Results 11 to 20 of about 129,913 (284)
Monopoles, instantons and the Helmholtz equation [PDF]
Journal of Mathematical Physics, 2016 In this work we study the dimensional reduction of smooth circle invariant Yang-Mills instantons defined on 4-manifolds which are non-trivial circle fibrations over hyperbolic 3-space.
Franchetti, Guido, Maldonado, Rafael
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On a fourth order nonlinear Helmholtz equation [PDF]
Journal of the London Mathematical Society, 2018 In this paper, we study the mixed dispersion fourth order nonlinear Helmholtz equation $\Delta^2 u -\beta \Delta u + \alpha u= \Gamma|u|^{p-2} u$ in $\mathbb R^N$ for positive, bounded and $\mathbb Z^N$-periodic functions $\Gamma$.
Abramowitz M. +11 more
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Generalized Helmholtz equation
Selecciones Matemáticas, 2019 In this paper we introduce the generalized Helmholtz equation and present explicit solutions to this generalized Helmholtz equation, these solutions depend on three holomorphic functions.
Carlos C. Riveros, Armando V. Corro
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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 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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An exact transverse Helmholtz equation [PDF]
Journal of the Optical Society of America A, 2009 We derive an exact equation for the transverse component of the electric field propagating along a given longitudinal z direction in the presence of an isotropic refractive-index distribution n(x,y).
Bruno, Crosignani +2 more
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Helmholtz-Manakov solitons [PDF]
, 2005 A novel spatial soliton-bearing wave equation is introduced, the Helmholtz-Manakov (H-M) equation, for describing the evolution of broad multi-component self-trapped beams in Kerr-type media. By omitting the slowly-varying envelope approximation, the H-M
Chamorro-Posada, P +2 more
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Mathematics, 2023 The traditional finite element method (FEM) could only provide acceptable numerical solutions for the Helmholtz equation in the relatively small wave number range due to numerical dispersion errors.
Yingbin Chai +4 more
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