Results 21 to 30 of about 3,669,023 (333)
Chirped elliptic waves: Coupled Helmholtz equations [PDF]
Europhysics Letters, 2022 Abstract Exact chirped elliptic wave solutions are obtained within the framework of coupled cubic nonlinear Helmholtz equations in the presence of non-Kerr nonlinearity like self-steepening and self-frequency shift. It is shown that, for a particular combination of the self-steepening and the self-frequency shift parameters, the ...
Naresh Saha, Barnana Roy, Avinash Khare
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The Helmholtz equation in heterogeneous media: A priori bounds, well-posedness, and resonances [PDF]
Journal of Differential Equations, 2018 We consider a variety of boundary value problems (BVPs) for the heterogeneous Helmholtz equation, i.e. the equation $\nabla\cdot(A \nabla u ) + k^2 n u =-f$ where both $A$ and $n$ are functions of position.
I. Graham, O. R. Pembery, E. Spence
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Solvability of discrete Helmholtz equations
IMA Journal of Numerical Analysis, 2022 Abstract We study the unique solvability of the discretized Helmholtz problem with Robin boundary conditions using a conforming Galerkin finite element method. Well-posedness of the discrete equations is typically investigated by applying a compact perturbation argument to the continuous Helmholtz problem so that a `sufficiently rich ...
Bernkopf, Maximilian +3 more
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Applied Mathematics Letters, 2020 Based on the combined field integral equation (CFIE) and the complex variable moving least squares (CVMLS) approximation, a complex variable boundary element-free method is developed for the exterior Neumann problem for the Helmholtz equation.
Linchong Chen, Xiaolin Li
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WaveHoltz: Iterative Solution of the Helmholtz Equation via the Wave Equation [PDF]
SIAM Journal on Scientific Computing, 2019 A new idea for iterative solution of the Helmholtz equation is presented. We show that the iteration which we denote WaveHoltz and which filters the solution to the wave equation with harmonic data evolved over one period, corresponds to a coercive ...
D. Appelö, Fortino Garcia, O. Runborg
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Inverse Random Source Scattering for the Helmholtz Equation with Attenuation [PDF]
SIAM Journal on Applied Mathematics, 2019 In this paper, a new model is proposed for the inverse random source scattering problem of the Helmholtz equation with attenuation. The source is assumed to be driven by a fractional Gaussian field whose covariance is represented by a classical pseudo ...
Peijun Li, Xu Wang
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Dimension Bounds in Monotonicity Methods for the Helmholtz Equation [PDF]
SIAM Journal on Mathematical Analysis, 2019 The article [HPS] established a monotonicity inequality for the Helmholtz equation and presented applications to shape detection and local uniqueness in inverse boundary problems.
B. Harrach, V. Pohjola, M. Salo
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Applied Sciences, 2023 Recently, to simulate sound propagation inside architectural spaces at high frequencies, the application of computationally expensive wave-based numerical methods to room acoustics simulation is increasing gradually.
Takeshi Okuzono
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Abstract and Applied Analysis, 2022 The ill-posed Helmholtz equation with inhomogeneous boundary deflection in a Hilbert space is regularized using the divergence regularization method (DRM).
Benedict Barnes +2 more
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Transfer equation for the strain rate tensor and description of an incompressible dispersed mixture (incompressible fluid) by a system of equations of dynamic type [PDF]
E3S Web of Conferences, 2021 It is known that the application of the vector operation rot to the equations of hydrodynamics leads to the Helmholtz-Friedman equation for a vortex.
Yuldashov Askar +3 more
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