3 papers
math.NA2024
Comparison of variational discretizations for a convection-diffusion problem
Constantin Bacuta, Cristina Bacuta, Daniel Hayes
For a model convection-diffusion problem, we obtain new error estimates for a general upwinding finite element discretization based on bubble modification of the test space. The ke…
math.NA2024
Connections Between Finite Difference and Finite Element Approximations for a Convection-Diffusion Problem
Constantin Bacuta, Cristina Bacuta
We consider a model convection-diffusion problem and present useful connections between the finite differences and finite element discretization methods. We introduce a general upw…
math.NA2021
Connections Between Finite Difference and Finite Element Approximations
Cristina Bacuta, Constantin Bacuta
We present useful connections between the finite difference and the finite element methods for a model boundary value problem. We start from the observation that, in the finite ele…