Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
Nonsmooth data error estimates for approximations of an evolution equation with a positive-type memory term
We study the numerical approximation of an integro-differential equation which is intermediate between the heat and wave equations. The proposed discretization uses convolution quadrature based on the first- and second-order backward difference methods in time, and piecewise linear finite elements in space. Optimal-order error bounds in terms of the initial …