Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements
| dc.contributor.author | Bonito, Andrea | |
| dc.contributor.author | Guermond, Jean-Luc | |
| dc.date.accessioned | 2016-02-25T12:42:54Z | |
| dc.date.available | 2016-02-25T12:42:54Z | |
| dc.date.issued | 2011 | |
| dc.identifier.citation | Bonito A, Guermond J-L (2011) Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements. Math Comp 80: 1887–1887. Available: http://dx.doi.org/10.1090/S0025-5718-2011-02464-6. | |
| dc.identifier.issn | 0025-5718 | |
| dc.identifier.issn | 1088-6842 | |
| dc.identifier.doi | 10.1090/S0025-5718-2011-02464-6 | |
| dc.identifier.uri | http://hdl.handle.net/10754/597604 | |
| dc.description.abstract | We propose and analyze an approximation technique for the Maxwell eigenvalue problem using H1-conforming finite elements. The key idea consists of considering a mixed method controlling the divergence of the electric field in a fractional Sobolev space H-α with α ∈ (1/2, 1). The method is shown to be convergent and spectrally correct. © 2011 American Mathematical Society. | |
| dc.description.sponsorship | The first author was partially supported by the NSF grant DMS-0914977.The second author was partially supported by Award No. KUS-C1-016-04, made by King Abdullah University of Science and Technology (KAUST).The third author was partially supported by the NSF grant DMS-07138229. | |
| dc.publisher | American Mathematical Society (AMS) | |
| dc.title | Approximation of the eigenvalue problem for the time harmonic Maxwell system by continuous Lagrange finite elements | |
| dc.type | Article | |
| dc.identifier.journal | Mathematics of Computation | |
| dc.contributor.institution | Texas A and M University, College Station, United States | |
| kaust.grant.number | KUS-C1-016-04 |