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A mixed finite element Galerkin method is analyzed for a strongly damped wave equation. Optimal error estimates in L2-norm for the velocity and stress are derived using usual energy argument, while those for displacement are based on the nonstandard energy formulation of Baker. Both a semi-discrete scheme and a second-order implicit-time discretization method are discussed, and it is shown that the results are valid for all t > 0.
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Pani et al. (2001) studied this question.
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