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https://doi.org/10.1142/S0218202501001161
| Title: | On the inf-sup condition of mixed finite element formulations for acoustic fluids | Authors: | Bao, W. Wang, X. Bathe, K.-J. |
Issue Date: | Jul-2001 | Citation: | Bao, W., Wang, X., Bathe, K.-J. (2001-07). On the inf-sup condition of mixed finite element formulations for acoustic fluids. Mathematical Models and Methods in Applied Sciences 11 (5) : 883-901. ScholarBank@NUS Repository. https://doi.org/10.1142/S0218202501001161 | Abstract: | The objective of this paper is to present a study of the solvability, stability and optimal error bounds of certain mixed finite element formulations for acoustic fluids. An analytical proof of the stability and optimal error bounds of a set of three-field mixed finite element discretizations is given, and the interrelationship between the inf-sup condition, including the numerical inf-sup test, and the eigenvalue problem pertaining to the natural frequencies is discussed. | Source Title: | Mathematical Models and Methods in Applied Sciences | URI: | http://scholarbank.nus.edu.sg/handle/10635/104834 | ISSN: | 02182025 | DOI: | 10.1142/S0218202501001161 |
| Appears in Collections: | Staff Publications |
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