Higher order triangular finite elements with mass lumping for the wave equation. - Archive ouverte HAL Access content directly
Journal Articles SIAM Journal on Numerical Analysis Year : 2001

Higher order triangular finite elements with mass lumping for the wave equation.

Jean E. Roberts
  • Function : Author
Nathalie Tordjman
  • Function : Author

Abstract

In this article, we construct new higher order finite element spaces for the approximation of the two-dimensional (2D) wave equation. These elements lead to explicit methods after time discretization through the use of appropriate quadrature formulas which permit mass lumping. These formulas are constructed explicitly. Error estimates are provided for the corresponding semidiscrete problem. Finally, higher order finite difference time discretizations are proposed and various numerical results are shown.
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hal-01010373 , version 1 (19-06-2014)

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Gary Cohen, Patrick Joly, Jean E. Roberts, Nathalie Tordjman. Higher order triangular finite elements with mass lumping for the wave equation.. SIAM Journal on Numerical Analysis, 2001, 38 (6), pp.2047-2078. ⟨10.1137/S0036142997329554⟩. ⟨hal-01010373⟩
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