42 citations · 42 across the 2 of their papers we have counts for
3 papers
math.NA2024★ 42 cited
A fitted scheme for a Caputo initial-boundary value problem
J. L. Gracia, E. O'Riordan, M. Stynes
In this paper we consider an initial-boundary value problem with a Caputo time derivative of order . The solution typically exhibits a weak singularity near the initial…
math.NA2023
A higher order numerical method for singularly perturbed elliptic problems with characteristic boundary layers
Alan F. Hegarty, Eugene O'Riordan
A Petrov-Galerkin finite element method is constructed for a singularly perturbed elliptic problem in two space dimensions. The solution contains a regular boundary layer and two c…
math.NA2023
Fitted finite element methods for singularly perturbed elliptic problems of convection-diffusion type
Alan F. Hegarty, Eugene O'Riordan
Fitted finite element methods are constructed for a singularly perturbed convection-diffusion problem in two space dimensions. Exponential splines as basis functions are combined w…