Multi-domain spectral approach with Sommerfeld condition for the Maxwell equations
| Autor: | Christian Klein, Nikola Stoilov |
|---|---|
| Přispěvatelé: | Institut de Mathématiques de Bourgogne [Dijon] (IMB), Centre National de la Recherche Scientifique (CNRS)-Université de Franche-Comté (UFC), Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université Bourgogne Franche-Comté [COMUE] (UBFC)-Université de Bourgogne (UB), French National Research Agency (ANR)ANR-17-CE40-0035isite BFC project NAANoDANR-15-IDEX-0003EIPHI Graduate SchoolANR-17-EURE-0002European Union Horizon 2020 research and innovation program under the Marie Sklodowska-Curie RISE 2017 grant778010EITAG project - FEDER de BourgogneRegion Bourgogne-Franche-ComteEUR EIPHIANR-17-EURE-0002, ANR-17-EURE-0002,EIPHI,Ingénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité(2017), ANR-17-CE40-0035,ANuI,Approches analytiques, numériques et des systèmes intégrables pour les équations aux dérivées partielles dispersives nonlinéaires(2017), ANR-15-IDEX-0003,BFC,ISITE ' BFC(2015) |
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics and Astronomy (miscellaneous)
Helmholtz equation Rotational symmetry Maxwell equationsHelmholtz equationsSommerfeld conditionMulti domain spectral methodsSpheroidal coordinates 010103 numerical & computational mathematics Sommerfeld radiation condition 01 natural sciences Domain (mathematical analysis) 010305 fluids & plasmas symbols.namesake 0103 physical sciences FOS: Mathematics [INFO]Computer Science [cs] Mathematics - Numerical Analysis 0101 mathematics [MATH]Mathematics [math] Physics [PHYS]Physics [physics] Numerical Analysis Applied Mathematics Mathematical analysis Numerical Analysis (math.NA) Prolate spheroidal coordinates Computer Science Applications Computational Mathematics Dipole Maxwell's equations Modeling and Simulation symbols Monochromatic color |
| Zdroj: | Journal of Computational Physics Journal of Computational Physics, Elsevier, 2021, 434, pp.110149. ⟨10.1016/j.jcp.2021.110149⟩ |
| ISSN: | 0021-9991 1090-2716 |
| DOI: | 10.1016/j.jcp.2021.110149⟩ |
| Popis: | We present a multidomain spectral approach with an exterior compactified domain for the Maxwell equations for monochromatic fields. The Sommerfeld radiation condition is imposed exactly at infinity being a finite point on the numerical grid. As an example, axisymmetric situations in spherical and prolate spheroidal coordinates are discussed. Comment: Examples added |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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