1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
A numerical method for singularly perturbed convection-diffusion problems posed on smooth domains
Alan F. Hegarty, Eugene O'Riordan
A finite difference method is constructed to solve singularly perturbed convection-diffusion problems posed on smooth domains. Constraints are imposed on the data so that only regu…
A numerical algorithm to computationally solve the Hemker problem using Shishkin meshes
Alan F. Hegarty, Eugene O'Riordan
A numerical algorithm is presented to solve a benchmark problem proposed by Hemker. The algorithm incorporates asymptotic information into the design of appropriate piecewise-unifo…
A singularly perturbed convection-diffusion problem posed on an annulus
Alan F. Hegarty, Eugene O'Riordan
A finite difference method is constructed for a singularly perturbed convection diffusion problem posed on an annulus. The method involves combining polar coordinates, an upwind fi…