Exact non-reflecting boundary conditions
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
On nonreflecting boundary conditions
Journal of Computational Physics
A domain decomposition method for the Helmholtz equation and related optimal control problems
Journal of Computational Physics
Dirichlet-to-Neumann maps for unbounded wave guides
Journal of Computational Physics
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Absorbing PML boundary layers for wave-like equations
Applied Numerical Mathematics - Special issue on absorbing boundary conditions
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Nonreflecting boundary condition for time-dependent multiple scattering
Journal of Computational Physics
Journal of Computational Physics
Journal of Computational and Applied Mathematics
A comparison of NRBCs for PUFEM in 2D Helmholtz problems at high wave numbers
Journal of Computational and Applied Mathematics
Journal of Computational Physics
Journal of Computational Physics
Local nonreflecting boundary condition for time-dependent multiple scattering
Journal of Computational Physics
Journal of Computational Physics
A two-dimensional Helmhotlz equation solution for the multiple cavity scattering problem
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.49 |
A Dirichlet-to-Neumann (DtN) condition is derived for the numerical solution of time-harmonic multiple scattering problems, where the scatterer consists of several disjoint components. It is obtained by combining contributions from multiple purely outgoing wave fields. The DtN condition yields an exact non-reflecting boundary condition for the situation, where the computational domain and its exterior artificial boundary consist of several disjoint components. Because each sub-scatterer can be enclosed by a separate artificial boundary, the computational effort is greatly reduced and becomes independent of the relative distances between the different sub-domains. The DtN condition naturally fits into a variational formulation of the boundary-value problem for use with the finite element method. Moreover, it immediately yields as a by-product an exact formula for the far-field pattern of the scattered field. Numerical examples show that the DtN condition for multiple scattering is as accurate as the well-known DtN condition for single scattering problems [J. Comput. Phys. 82 (1989) 172; Numerical Methods for Problems in Infinite Domains, Elsevier, Amsterdam, 1992], while being more efficient due to the reduced size of the computational domain.