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math.NA2023★ 1 cited
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…