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A continuous wavelet-Galerkin method for the linear wave equation
Linköping University, Department of Science and Technology. Linköping University, The Institute of Technology.
Linköping University, Department of Science and Technology, Digital Media. Linköping University, The Institute of Technology. (Sound and Video Technology)
2007 (English)In: SIAM Journal on Scientific Computing, ISSN 1064-8275, E-ISSN 1095-7197Article in journal (Other academic) Submitted
Abstract [en]

We consider the continuous space-time Galerkin method for the linear second-order wave equation proposed by French and Peterson in 1996. A bottleneck for this approach is how to solve the discrete problems effectively. In this paper, we tackle this bottleneck by essentially employing wavelet bases in space. We show how to decouple the corresponding linear system and we prove that the resulting subsystems can be uniformly preconditioned by simple diagonal preconditioners, leading to efficient iterative solutions.

Place, publisher, year, edition, pages
2007.
Keyword [en]
wave equation, continuous Galerkin, finite element, wavelet, preconditioning
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-9850OAI: oai:DiVA.org:liu-9850DiVA: diva2:24195
Available from: 2007-09-28 Created: 2007-09-28 Last updated: 2017-12-13

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Nguyen, HoangEvangelista, Gianpaolo

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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
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