volume integral


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volume integral

[′väl·yəm ′int·ə·grəl]
(mathematics)
An integral of a function of several variables with respect to volume measure taken over a three-dimensional subset of the domain of the function.
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Their topics include the composite scattering and Doppler spectra of a moving ship at a time-evolving sea surface, volume integral equation solvers for electromagnetic scattering by penetrable objects, analytical formulations of scattering by finite circular cylinder and thin dielectric circular disk, electromagnetic wave scattering in dense media: applications in the remote sensing of sea ice and vegetation, and target feature extraction with polarimetric radar.
Generalized Born / Volume integral (GB / VI) implicit solvent method implemented in MOE was used to identify binding affinities of the hits with PIM kinases [21].
The 21 papers of this year's iteration include discussions of coupled multi-domain boundary element method and finite element method for analyzing interaction between fluids and structures, simulating pattern formation in reaction-diffusion systems by the local integral equation method, green element method solutions to steady inverse contaminant transport problems, an alternative dynamic fundamental solution for plate bending including the shear deformation effect, the inverse scattering analysis of elastic half space by means of the fast volume integral equation method, and the least squares method as a refining technique in boundary element method analysis.
Therefore, the use of a formulation based on a volume integral equation (VIE) has recently gained interest.
Under this condition, it is feasible to replace the volume integral in Equation (6) by discrete summation.
Here, we discuss the impact of both Fourier factorization methods on the efficiency and accuracy of the volume integral method, formulated in the (transverse) spectral domain.
Among the topics are a boundary element solution of thermal creeping flow in a nanometer single mixer, evaluating interface cracks, rotational symmetry applied to boundary element computation for nuclear fusion plasma, fundamental solutions for inverse obstacle acoustic scattering, the volume integral equation method for analyzing scattered waves in an elastic half space, and analyzing layered soil problems with an alternative multi-region boundary element method technique and a new infinite boundary element formulation.
If one assumes such a boundary, like those in stationary solutions of the non-linear equations, the included energy becomes the volume integral within this boundary
In this work, with use of the law of perfect gases, the external virtual work is expressed in terms of the enclosed volume integral and not of a surface integral [10].
Each Fourier transform F(Q) equals the volume integral [8] of the respective [rho](r)exp(-iQ * r), Q denoting the wave vector transfer.
The premise of BEM, however, asserts that a volume integral can be reduced to a surface integral, and by calculating the boundary of the volume, the behavior of the interior can be predicted.
Chapter 7 focuses on the volume integral approach, and Chapter 8 is devoted to eigenfunction solutions for generalized cylindrical waveguides.