Results 251 to 260 of about 6,984 (280)

High Accuracy Solutions of the Modified Helmholtz Equation

2016
We study the numerical solutions for modified Helmholz equation. Based on the potential theory, the problem can be converted into a boundary integral equation. Mechanical quadrature method (MQM) is presented for solving the equation, which possesses high accuracy order \(O(h_{max}^3)\) and low computing complexities.
Hu Li, Jin Huang 0011
openaire   +1 more source

Singular boundary method for modified Helmholtz equations

Engineering Analysis with Boundary Elements, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Wen, Zhang, Jin-Yang, Fu, Zhuo-Jia
openaire   +2 more sources

A Modified Helmholtz Equation with Impedance Boundary Conditions

Advances in Applied Mathematics and Mechanics, 2012
Here considered is the problem of transient electromagnetic scattering from overfilled cavities embedded in an impedance ground plane. An artificial boundary condition is introduced on a semicircle enclosing the cavity that couples the fields from the infinite exterior domain to those fields inside.
Robert S. Callihan, Aihua W. Wood
openaire   +1 more source

Modified equations of the first kind for the Helmholtz equation

Mathematical Methods in the Applied Sciences, 2014
Integral equations of the first kind for exterior problems arising in the study of the three‐dimensional Helmholtz equation are considered. These equations are derived by seeking solutions in the form of layer potentials with modified fundamental solutions.
openaire   +2 more sources

The modified jump problem for the Helmholtz equation

ANNALI DELL UNIVERSITA DI FERRARA, 2001
Let \(\Gamma\) be a set of a finite number of simple open curves in the plane. (A non-closed smooth arc of finite length without self-intersections is called simple open curve). \(\Gamma\) is considered as a set of cuts. The author considers the Helmholtz equation \(\Delta u+k^2u=0\) \((k=\text{const}\neq 0\), \(0\leq\arg ...
openaire   +2 more sources

Adaptive Runge–Kutta regularization for a Cauchy problem of a modified Helmholtz equation

Journal of Inverse and Ill-posed Problems, 2023
Abstract In this paper, we investigate the Cauchy problem for the modified Helmholtz equation. We consider the data completion problem in a bounded cylindrical domain on which the Neumann and the Dirichlet conditions are given in a part of the boundary. Since this problem is ill-posed, we reformulate it as an optimal control problem with
Jday, Fadhel, Omri, Haithem
openaire   +1 more source

The numerical solution of the exterior dirichlet problem for Helmholtz's equation via modified green's functions approach

Computers and Mathematics With Applications, 2002
In the 1970s, a modified Green's function approach for solving the Helmholtz equation was proposed by Jones and Ursell, and in the 1980s was clarified by Kleinman, Roach and Kress.
Lin, Tzu Chu, Warnapala-Yehiya, Y., Lin, Tzu-Chu   +2 more
exaly   +2 more sources

Meshless method with ridge basis functions for modified Helmholtz equations

2010 Sixth International Conference on Natural Computation, 2010
A meshless method for modified Helmholtz equations has been developed by utilizing the collocation method and the ridge basis function interpolation. This method is a truly meshless technique without mesh discretization: it neither needs the computation of integrals, nor requires a partition of the region and its boundary.
Xinqiang Qin, Zhigang Wang, Baoshan Miao, Faning Dang   +3 more
openaire   +1 more source

Modified variational iteration method for solving Helmholtz equations

Computational Mathematics and Modeling, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Noor, M. A., Mohyud-Din, S. T.
openaire   +1 more source

Reconstruction algorithms of an inverse geometric problem for the modified Helmholtz equation

Computational and Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source