrotation

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9

NATSIOPOULOS, GEORGIOS. "ALTERNATIVE TIME DOMAIN BOUNDARY INTEGRAL EQUATIONS FOR THE SCALAR WAVE EQUATION USING DIVERGENCE-FREE REGULARIZATION TERMS." Journal of Computational Acoustics 17, no. 02 (2009): 211–18. http://dx.doi.org/10.1142/s0218396x09003938.

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In this short note alternative time domain boundary integral equations (TDBIE) for the scalar wave equation are formulated on a surface enclosing a volume. The technique used follows the traditional approach of subtracting and adding back relevant Taylor expansion terms of the field variable, but does not restrict this to the surface patches that contain the singularity only. From the divergence-free property of the added-back integrands, together with an application of Stokes' theorem, it follows that the added-back terms can be evaluated using line integrals defined on a cut between the surf

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10

Jin, J. M., V. V. Liepa, and C. T. Tai. "A Volume-Surface Integral Equation for Electromagnetic Scattering by Inhomogeneous Cylinders." Journal of Electromagnetic Waves and Applications 2, no. 5-6 (1988): 573–88. http://dx.doi.org/10.1163/156939388x00170.

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