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A Nitsche method for wave propagation problems in time domain

Publication ,  Journal Article
Song, T; Scovazzi, G
Published in: Computer Methods in Applied Mechanics and Engineering
August 5, 2015

We propose a new Nitsche-type approach for the weak enforcement of Dirichlet and Neumann boundary conditions in the context of time-domain wave propagation problems in mixed form. A peculiar feature of the proposed method is that, due to the hyperbolic structure of the problem considered, two penalty parameters are introduced, corresponding to Dirichlet and Neumann conditions, respectively. A stability and convergence estimate is also provided, in the case of a discontinuous-in-time Galerkin space-time integrator. The spatial discretization used is based on a stabilized method with equal order interpolation for all solution components. In principle, however, the proposed methodology is not confined to stabilized methods. We conclude with an extensive set of tests to validate the robustness and accuracy of the proposed approach.

Duke Scholars

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

August 5, 2015

Volume

293

Start / End Page

481 / 521

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Song, T., & Scovazzi, G. (2015). A Nitsche method for wave propagation problems in time domain. Computer Methods in Applied Mechanics and Engineering, 293, 481–521. https://doi.org/10.1016/j.cma.2015.05.001
Song, T., and G. Scovazzi. “A Nitsche method for wave propagation problems in time domain.” Computer Methods in Applied Mechanics and Engineering 293 (August 5, 2015): 481–521. https://doi.org/10.1016/j.cma.2015.05.001.
Song T, Scovazzi G. A Nitsche method for wave propagation problems in time domain. Computer Methods in Applied Mechanics and Engineering. 2015 Aug 5;293:481–521.
Song, T., and G. Scovazzi. “A Nitsche method for wave propagation problems in time domain.” Computer Methods in Applied Mechanics and Engineering, vol. 293, Aug. 2015, pp. 481–521. Scopus, doi:10.1016/j.cma.2015.05.001.
Song T, Scovazzi G. A Nitsche method for wave propagation problems in time domain. Computer Methods in Applied Mechanics and Engineering. 2015 Aug 5;293:481–521.
Journal cover image

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

August 5, 2015

Volume

293

Start / End Page

481 / 521

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences