Publications

H. C. Elman, A. Ramage & D.J. Silvester, "IFISS: A computational laboratory for investigating incompressible flow problems," SIAM Review, vol. 56, pp. 261--273, 2014. DOI 10.1137/120891393
D.J. Silvester, A. Bespalov & C.E. Powell, "A framework for the development of implicit solvers for incompressible flow problems," DCDS--S, vol. 5, pp. 1195-1221, 2012. DOI 10.3934/dcdss.2012.5.119
Q. Liao & D.J. Silvester, "A simple yet effective a posteriori error estimator for classical mixed approximation of Stokes equations," App. Num. Math, vol. 62, pp. 1242-1256, 2012. DOI 10.1016/j.apnum.2010.05.003
Q. Liao & D.J. Silvester, "Implicit Solvers using Stabilized Mixed Approximation," Int. J. Numer. Meth. Fluids, vol. 71, pp. 991--1006, 2013. DOI 10.1002/fld.3697
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
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.