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An $hp$ Error Analysis of HDG for Linear Fluid-Structure Interaction
- Publication Year :
- 2024
-
Abstract
- A variational formulation based on velocity and stress is developed for linear fluid-structure interaction (FSI) problems. The well-posedness and energy stability of this formulation are established. To discretize the problem, a hybridizable discontinuous Galerkin method is employed. An $hp$-convergence analysis is performed for the resulting semi-discrete scheme. The temporal discretization is achieved via the Crank-Nicolson method, and the convergence properties of the fully discrete scheme are examined. Numerical experiments validate the theoretical results, confirming the effectiveness and accuracy of the proposed method.
- Subjects :
- Mathematics - Numerical Analysis
65N30, 65N12, 76S05, 76D07
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2404.13578
- Document Type :
- Working Paper