Hybrid Mesh Selection Algorithms Based on Conditioning for Two-Point Boundary Value Problems

  title={Hybrid Mesh Selection Algorithms Based on Conditioning for Two-Point Boundary Value Problems},
  author={Jeff R. Cash and Francesca Mazzia},
In this paper we demonstrate how hybrid mesh selection strategies based on conditioning can be used in codes designed for the numerical solution of singularly perturbed boundary value problems. The new mesh selection strategies are based on the estimation of two parameters which characterise the conditioning of the continuous problem as well as on standard estimates of the local discretization error. The code TOM was the first code where this kind of mesh selection was implemented. Subsequently… CONTINUE READING


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