65N30 Finite elements, Rayleigh-Ritz and Galerkin methods, finite methods
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- Fini (1)
- Helmholtz equation (1)
- Pole condition (1)
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The work presents a new approach to the numerical solution of time-harmonic and time-dependent scattering problems. We replace Sommerfeld's radiation condition valid for the Helmholtz equation by a more general concept called pole condition. The pole condition is based on the Laplace transform of the exterior solution and allows a characterization of outgoing waves. Both new insight into the analysis of scattering problems as well as new numerical algorithms are obtained.