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Numerische Mathematik

, Volume 67, Issue 3, pp 391–401 | Cite as

Grid modification for the wave equation with attenuation

  • Daoqi Yang

Summary.

The wave equation with attenuation due to a linear friction is approximated by a new mixed finite element method which allows one to use different grids and basis functions at different times when necessary. This method enables one to track sharp moving wave fronts more efficiently and accurately. Error estimates with optimal convergent rates are established. Unconditional stability is also proved for this method.

Mathematics Subject Classification (1991): 65M50, 65M60 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • Daoqi Yang
    • 1
  1. 1.Department of Mathematics, Purdue University, W. Lafayette, IN 47907, USA DE

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