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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| Format: | Article |
| Language: | English |
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Qom University of Technology
2025-03-01
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| Series: | Mathematics and Computational Sciences |
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| Online Access: | https://mcs.qut.ac.ir/article_721563_a6b3e50eb882b485851e8cd3e4a238b9.pdf |
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| author | Jalil Rashidinia Feze Barzegar |
| author_facet | Jalil Rashidinia Feze Barzegar |
| author_sort | Jalil Rashidinia |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-cb1cf2ebe65c4b30bde1fc1197cc44a3 |
| institution | Kabale University |
| issn | 2717-2708 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Qom University of Technology |
| record_format | Article |
| series | Mathematics and Computational Sciences |
| spelling | doaj-art-cb1cf2ebe65c4b30bde1fc1197cc44a32025-08-20T03:42:25ZengQom University of TechnologyMathematics and Computational Sciences2717-27082025-03-0161304310.30511/mcs.2025.2051683.1299721563Numerical solution of the viscoelastic wave equation by Galerkin spectral element methodJalil Rashidinia0Feze Barzegar1Iran University of Science and TechnologySchool of Mathematics and Computer Science, Iran University of Science and Technology.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.https://mcs.qut.ac.ir/article_721563_a6b3e50eb882b485851e8cd3e4a238b9.pdfviscoelastic wave equationsgalerkin spectral element methoderror estimate |
| spellingShingle | Jalil Rashidinia Feze Barzegar Numerical solution of the viscoelastic wave equation by Galerkin spectral element method Mathematics and Computational Sciences viscoelastic wave equations galerkin spectral element method error estimate |
| title | Numerical solution of the viscoelastic wave equation by Galerkin spectral element method |
| title_full | Numerical solution of the viscoelastic wave equation by Galerkin spectral element method |
| title_fullStr | Numerical solution of the viscoelastic wave equation by Galerkin spectral element method |
| title_full_unstemmed | Numerical solution of the viscoelastic wave equation by Galerkin spectral element method |
| title_short | Numerical solution of the viscoelastic wave equation by Galerkin spectral element method |
| title_sort | numerical solution of the viscoelastic wave equation by galerkin spectral element method |
| topic | viscoelastic wave equations galerkin spectral element method error estimate |
| url | https://mcs.qut.ac.ir/article_721563_a6b3e50eb882b485851e8cd3e4a238b9.pdf |
| work_keys_str_mv | AT jalilrashidinia numericalsolutionoftheviscoelasticwaveequationbygalerkinspectralelementmethod AT fezebarzegar numericalsolutionoftheviscoelasticwaveequationbygalerkinspectralelementmethod |