Convergence analysis of a new BEM–FEM coupling method for two dimensional fluid–solid interaction problems
نویسنده
چکیده
We present a new numerical method, based on a coupling of finite elements and boundary elements, to solve a fluid–solid interaction problem posed in the plane. The boundary unknowns involved in our formulation are approximated by a spectral method. We provide error estimates for the Galerkin method, propose fully discrete schemes based on elementary quadrature formulas and show that the perturbation due to this numerical integration preserves the optimal rate of convergence. We also suggest an iterative method to solve the complicated linear systems of equations that arise from this type of approximation schemes.
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