On the influence of far-field model reduction techniques using a coupled FEM-SBFEM approach in time domain
To analyse soil-structure-interaction problems, often unbounded domain has to be taken into account. Since the finite element method (FEM) does not provide open boundary itself the scaled boundary finite element method (SBFEM) which fulfils the radiation condition for wave propagation to infinity is...
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| Format: | Article |
| Language: | English |
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Mahmut Akyigit
2018-09-01
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| Series: | Journal of Mathematical Sciences and Modelling |
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| Online Access: | https://dergipark.org.tr/tr/download/article-file/546131 |
| _version_ | 1797350573978157056 |
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| author | Marco Schauer |
| author_facet | Marco Schauer |
| author_sort | Marco Schauer |
| collection | DOAJ |
| description | To analyse soil-structure-interaction problems, often unbounded domain has to be taken into account. Since the finite element method (FEM) does not provide open boundary itself the scaled boundary finite element method (SBFEM) which fulfils the radiation condition for wave propagation to infinity is used. The coupling of FEM and SBFEM in time domain is very time and memory consuming, due to the almost fully populated acceleration unit-impulse matrices and the convolution integral, which has to be solved at every time step. This paper studies ways to overcome this drawback and describes the influence of different model reduction techniques: like extrapolated acceleration unit-impulse response matrices, geometric far-field decoupling and sub-structured far-fields which can be applied to the far-field and also their combination. The different techniques for a FEM-SBFEM coupling in time domain are evaluated in terms of accuracy and computational effort. |
| first_indexed | 2024-03-08T12:46:55Z |
| format | Article |
| id | doaj.art-f3a4b8c3ca894015afa1c53de6cbf633 |
| institution | Directory Open Access Journal |
| issn | 2636-8692 |
| language | English |
| last_indexed | 2024-03-08T12:46:55Z |
| publishDate | 2018-09-01 |
| publisher | Mahmut Akyigit |
| record_format | Article |
| series | Journal of Mathematical Sciences and Modelling |
| spelling | doaj.art-f3a4b8c3ca894015afa1c53de6cbf6332024-01-21T07:31:05ZengMahmut AkyigitJournal of Mathematical Sciences and Modelling2636-86922018-09-01129310410.33187/jmsm.4351461408On the influence of far-field model reduction techniques using a coupled FEM-SBFEM approach in time domainMarco SchauerTo analyse soil-structure-interaction problems, often unbounded domain has to be taken into account. Since the finite element method (FEM) does not provide open boundary itself the scaled boundary finite element method (SBFEM) which fulfils the radiation condition for wave propagation to infinity is used. The coupling of FEM and SBFEM in time domain is very time and memory consuming, due to the almost fully populated acceleration unit-impulse matrices and the convolution integral, which has to be solved at every time step. This paper studies ways to overcome this drawback and describes the influence of different model reduction techniques: like extrapolated acceleration unit-impulse response matrices, geometric far-field decoupling and sub-structured far-fields which can be applied to the far-field and also their combination. The different techniques for a FEM-SBFEM coupling in time domain are evaluated in terms of accuracy and computational effort.https://dergipark.org.tr/tr/download/article-file/546131finite element methodgeometrical decouplingmodel reductionscaled boundary finite element methodsoil-structure interactionsub-structuringunbounded domain |
| spellingShingle | Marco Schauer On the influence of far-field model reduction techniques using a coupled FEM-SBFEM approach in time domain Journal of Mathematical Sciences and Modelling finite element method geometrical decoupling model reduction scaled boundary finite element method soil-structure interaction sub-structuring unbounded domain |
| title | On the influence of far-field model reduction techniques using a coupled FEM-SBFEM approach in time domain |
| title_full | On the influence of far-field model reduction techniques using a coupled FEM-SBFEM approach in time domain |
| title_fullStr | On the influence of far-field model reduction techniques using a coupled FEM-SBFEM approach in time domain |
| title_full_unstemmed | On the influence of far-field model reduction techniques using a coupled FEM-SBFEM approach in time domain |
| title_short | On the influence of far-field model reduction techniques using a coupled FEM-SBFEM approach in time domain |
| title_sort | on the influence of far field model reduction techniques using a coupled fem sbfem approach in time domain |
| topic | finite element method geometrical decoupling model reduction scaled boundary finite element method soil-structure interaction sub-structuring unbounded domain |
| url | https://dergipark.org.tr/tr/download/article-file/546131 |
| work_keys_str_mv | AT marcoschauer ontheinfluenceoffarfieldmodelreductiontechniquesusingacoupledfemsbfemapproachintimedomain |