Efficient hp Error Analysis of a Hybridizable Discontinuous Galerkin Method for Linear Fluid-Structure Interaction

This paper presents a velocity-stress based variational formulation for linear fluid-structure interaction (FSI) problems and analyzes the convergence properties of a hybridizable discontinuous Galerkin (HDG) discretization method. The proposed HDG scheme utilizes symmetric tensors with piecewise polynomial entries of arbitrary degree to approximate the stress components in both 2D and 3D. The stability and quasi-optimal hp error estimates for the semi-discrete and fully discrete schemes are established.