Results 71 to 80 of about 3,283,376 (328)
Journal of Applied Mathematics, 2014 We consider an ill-posed initial boundary value problem for the Helmholtz equation. This problem is reduced to the inverse continuation problem for the Helmholtz equation.
Sergey Igorevich Kabanikhin +4 more
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Advances in Difference Equations, 2019 In this paper, a class of sixth-order finite difference schemes for the Helmholtz equation with inhomogeneous Robin boundary condition is derived.
Yang Zhang, Kun Wang, Rui Guo
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Methodological derivation of the eikonal equation
Discrete and Continuous Models and Applied Computational Science, 2023 Usually, when working with the eikonal equation, reference is made to its derivation in the monograph by Born and Wolf. The derivation of this equation was done rather carelessly.
Arseny V. Fedorov +4 more
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Generalized Kirchhoff approximation for Helmholtz equation [PDF]
, 2014 We give integral formulas to approximate solutions of Dirichlet and Neumann problems for Helmholtz equation at high frequencies. These approximations are valid in the complementary of a union of convex compact obstacles.
Cuvelier, François
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Is the Helmholtz Equation Really Sign-Indefinite? [PDF]
SIAM Review, 2014 The usual variational (or weak) formulations of the Helmholtz equation are sign-indefinite in the sense that the bilinear forms cannot be bounded below by a positive multiple of the appropriate norm squared. This is often for a good reason, since in bounded domains under certain boundary conditions the solution of the Helmholtz equation is not unique ...
MOIOLA, ANDREA, Spence, Euan A.
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Advanced Functional Materials, EarlyView.MXene dervied CoFe composites show increased initial Oxygen Evolution Reaction (OER) activity compared to the pure CoFe and MXene in an Anion Exchange Membrane device. Vanadium vacancies in the MXene plays a role in increased OER activity and hinders Fe leaching in the AEM device over using the pure V2C MXene as a support material for the CoFe ...
Can Kaplan +16 more
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Vestnik KRAUNC: Fiziko-Matematičeskie NaukiAt present, the results of the study of boundary value problems for the two-dimensional Helmholtz equation with one and two singular coefficients are known.
Arzikulov, Z.O.
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On the possibility of remote detection of conductive layers
Nonlinear Analysis, 2018 A two-dimensional medium is considered in which the fields are described by the Helmholtz equation. The linearized formulation of the problem of restoring the parameters of the medium (the inverse problem for the Helmholtz equation) is studied.
Aleksandr S. Barashkov
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Exact nonparaxial beams of the scalar Helmholtz equation [PDF]
, 2003 It is shown that three-dimensional nonparaxial beams are described by the oblate spheroidal exact solutions of the Helmholtz equation. For the first time, their beam behaviour is investigated and their corresponding parameters are defined. Using the fact
Cao +14 more
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Advanced Functional Materials, EarlyView.The versatile precursor‐assisted soft sphere close packing during slot‐die coating is investigated with in situ X‐ray scattering. The soft crystallization pathways towards a close packing involve multistep structural transitions such as surface nucleation, in‐plane, and out‐of‐plane crystallization.
Guangjiu Pan +14 more
wiley +1 more source