Publications

D.J. Silvester, A. Bespalov & C.E. Powell, "A framework for the development of implicit solvers for incompressible flow problems," Preprint, 2011.
Q. Liao & D.J. Silvester, "Fast Implicit Solvers using Stabilized Mixed Approximation," Preprint, 2011.
H.C. Elman, M. Mihajlovic & D.J. Silvester, "Fast iterative solvers for buoyancy driven flow problems," J. Comput. Phys., vol. 230, pp. 3900-3914, 2011. DOI 10.1016/j.jcp.2011.02.014
D.J. Silvester & V. Simoncini, "An optimal iterative solver for symmetric indefinite systems stemming from mixed approximation", ACM Trans. Math. Softw., vol. 37 no. 4, 2010. DOI 10.1145/1916461.1916466
Q. Liao & D.J. Silvester, "A simple yet effective a posteriori error estimator for classical mixed approximation of Stokes equations," App. Num. Math, in press, corrected proof, 2010. DOI 10.1016/j.apnum.2010.05.003
H.C. Elman & R.S. Tuminaro, "Boundary conditions in approximate commutator preconditioners for the Navier-Stokes equations," Electronic Transactions on Numerical Analysis, vol. 35, pp. 257-280, 2009.
H.C. Elman, V. Howle, J. Shadid, D.J. Silvester & R.S. Tuminaro, "Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations," SIAM J. Sci. Comput., vol. 30, pp. 290-311, 2007. DOI 10.1137/060655742
H.C. Elman, A. Ramage & D.J. Silvester, "Algorithm 886: IFISS, A Matlab toolbox for modelling incompressible flow", ACM Trans. Math. Softw., vol. 33 no. 14, 2007. DOI 10.1145/1236463.1236469

Thesis

Qifeng Liao, "Error estimation and stabilization for low order finite elements" Manchester Institute for Mathematical Sciences, The University of Manchester, 2010.