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A modal synthesis method to solve the elastoacoustic vibration problem is analyzed. A two-dimensional coupled fluid-solid system is considered; the solid is described by displacement variables, whereas displacement potential is used for the fluid. A particular modal synthesis leading to a symmetric eigenvalue problem is introduced. Finite element discretizations with lagrangian elements are considered for solving the uncoupled problems. Convergence for eigenvalues and eigenfunctions is proved, error...
A modal synthesis method to solve the elastoacoustic vibration problem
is analyzed. A two-dimensional coupled fluid-solid system is considered;
the solid is described by displacement variables, whereas displacement
potential is used for the fluid. A particular modal synthesis leading to
a symmetric eigenvalue problem is introduced. Finite element discretizations
with Lagrangian elements are considered for solving the uncoupled problems.
Convergence for eigenvalues and eigenfunctions is proved,...
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