Results 211 to 220 of about 6,679 (246)

A Modified Fourier–Galerkin Method for the Poisson and Helmholtz Equations

Journal of Scientific Computing, 2002
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Ole F. Næss, Knut S. Eckhoff
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The modified Helmholtz equation in a semi-strip

Mathematical Proceedings of the Cambridge Philosophical Society, 2005
Summary: We study the modified Helmholtz equation in a semi-strip with Poincaré type boundary conditions. On each side of the semi-strip the boundary conditions involve two parameters and one real-valued function. Using a new transform method recently introduced in the literature we show that the above boundary-value problem is equivalent to a \(2 ...
Antipov, Y. A., Fokas, A. S.
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Analysis of the method of fundamental solutions for the modified Helmholtz equation

Applied Mathematics and Computation, 2017
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Tian, Zhaolu, Li, Zi-Cai, Huang, Hung-Tsai, Chen, Ching-Shyang   +3 more
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A regularization method for the cauchy problem of the modified Helmholtz equation

Mathematical Methods in the Applied Sciences, 2014
In the present paper, an iteration regularization method for solving the Cauchy problem of the modified Helmholtz equation is proposed. The a priori and a posteriori rule for choosing regularization parameters with corresponding error estimates between the exact solution and its approximation are also given.
Cheng, Hao, Zhu, Ping, Gao, Jie
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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
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A Fourth-Order Modified Method for the Cauchy Problem of the Modified Helmholtz Equation

Numerical Mathematics: Theory, Methods and Applications, 2009
This paper is concerned with the Cauchy problem for the modified Helmholtz equation in an infinite strip domain $0
Shi, R., Wei, T., Qin, H. H.
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A wavelet collocation method for boundary integral equations of the modified Helmholtz equation

Applied Mathematics and Computation, 2018
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Xiangling Chen, Ziqing Xie, Jianshu Luo
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A modified Galerkin FEM for 1D Helmholtz equations

Applied Acoustics, 2013
Abstract A method is presented that aims to eliminate the numerical errors inherent in the standard Galerkin finite element method (GFEM) for solving homogeneous Helmholtz equations. An error analysis of the standard GFEM with linear elements is first performed by using the concept of truncation error in finite difference methods, and then the ...
Hui Zheng, Richard C. Cai, L.S. Pan
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Singular boundary method for modified Helmholtz equations

Engineering Analysis with Boundary Elements, 2014
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Chen, Wen, Zhang, Jin-Yang, Fu, Zhuo-Jia
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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
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