Skip to main content

Recent Advances in Time-Domain Maxwell’s Equations in Metamaterials

  • Conference paper
High Performance Computing and Applications

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5938))

  • 2330 Accesses

Abstract

In this paper, we present three second-order finite element methods solving Maxwell’s equations when metamaterials are involved. The first method is based on integral-differential equations transformed from the governing equations; the other two methods solve the original governing differential equations. Numerical results are presented for the last two methods.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Li, J.: Numerical convergence and physical fidelity analysis for Maxwell’s equations in metamaterials. Comput. Methods Appl. Mech. Engrg. 198, 3161–3172 (2009)

    Article  MATH  MathSciNet  Google Scholar 

  2. Li, J., Chen, Y.: Analysis of a time-domain finite element method for 3-D Maxwell’s equations in dispersive media. Comput. Methods Appl. Mech. Engrg. 195, 4220–4229 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  3. Li, J., Chen, Y., Elander, V.: Mathematical and numerical study of wave propagation in negative-index materials. Comput. Methods Appl. Mech. Engrg. 197, 3976–3987 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  4. Li, J., Wood, A.: Finite element analysis for wave propagation in double negative metamaterials. J. Sci. Comput. 32, 263–286 (2007)

    Article  MATH  MathSciNet  Google Scholar 

  5. Monk, P.: Finite Element Methods for Maxwell’s Equations. Oxford University Press, Oxford (2003)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Huang, Y., Li, J. (2010). Recent Advances in Time-Domain Maxwell’s Equations in Metamaterials. In: Zhang, W., Chen, Z., Douglas, C.C., Tong, W. (eds) High Performance Computing and Applications. Lecture Notes in Computer Science, vol 5938. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11842-5_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-11842-5_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11841-8

  • Online ISBN: 978-3-642-11842-5

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics