Uniform error bounds for semi-discrete finite element solutions of evolutionary integral equations
Lin, Qun, Xu, Da, Zhang, Shuhua
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In this paper, we consider the second-order continuous time Galerkin approximation of the solution to the initial problem where A is an elliptic partial-differential operator and is positive, nonincreasing and log-convex on with . Error estimates are derived in the norm of , and some estimates for the first order time derivatives of the errors are also given.