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- W2134983721 abstract "The quality of discrete solutions of the reduced wave equation depends on the relation between the physical parameters (frequency, material constants) and the numerical parameters (stepsize, order of polynomial approximation). For a one-dimensional model of fluid-solid interaction, we analyze continuous and discrete stability (inf-sup-condition) state an asymptotic error estimate for a Galerkin FEM (h-p-method). We then proceed to the discussion of preasymptotic error behavior. We show that the finite element error is generally polluted and investigate the dependence of the pollution term on the wavenumber k and on the material properties of different acoustic media in the coupled problem. In the numerical evaluation, we focus on the sensitivity of the FEM-solution to the material constants in the coupled problem. We conclude that, while there are no strictly ’forbidden frequencies’ for the FE-FE-coupling approach, the numerical solution is generally ill-conditioned if the wavenumber is close to eigenvalues of the ’interior’ problem." @default.
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- W2134983721 date "1995-01-01" @default.
- W2134983721 modified "2023-09-26" @default.
- W2134983721 title "Error Estimates of Galerkin FEM for a System of Coupled Helmholtz Equations in One Dimension" @default.
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- W2134983721 doi "https://doi.org/10.1007/978-3-322-86859-6_9" @default.
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