Least-Squares Methods for the Solution of Fluid-Structure Interaction Problems

摘要: Different numerical methods have been proposed for the solution of partial differential equations (PDE). Most them are based on a variational principle which recasts PDE into an equivalent integral equation. One most common principles is Galerkin method, has some specific disadvantages types PDE. In this work alternative principle, least squares finite element will be tested with respect to its application transient fluid-structure interaction problems. The accurracy different formulations were Navier-Stokes in literature tested. next step these coupled standard approach structure. After that new formulation linear elastodynamics developed and analysed stability accuracy. With it possible do develop pure strongly problem. Finally their accuracy efficiency.