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math.NA2024
Optimal balanced-norm error estimate of the LDG method for reaction-diffusion problems II: the two-dimensional case with layer-upwind flux
Yao Cheng, Xuesong Wang, Martin Stynes
A singularly perturbed reaction-diffusion problem posed on the unit square in is solved numerically by a local discontinuous Galerkin (LDG) finite element method. Ty…
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…