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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…
math.NA2021
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…