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and error estimates for mixed methods for integro-differential equations of parabolic type

Ziwen Jiang — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

Error estimates in (Ω)), (Ω)), (Ω)), (Ω)), in 2 , are derived for a mixed finite element method for the initial-boundary value problem for integro-differential equation u t = div { a u + 0 t b 1 u d τ + 0 t 𝐜 u d τ } + f based on the Raviart-Thomas space x ⊂ (div;Ω) x . Optimal order estimates are obtained for the approximation of in (Ω)) and the associated velocity in (Ω)), div in (Ω)). Quasi-optimal...

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