Results 11 to 20 of about 23,622 (294)

On the solution of the Helmholtz equation on regions with corners [PDF]

Proceedings of the National Academy of Sciences of the United States of America, 2016
Vladimir Rokhlin, Rokhlin Vladimir
exaly   +2 more sources

Boundary Element Method for the Helmholtz Equation

Journal of Mathematical Extension, 2015
The boundary element methos is applied to the Helholtltz equation. To this end we discretized the Helmholtz equation over the boundary Ω and conclude a system of equations.
A. Mesforush, Z. Mehraban
doaj   +1 more source

A New Modified Helmholtz Equation for the Expression of the Gravity Gradient and the Intensity of an Electrostatic Field in Spherical Harmonics

Mathematics, 2023
In this work, it is shown that the geometry of a gravity field generated by a spheroid with low eccentricity can be described with the help of a newly modified Helmholtz equation.
Gerassimos Manoussakis
doaj   +1 more source

Solving the Helmholtz Equation Together with the Cauchy Boundary Conditions by a Modified Quasi-Reversibility Regularization Method

Journal of Mathematics, 2022
The Quasi-Reversibility Regularization Method (Q-RRM) provides stable approximate solution of the Cauchy problem of the Helmholtz equation in the Hilbert space by providing either additional information in the Laplace-type operator in the Helmholtz ...
Benedict Barnes, Isaac Addai, Francis Ohene Boateng, Ishmael Takyi   +3 more
doaj   +1 more source

Continuous operator method application for direct and inverse scattering problems

Журнал Средневолжского математического общества, 2021
We describe the continuous operator method for solution nonlinear operator equations and discuss its application for investigating direct and inverse scattering problems.
Boykov Ilya V., Roudnev Vladimir A., Boykova Alla I., Stepanov Nikita S.   +3 more
doaj   +1 more source

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, Sauter, Stefan A, Torres, Céline, Veit, Alexander   +3 more
openaire   +3 more sources

An analytical method for shallow spherical shell free vibration on two-parameter foundation

Heliyon, 2021
The free vibration control differential equation of shallow spherical shell on two-parameter foundation is a four order differential equation.
Jiarong Gan, Hong Yuan, Shanqing Li, Qifeng Peng, Huanliang Zhang   +4 more
doaj   +1 more source

Solution to the Modified Helmholtz Equation for Arbitrary Periodic Charge Densities

Frontiers in Physics, 2021
We present a general method for solving the modified Helmholtz equation without shape approximation for an arbitrary periodic charge distribution, whose solution is known as the Yukawa potential or the screened Coulomb potential.
Miriam Winkelmann, Miriam Winkelmann, Miriam Winkelmann, Miriam Winkelmann, Miriam Winkelmann, Edoardo Di Napoli, Edoardo Di Napoli, Edoardo Di Napoli, Daniel Wortmann, Daniel Wortmann, Daniel Wortmann, Stefan Blügel, Stefan Blügel, Stefan Blügel   +13 more
doaj   +1 more source

PENENTUAN JENIS FUNGSI BASIS RADIAL DALAM DUAL RECIPROCITY BOUNDARY ELEMENT METHOD

Majalah Ilmiah Matematika dan Statistika, 2021
Problems involving modified Helmholtz equation are considered in this paper. To solve the problem numerically, dual reciprocity boundary element method (DRBEM) is employed.
Millatuz Zahroh
doaj   +1 more source

Computational Accuracy and Efficiency of Room Acoustics Simulation Using a Frequency Domain FEM with Air Absorption: 2D Study

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
doaj   +1 more source