Isogeometric analysis for time-dependent Maxwell’s equations in complex media

IF 2.1 2区数学 Q1 MATHEMATICS, APPLIED

Journal of Computational and Applied Mathematics Pub Date : 2025-02-20 DOI:10.1016/j.cam.2025.116566

Enyu Fan , Jichun Li , Yang Liu , Yangpeng Zhang

引用次数: 0

Abstract

This paper considers solving time-dependent Maxwell’s equations in a Cole-Cole dispersive medium and a Perfectly Matched Layer (PML) model by B-spline finite element method. First, we develop a reformulated Cole-Cole model by eliminating the magnetic field, then we propose two schemes to approximate the fractional time derivative in the model. The discrete stabilities of both schemes are established. Numerical results for the Cole-Cole model in complex domains are presented to demonstrate the flexibility and efficiency of the finite element method with B-spline basis functions. Finally, we also extend the B-spline method to solve a complicated PML model.

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来源期刊

Journal of Computational and Applied Mathematics 数学-应用数学

CiteScore

5.40

自引率

4.20%

发文量

437

审稿时长

3.0 months

期刊介绍： The Journal of Computational and Applied Mathematics publishes original papers of high scientific value in all areas of computational and applied mathematics. The main interest of the Journal is in papers that describe and analyze new computational techniques for solving scientific or engineering problems. Also the improved analysis, including the effectiveness and applicability, of existing methods and algorithms is of importance. The computational efficiency (e.g. the convergence, stability, accuracy, ...) should be proved and illustrated by nontrivial numerical examples. Papers describing only variants of existing methods, without adding significant new computational properties are not of interest. The audience consists of: applied mathematicians, numerical analysts, computational scientists and engineers.