期刊
SIAM JOURNAL ON NUMERICAL ANALYSIS
卷 38, 期 6, 页码 2047-2078出版社
SIAM PUBLICATIONS
DOI: 10.1137/S0036142997329554
关键词
finite elements; mass lumping; wave equation
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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