Equivalent operator preconditioning for elliptic problems

@article{Axelsson2008EquivalentOP,
  title={Equivalent operator preconditioning for elliptic problems},
  author={Owe Axelsson and J{\'a}nos Kar{\'a}tson},
  journal={Numerical Algorithms},
  year={2008},
  volume={50},
  pages={297-380}
}
The numerical solution of linear elliptic partial differential equations most often involves a finite element or finite difference discretization. To preserve sparsity, the arising system is normally solved using an iterative solution method, commonly a preconditioned conjugate gradient method. Preconditioning is a crucial part of such a solution process. In order to enable the solution of very large-scale systems, it is desirable that the total computational cost will be of optimal order, i.e… CONTINUE READING