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
Results on a Mixed Finite Element Approach for a Model Convection-Diffusion Problem
Constantin Bacuta, Daniel Hayes, Tyler O'Grady
We consider a model convection-diffusion problem and present our recent numerical and analysis results regarding mixed finite element formulation and discretization in the singular…
math.NA2023
Notes on Finite Element Discretization for a Model Convection-Diffusion Problem
Constantin Bacuta, Daniel Hayes, Tyler O'Grady
We present recent finite element numerical results on a model convection-diffusion problem in the singular perturbed case when the convection term dominates the problem. We compare…