University of Twente Student Theses
Least-Squares Finite Element Method for the Fluid-Structure Interaction Spectral Problem
Tretmans, C.C. (2023) Least-Squares Finite Element Method for the Fluid-Structure Interaction Spectral Problem.
|
PDF
2MB |
| Abstract: | A least-squares finite element method (LSFEM) for the fluid-structure interaction problem is derived. The fluid-structure interaction problems deals with the vibration caused by an elastic structure in contact with a fluid. The fluid-structure interaction is treated as a first-order system, after which the least-squares functional is formulated using L^2-norm residuals. Norm-equivalence of the least-squares functional is proven which ensures the favorable properties of the Rayleigh-Ritz setting. As a result, a priori error estimates are obtained for the LSFEM approximation. Furthermore, we highlight steps taken towards numerical implementation and demonstrate convergence for a simplified test case. Finally, the least-squares functional is used as an inherent a posteriori error estimate for a primal displacement/pressure formulation. |
| Item Type: | Essay (Master) |
| Faculty: | EEMCS: Electrical Engineering, Mathematics and Computer Science |
| Subject: | 31 mathematics |
| Programme: | Applied Mathematics MSc (60348) |
| Link to this item: | https://purl.utwente.nl/essays/94877 |
| Export this item as: | BibTeX EndNote HTML Citation Reference Manager |
Show download statistics for this publication
Show download statistics for this publicationRepository Staff Only: item control page