S. Amini and S. M. Kirkup. Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods. J. Comput. Phys., 118:208--221, 1995. Home/Search Document Not in Database Summary Related Articles Check |
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Computation of Discrete Transparent Boundary Conditions for the.. - Schmidt (2001) (1 citation) (Correct)
.... r u Gamma in 0 k 0 u = o(r ) Then there are the nonlocal Dirichlet to Neumann boundary conditions for separable coordinate systems [4] and [5] the family of corresponding local and asymptotic approximations [6] infinite element methods [7] and the various kinds of boundary element methods [8]. However, if the exterior domain becomes inhomogeneous, e.g. by an embedded waveguide (Fig. 1) these methods do not longer work. For such cases Goldstein [9] offers a solution by constructing transparent boundary conditions valid on a part of the whole boundary. This part of the boundary ....
S. Amini and S. M. Kirkup. Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods. J. Comput. Phys., 118:208--221, 1995.
Transparent Boundary Conditions for a Wide-Angle.. - Friese, Schmidt, Yevick (1999) (Correct)
....investigation has a dominant scattering aspect, e.g. the scattering of a beam from an arbitrary shaped particle, the full Helmholtz equation must generally be solved as a boundary value problem on an unbounded domain. This requires scattering theory approaches such as boundary element methods [1], in nite element methods [6] or methods for solving the interior problem subject to Dirichlet to Neumann radiation boundary conditions [10] However if a dominant wave guiding mechanism is present, the Helmholtz equation is typically approximated by either the paraxial wave equation or by ....
S. Amini and S. M. Kirkup. Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods. J. Comp. Phys., 118:208-221, 1995.
An Alternative Derivation of the Exact DtN-Map on a Circle - Schmidt (1998) (Correct)
....class is applicable, if a fundamental solution is available, which satisfies Sommerfeld s radiation condition. Extensive literature on this subject exists [15] especially concerning the case of the potential non uniqueness if the standard Helmholtz integral representation formulas are used, see [1] and the literature cited therein. The second class uses a discretization of the exterior domain with shape functions obtained from an asymptotic expansion in radial direction of the exterior solution, see [3] Again, a representation of the exterior solution must be available. The third class ....
S. Amini and S. M. Kirkup. Solution of Helmholtz equation in the exterior domain by elementary boundary integral methods. J. Comput. Phys., 118:208--221, 1995.
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