An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation

@article{Silvester2011AnOI,
  title={An Optimal Iterative Solver for Symmetric Indefinite Systems Stemming from Mixed Approximation},
  author={David J. Silvester and Valeria Simoncini},
  journal={ACM Trans. Math. Softw.},
  year={2011},
  volume={37},
  pages={42:1-42:22}
}
We discuss the design and implementation of a suite of functions for solving symmetric indefinite linear systems associated with mixed approximation of systems of PDEs. The novel feature of our iterative solver is the incorporation of error control in the natural “energy” norm in combination with an a posteriori estimator for the PDE approximation error. This leads to a robust and optimally efficient stopping criterion: the iteration is terminated as soon as the algebraic error is insignificant… CONTINUE READING

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References

Publications referenced by this paper.
Showing 1-5 of 5 references

Parameter-free H(div) preconditioning for mixed finite element formulation of diffusion problems

C. POWELL
IMA J. Numer. Anal. 25, 783–796. • 2005
View 5 Excerpts
Highly Influenced

Iterative Methods for Solving Linear Systems of Equations on FPGA-Based Machines

Computers and Their Applications • 2003
View 4 Excerpts
Highly Influenced

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