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

Autor: Boffi, Daniele, Gong, Sining, Guzmán, Johnny, Neilan, Michael
Předmět:
Zdroj: IMA Journal of Numerical Analysis; Jul2024, Vol. 44 Issue 4, p1911-1945, 35p
Abstrakt: We prove convergence of 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index