Results 241 to 250 of about 63,372 (284)

A Modified Helmholtz Equation With Impedance Boundary Conditions

Advances in Applied Mathematics and Mechanics, 2012
AbstractHere 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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Modified variational iteration method for solving Helmholtz equations

Computational Mathematics and Modeling, 2009
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Noor, M. A., Mohyud-Din, S. T.
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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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A Modified Method for a Cauchy Problem of the Helmholtz Equation

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Qin, Haihua, Lu, Jingmei
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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.
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A Modified Fourier–Galerkin Method for the Poisson and Helmholtz Equations

Journal of Scientific Computing, 2002
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Næss, Ole F., Eckhoff, Knut S.
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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
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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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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
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Meshless thin plate spline methods for the modified Helmholtz equation

Computer Methods in Applied Mechanics and Engineering, 2008
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Bouhamidi, A., Jbilou, K.
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