A Posteriori Error Analysis of Finite Element Approximation to an Evolution Equation with a Positive-Type Memory Term
arXiv:2610.37264v1 Announce Type: new Abstract: This paper develops reliable a posteriori error estimates for finite element approximation of an evolution equation with a positive-type memory kernels on bounded convex polygonal or polyhedral domains, including both smooth and weakly singular kernels. For the weakly singular kernel $t^{\alpha-1}/\Gamma(\alpha),\; 0