Finite element and DG analysis for neutral-type Volterra integro-differential equations with weakly singular kernels
The authors use finite element and discontinuous Galerkin (DG) methods to investigate the numerical solution of neutral-type Volterra integro differential equations with weakly singular kernels. A DG time stepping method for the semi discretized equation with fully discretized form is discussed. By defining a suitable Ritz Volterra projection operator a priori error estimates for the finite element method semi-discretization of the discussed problem is given.
Volterra integro differential equations of neutral type with weakly singular kernels
discontinuous Galerkin time-stepping methods
scientific article; zbMATH DE number 5566266