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- W4320736088 abstract "<abstract><p>The mixed finite element method can reduce the requirement for the smoothness of the finite element space and simplify the interpolation space for finite elements, and hence is especially effective in solving high order differential equations. In this work, we establish a mixed finite element scheme for the initial boundary conditions of damped plate vibrations and prove the existence and uniqueness of the solution of the semi-discrete and backward Euler fully discrete schemes. We use linear element approximation for the introduced intermediate variables, conduct the error analysis, and obtain the optimal order error estimate. We verify the efficiency and the accuracy of the mixed finite element scheme via numerical case studies and quantify the influence of the damping coefficient on the frequency and amplitude of the vibration.</p></abstract>" @default.
- W4320736088 created "2023-02-15" @default.
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- W4320736088 date "2023-01-01" @default.
- W4320736088 modified "2023-09-26" @default.
- W4320736088 title "Numerical simulations of a mixed finite element method for damped plate vibration problems" @default.
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- W4320736088 doi "https://doi.org/10.3934/mmc.2023002" @default.
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