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On modified Green functions in exterior problems for the Helmholtz equation
Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1982Abstract The question of non-uniqueness in boundary integral equation formulations of exterior problems for the Helmholtz equation has recently been resolved with the use of additional radiating multipoles in the definition of the Green function. The present note shows how this modification may be included in a rigorous formalism and
Kleinman, R. E., Roach, G. F.
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Engineering Analysis with Boundary Elements, 1995
Abstract The higher order 3-D fundamental solutions to the Helmholtz and the modified Helmholtz equations have been derived. The Lth order fundamental solution for the 3-D Helmholtz equation has the form of a spherical Bessel function multiplied by a distance to the power L.
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Abstract The higher order 3-D fundamental solutions to the Helmholtz and the modified Helmholtz equations have been derived. The Lth order fundamental solution for the 3-D Helmholtz equation has the form of a spherical Bessel function multiplied by a distance to the power L.
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A note on the CVBEM for the two‐dimensional Helmholtz equation or its modified form
Communications in Numerical Methods in Engineering, 2002AbstractA complex variable boundary element method is outlined for the numerical solution of the two‐dimensional Helmholtz equation or its modified form in a simply connected region subject to suitable boundary conditions. It is applied to solve a specific test problem. Copyright © 2002 John Wiley & Sons, Ltd.
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An adaptive fast solver for the modified Helmholtz equation in two dimensions
Journal of Computational Physics, 2006Jingfang Huang
exaly
A novel Trefftz method of the inverse Cauchy problem for 3D modified Helmholtz equation
Inverse Problems in Science and Engineering, 2017Chein-Shan Liu, Wenzhen Qu, Wen Chen
exaly
THE MODIFIED HELMHOLTZ EQUATIONS AND THEIR BOUNDARY VALUE PROBLEMS
Acta Mathematica Scientia, 1988openaire +1 more source
Generation of higher order fundamental solutions to the two-dimensional modified Helmholtz equation
Engineering Analysis With Boundary Elements, 1993Masafumi Itagaki, CARLOS A Brebbia
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