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Continuum limit of discrete Sommerfeld problems on square lattice
| Content Provider | Semantic Scholar |
|---|---|
| Author | Sharma, Basant Lal |
| Copyright Year | 2017 |
| Abstract | A low-frequency approximation of the discrete Sommerfeld diffraction problems, involving the scattering of a time harmonic lattice wave incident on square lattice by a discrete Dirichlet or a discrete Neumann half-plane, is investigated. It is established that the exact solution of the discrete model converges to the solution of the continuum model, i.e., the continuous Sommerfeld problem, in the discrete Sobolev space defined by Hackbusch. A proof of convergence has been provided for both types of boundary conditions when the imaginary part of incident wavenumber is positive. |
| Starting Page | 713 |
| Ending Page | 728 |
| Page Count | 16 |
| File Format | PDF HTM / HTML |
| DOI | 10.1007/s12046-017-0636-6 |
| Volume Number | 42 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1908.02469v1.pdf |
| Alternate Webpage(s) | https://doi.org/10.1007/s12046-017-0636-6 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
