https://doi.org/10.26089/NumMet.v27r215

Energy Conservation Law for Yee-Type Schemes

Authors

  • Vladimir P. Zhukov
  • Michail P. Fedoruk

Keywords:

finite-difference scheme
Maxwell Equations
Yee scheme
finite-difference analog of energy conservation law
Maxwell equations with frequency dispersion
contact interface

Abstract

It is shown that in a class of the finite-difference schemes for Maxwell equations with improved dispersion properties an analog of energy conservation law holds. The existence of this law is useful in applying the schemes and provides their numerical stability. It is assumed that the equations describe a medium consisting of different materials with frequency dispersion.


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Published

2026-05-20

Issue

Vol. 27 (2026): Issue 2.

Section

Methods and algorithms of computational mathematics and their applications

Authors

Vladimir P. Zhukov

Federal Research Center for Information and Computational Technologies

• Leading Researcher

Michail P. Fedoruk

Federal Research Center for Information and Computational Technologies

• Academician of RAS, Chief Researcher

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Copyright (c) 2026 В. П. Жуков, М. П. Федорук

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This work is licensed under a Creative Commons Attribution 4.0 International License.