We prove convergenceof the Maxwell eigenvalue problem using quadratic or higher Lagrange finite elements on Worsey-Farin splits in three dimensions. To do this, we construct two Fortin-like operators to prove uniform convergence of the corresponding source problem. We present numerical experiments to illustrate the theoretical results.

Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D

Boffi, D;
2023-01-01

Abstract

We prove convergenceof the Maxwell eigenvalue problem using quadratic or higher Lagrange finite elements on Worsey-Farin splits in three dimensions. To do this, we construct two Fortin-like operators to prove uniform convergence of the corresponding source problem. We present numerical experiments to illustrate the theoretical results.
2023
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Esperti anonimi
Inglese
Internazionale
STAMPA
44
4
1911
1945
35
Maxwell; eigenvalue; Worsey-Farin
4
info:eu-repo/semantics/article
262
Boffi, D; Gong, Sn; Guzmán, J; Neilan, M
1 Contributo su Rivista::1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/1487843
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