On some time marching schemes for the stabilized finite element approximation of the mixed wave equation
In this paper we analyze time marching schemes for the wave equation in mixed form. The problem is discretized in space using stabilized finite elements. On the one hand, stability and convergence analyses of the fully discrete numerical schemes are presented using different time integration schemes...
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| Định dạng: | article |
| Ngôn ngữ: | eng |
| Được phát hành: |
2015
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| Những chủ đề: | |
| Truy cập trực tuyến: | http://www.dspace.espol.edu.ec/xmlui/handle/123456789/29650 |
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Thêm thẻ | Tóm tắt: | In this paper we analyze time marching schemes for the wave equation in mixed form. The problem is discretized in space using stabilized finite elements. On the one hand, stability and convergence analyses of the fully discrete numerical schemes are presented using different time integration schemes and appropriate functional settings. On the other hand, we use Fourier techniques (also known as von Neumann analysis) in order to analyze stability, dispersion and dissipation. Numerical convergence tests are presented for various time integration schemes, polynomial interpolations (for the spatial discretization), stabilization methods, and variational forms. To analyze the behavior of the different schemes considered, a 1D wave propagation problem is solved. |
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