4 papers
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…
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…
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…
Efficient discretization and preconditioning of the singularly perturbed Reaction Diffusion problem
Constantin Bacuta, Daniel Hayes, Jacob Jacavage
We consider the reaction diffusion problem and present efficient ways to discretize and precondition in the singular perturbed case when the reaction term dominates the equation. U…