Convergence of Lagrange finite element methods for Maxwell eigenvalue problem in 3D-Reference-Cited by-同舟云学术

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

Published:2023-10-13 Issue: Volume: Page:
ISSN:0272-4979
Container-title:IMA Journal of Numerical Analysis
language:en
Short-container-title:

Author:

Boffi Daniele¹,Gong Sining²,Guzmán Johnny²,Neilan Michael³

Affiliation:

1. Computer , Electrical and Mathematical Sciences and Engineering Division, King Abdullah University of Science and Technology, Thuwal 23955, Saudi Arabia and University of Pavia, Pavia 27100, Italy

2. Division of Applied Mathematics , Brown University, Providence, RI 02912, USA

3. Department of Mathematics , University of Pittsburgh, Pittsburgh, PA 15260, USA

Abstract

Abstract 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.

Publisher

Oxford University Press (OUP)

Subject

Applied Mathematics,Computational Mathematics,General Mathematics

Link

https://academic.oup.com/imajna/advance-article-pdf/doi/10.1093/imanum/drad053/52109277/drad053.pdf

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