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Pyrometallurgical valorization of waelz, fayalite, and linz-donawitz slag mixtures. [PDF]
Sci RepRomero JL +7 more
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Numerical Calculations of Electric Response Properties Using the Bubbles and Cube Framework. [PDF]
J Phys Chem ASolala E +3 more
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Frequency Locking Method for Frequency Standards Based on Diamond NV Centers. [PDF]
Sensors (Basel)Guan S +7 more
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Layer Stripping for the Helmholtz Equation
SIAM Journal on Applied Mathematics, 1996Summary: We develop a new layer stripping technique for the inverse scattering problem for the one-dimensional Helmholtz equation on the half line. The technique eliminates the use of ``trace formulas'', relying instead on a nonlinear Plancherel equality that provides a simple and precise characterization of the reflection data.
John Sylvester 0002 +2 more
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Lattice Sums for the Helmholtz Equation
SIAM Review, 2010A survey of different representations for lattice sums for the Helmholtz equation is made. These sums arise naturally when dealing with wave scattering by periodic structures. One of the main objectives is to show how the various forms depend on the dimension $d$ of the underlying space and the lattice dimension $d_\Lambda$. Lattice sums are related to,
C M Linton
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The Topological Asymptotic for the Helmholtz Equation
SIAM Journal on Control and Optimization, 2003Summary: The aim of the topological sensitivity analysis is to obtain an asymptotic expansion of a functional with respect to the creation of a small hole in the domain. In this paper such an expansion is obtained for the Helmholtz equation with a Dirichlet condition on the boundary of a circular hole.
Bessem Samet +2 more
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Parallel controllability methods for the Helmholtz equation [PDF]
Computer Methods in Applied Mechanics and Engineering, 2020 The Helmholtz equation is notoriously difficult to solve with standard numerical methods, increasingly so, in fact, at higher frequencies. Controllability methods instead transform the problem back to the time-domain, where they seek the time-harmonic solution of the corresponding time-dependent wave equation.
Marcus J Grote, Jet Hoe Tang
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Symmetry Problems for the Helmholtz Equation
Applied Mathematics Letters, 2019Abstract Let D be a bounded domain in R 2 with a smooth boundary S , N be the unit normal to S pointing out of D , k > 0 is a constant. The class of over-determined problems of the type: ∇ 2 u + k 2 u = c 0 i n D , u | S = c 1 , u N
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2010
The Helmholtz equation $$(\Delta + k^2)w(x) = 0$$ (7.1) arises naturally in physical applications related to wave propagation and vibration phenomena. We mention several important examples.
Goong Chen, Goong Chen, Jianxin Zhou
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The Helmholtz equation $$(\Delta + k^2)w(x) = 0$$ (7.1) arises naturally in physical applications related to wave propagation and vibration phenomena. We mention several important examples.
Goong Chen, Goong Chen, Jianxin Zhou
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2001
The acoustic wave equation described the propagation of the sound in a medium like the air. It results, e.g., from the equation of the compressible gas dynamic, also called the compressible Navier-Stokes equations. In the case of small displacements of the gas, a linearization of these equations leads to an equation for the displacement and the small ...
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The acoustic wave equation described the propagation of the sound in a medium like the air. It results, e.g., from the equation of the compressible gas dynamic, also called the compressible Navier-Stokes equations. In the case of small displacements of the gas, a linearization of these equations leads to an equation for the displacement and the small ...
openaire +1 more source