| Autor: |
Davide Consoli, Clement Henry, Alexandre Dely, Lyes Rahmouni, John Erik Ortiz Guzman, Tiffany L. Chhim, Simon B. Adrian, Adrien Merlini, Francesco P. Andriulli |
| Jazyk: |
angličtina |
| Rok vydání: |
2022 |
| Předmět: |
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| Popis: |
This work presents a fast direct solver strategy for electromagnetic integral equations in the high-frequency regime. The new scheme relies on a suitably preconditioned combined field formulation and results in a single skeleton form plus identity equation. This is obtained after a regularization of the elliptic spectrum through the extraction of a suitably chosen equivalent circulant problem. The inverse of the system matrix is then obtained by leveraging the Woodbury matrix identity, the low-rank representation of the extracted part of the operator, and fast circulant algebra yielding a scheme with a favorable complexity and suitable for the solution of multiple right-hand sides. Theoretical considerations are accompanied by numerical results both of which are confirming and showing the practical relevance of the newly developed scheme. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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