2 papers
math.NA2024
A finite difference scheme for two-dimensional singularly perturbed convection-diffusion problem with discontinuous source term
Ram Shiromani, Niall Madden, V. Shanthi
We propose a finite difference scheme for the numerical solution of a two-dimensional singularly perturbed convection-diffusion partial differential equation whose solution feature…
math.NA2023
Layer-adapted meshes for singularly perturbed problems via mesh partial differential equations and a posteriori information
Róisín Hill, Niall Madden
We propose a new method for the construction of layer-adapted meshes for singularly perturbed differential equations (SPDEs), based on mesh partial differential equations (MPDEs) t…