Numerical solution of the viscoelastic wave equation by Galerkin spectral element method
In this paper, the Galerkin spectral element method (GSEM) is presented for solving the one-dimensional viscoelastic wave equation. The finite difference approximation is applied for temporal discretization, and the convergence order of the technique is demonstrated. An a priori error estimate is de...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Qom University of Technology
2025-03-01
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| Series: | Mathematics and Computational Sciences |
| Subjects: | |
| Online Access: | https://mcs.qut.ac.ir/article_721563_a6b3e50eb882b485851e8cd3e4a238b9.pdf |
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| Summary: | In this paper, the Galerkin spectral element method (GSEM) is presented for solving the one-dimensional viscoelastic wave equation. The finite difference approximation is applied for temporal discretization, and the convergence order of the technique is demonstrated. An a priori error estimate is determined for the total-discrete system. The computational efficiency of the method is confirmed through a numerical example, which shows that the method is effectively applicable. |
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| ISSN: | 2717-2708 |