A FETI-DP method is known as a technique for rapidly solving large-scale systems of equations, such as those arising from structural analyses discretized by the finite element method. When applying a FETI-DP method to frequency response analysis, convergence deteriorates if Lagrange multipliers are imposed only on the boundary of one subdomain. To address this, a FETI-DP method incorporating Robin-type transmission conditions with Lagrange multipliers imposed on the boundaries of two subdomains has been proposed. Furthermore, it has been reported that considering higher-order transmission conditions improves convergence when applying FETI-DP to electromagnetic wave and piezoelectric analysis. In this study, a FETI-DP method with Robin-type transmission conditions is applied to frequency response acoustic analysis, and it is demonstrated that setting higher-order transmission conditions improves convergence.
Shuta Tatsumi (Wed,) studied this question.