===firstname:
Pranjal
===firstname3:

===affil6:

===lastname3:

===email:
pranjal.pranjal@manchester.ac.uk
===keyword_other2:
Inbuilt stopping criterion  for iterative solvers
===lastname6:

===affil5:

===lastname4:

===lastname7:

===affil7:

===postal:
School of Mathematics, Alan Turing Building, The University of Manchester, Manchester M13 9PL, UK.
===ABSTRACT:
This paper discusses  the design and implementation of
efficient solution algorithms for symmetric and nonsymmetric
linear systems  associated with finite element  approximation of  partial differential equations.  The novel feature of  our preconditioned MINRES solver (for symmetric systems) and preconditioned GMRES solver (for nonsymmetric systems)  is
the incorporation of error control in  the natural  norm (associated with the specific approximation  space)  in combination with  {a reliable and efficient} a posteriori estimator for the PDE approximation error.  This leads to a robust
and balanced inbuilt  stopping criterion: the iteration is terminated as soon as the algebraic error is insignificant compared to the approximation error.
===affil3:

===title:
Balanced iterative solvers  for {linear systems} arising from finite element
approximation of  PDEs
===affil2:

===lastname2:

===firstname4:

===keyword1:
Uncertainty quantification/PDEs with random data
===workshop:
no
===lastname:
Prasad
===firstname5:

===keyword2:
APP_OTHER
===otherauths:

===affil4:

===competition:
yes
===firstname7:

===firstname6:

===keyword_other1:

===lastname5:

===affilother:

===firstname2: