Results 61 to 70 of about 3,283,376 (328)

Solution of the modified Helmholtz equation using mixed boundary conditions in an equilateral triangle

Partial Differential Equations in Applied Mathematics
The modified Helmholtz equation qxx+qyy−4β2q=0, is one of the basic equations of classical mathematical physics. In this paper we have obtained the solution of the boundary-value problems for the modified Helmholtz equation in an equilateral triangle. An
Pratul Gadagkar, Subhash Kendre, Pooja Paratane   +2 more
doaj   +1 more source

Propagating parabolic rotational beams, new family of accelerated beams [PDF]

EPJ Web of Conferences
A novel class of structured propagating waves with parabolic rotational symmetry is introduced for the first time. These are described by exact solutions of the non-paraxial Helmholtz equation.
Espíndola-Ramos Ernesto, Gómez-Correa Jesús Emmanuel, Hernández-Nolasco José Adán, Chávez-Cerda Sabino   +3 more
doaj   +1 more source

Application of DRBEM for 2D sine-Gordon equation

Journal of Taibah University for Science, 2021
This research paper introduces an application of dual reciprocity boundary element method (DRBEM) for the solution of sine-Gordon equation (SGE) in two-space dimension. Initially, the time derivatives are expanded using central difference schemes.
Nagehan Alsoy-Akgün
doaj   +1 more source

Solving ill-posed Helmholtz problems with physics-informed neural networks

Journal of Numerical Analysis and Approximation Theory, 2023
We consider the unique continuation (data assimilation) problem for the Helmholtz equation and study its numerical approximation based on physics-informed neural networks (PINNs).
Mihai Nechita
doaj   +1 more source

Stable determination of polyhedral interfaces from boundary data for the Helmholtz equation [PDF]

, 2014
We study an inverse boundary value problem for the Helmholtz equation using the Dirichlet-to-Neumann map as the data. We consider piecewise constant wavespeeds on an unknown tetrahedral partition and prove a Lipschitz stability estimate in terms of the ...
Beretta, Elena, de Hoop, Maarten V., Francini, Elisa, Vessella, Sergio   +3 more
core   +2 more sources

Wavefield solutions from machine learned functions constrained by the Helmholtz equation [PDF]

Artificial Intelligence in Geosciences, 2021
T. Alkhalifah, Chao Song, U. Waheed, Q. Hao   +3 more
semanticscholar   +1 more source

An Inkjet‐Printed Platinum‐Based Temperature Sensing Element on Polyimide Substrates

Advanced Engineering Materials, EarlyView.
An inkjet‐printed, meander‐structured, nanoparticle platinum‐based resistive temperature sensors on polyimide substrates are demonstrated as proof‐of‐concept. Optimized sintering at 250°C enables stable conductive structures. The Pt100‐ and Pt1000‐type sensors exhibit linear resistance–temperature characteristics with stable TCR in the 20°C–80°C range,
Shawon Alam, Thomas Kister, Alexander Scholz, Sophie Sauva, Makara Lay, Tobias Kraus, Jasmin Aghassi‐Hagmann   +6 more
wiley   +1 more source

Application of the Banach Fixed-Point Theorem to the Scattering Problem at a Nonlinear Three-Layer Structure with Absorption

Fixed Point Theory and Applications, 2010
A method based on the Banach fixed-point theorem is proposed for obtaining certain solutions (TE-polarized electromagnetic waves) of the Helmholtz equation describing the reflection and transmission of a plane monochromatic wave at a nonlinear lossy ...
V. S. Serov, H. W. Schüermann, E. Svetogorova   +2 more
doaj   +2 more sources

Automatic CHIEF Point Selection for Finite Element–Boundary Element Acoustic Backscattering

Acoustics, 2023
Computing the backscattering of harmonic acoustic waves from underwater elastic targets of arbitrary shapes is a challenging problem of considerable practical significance.
Petr Krysl, Ahmad T. Abawi
doaj   +1 more source

Synchrotron Radiation for Quantum Technology

Advanced Functional Materials, EarlyView.
Materials and interfaces underpin quantum technologies, with synchrotron and FEL methods key to understanding and optimizing them. Advances span superconducting and semiconducting qubits, 2D materials, and topological systems, where strain, defects, and interfaces govern performance.
Oliver Rader, Sakura Pascarelli, Klaus Attenkofer, Anna A. Makarova, Karsten Holldack, Kai Rossnagel, Kristiaan Temst, George Kourousias, Stefano Carretta, Caterina Biscari, Helmut Dosch   +10 more
wiley   +1 more source