Finite element approximation of a parabolic integro-differential equation with a weakly singular kernel
C. Chen, V. Thom{ée, Lars B. Wahlbin · Mathematics of Computation · 1992
We give error estimates for the numerical solution by means of the Galerkin finite element method of an integro-differential equation of parabolic type with a memory term containing a weakly singular kernel. Optimal-order estimates are shown for spatially semidiscrete and completely discrete methods. Special attention is paid to the regularity of the exact solution.