Optimal order finite element approximation for a hyperbolic integro-differential equation
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Abstract:
Semidiscrete finite element approximation of a hyperbolic type integro-differential equation is studied. The model problem is treated as the wave equation which is perturbed with a memory term. Stability estimates are obtained for a slightly more general problem. These, based on energy method, are used to prove optimal order a priori error estimates.
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optimal order finite element approximation for a hyperbolic integro-differential equation
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Journal title
volume 38 issue 2
pages 447- 459
publication date 2012-07-15
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