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Volume 16, Issue 1
A Numerical Method for Solving the Variable Coefficient Wave Equation with Interface Jump Conditions

Liqun Wang, Songming Hou, Liwei Shi & Ping Zhang

Int. J. Numer. Anal. Mod., 16 (2019), pp. 1-17.

Published online: 2018-10

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  • Abstract

Wave equations with interface jump conditions have wide applications in engineering and science, for example in acoustics, elastodynamics, seismology, and electromagnetics. In this paper, an efficient non-traditional finite element method with non-body-fitted grids is proposed to solve variable coefficient wave equations with interface jump conditions. Numerical experiments show that this method is approximately second order accurate both in the $L^∞$ norm and $L^2$ norm for piecewise smooth solutions.

  • Keywords

Non-traditional finite element method, wave equation, jump condition, variable coefficient.

  • AMS Subject Headings

65N30

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

wliqunhmily@gmail.com (Liqun Wang)

shou@latech.edu (Songming Hou)

sliweihmily@gmail.com (Liwei Shi)

zhangpingby@126.com (Ping Zhang)

  • BibTex
  • RIS
  • TXT
@Article{IJNAM-16-1, author = {Wang , LiqunHou , SongmingShi , Liwei and Zhang , Ping}, title = {A Numerical Method for Solving the Variable Coefficient Wave Equation with Interface Jump Conditions}, journal = {International Journal of Numerical Analysis and Modeling}, year = {2018}, volume = {16}, number = {1}, pages = {1--17}, abstract = {

Wave equations with interface jump conditions have wide applications in engineering and science, for example in acoustics, elastodynamics, seismology, and electromagnetics. In this paper, an efficient non-traditional finite element method with non-body-fitted grids is proposed to solve variable coefficient wave equations with interface jump conditions. Numerical experiments show that this method is approximately second order accurate both in the $L^∞$ norm and $L^2$ norm for piecewise smooth solutions.

}, issn = {2617-8710}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/ijnam/12791.html} }
TY - JOUR T1 - A Numerical Method for Solving the Variable Coefficient Wave Equation with Interface Jump Conditions AU - Wang , Liqun AU - Hou , Songming AU - Shi , Liwei AU - Zhang , Ping JO - International Journal of Numerical Analysis and Modeling VL - 1 SP - 1 EP - 17 PY - 2018 DA - 2018/10 SN - 16 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnam/12791.html KW - Non-traditional finite element method, wave equation, jump condition, variable coefficient. AB -

Wave equations with interface jump conditions have wide applications in engineering and science, for example in acoustics, elastodynamics, seismology, and electromagnetics. In this paper, an efficient non-traditional finite element method with non-body-fitted grids is proposed to solve variable coefficient wave equations with interface jump conditions. Numerical experiments show that this method is approximately second order accurate both in the $L^∞$ norm and $L^2$ norm for piecewise smooth solutions.

Liqun Wang, Songming Hou, Liwei Shi & Ping Zhang. (2020). A Numerical Method for Solving the Variable Coefficient Wave Equation with Interface Jump Conditions. International Journal of Numerical Analysis and Modeling. 16 (1). 1-17. doi:
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