Prof David Silvester - publications


 

List of publications

2014

  • Alex Bespalov, Catherine E. Powell and David Silvester. Energy norm a posteriori error estimation for parametric operator equations. S I A M Journal on Scientific Computing. 2014 March; 36(2): A339-A363. eScholarID:222373 | DOI:10.1137/130916849
  • Howard Elman, David Silvester, Andy Wathen. Finite Elements and Fast Iterative Solvers: with applications in incompressible fluid dynamics. Oxford: Oxford University Press:2014. eScholarID:227352
  • Howard C. Elman, Alison Ramage and David J. Silvester. IFISS: A computational laboratory for investigating incompressible flow problems. S I A M Review. 2014 May; 56(2): 261-273. eScholarID:226106 | DOI:10.1137/120891393

2013

  • Sebastien Duminil, Hassane Sadok, David Silvester. Fast solvers for discretized Navier-Stokes problems using vector extrapolation. Numerical Algorithms. 2013 June; 66(1): 89-104. eScholarID:224219 | DOI:10.1007/s11075-013-9726-7
  • Qifeng Liao and David Silvester. Implicit solvers using stabilized mixed approximation. International Journal for Numerical Methods in Fluids. 2013 March; 71(8): 16. eScholarID:206057 | DOI:10.1002/fld.3697
  • Smethurst, C; Silvester D; Mihajlovic, M. Unstructured finite element method for the solution of the Boussinesq problem in three dimensions. International Journal for Numerical Methods in Fluids. 2013 July; eScholarID:207547 | DOI:10.1002/fld.3823

2012

  • Alexei Bespalov and Catherine E. Powell and David Silvester. A Priori Error Analysis of Stochastic Galerkin Mixed Approximations of Elliptic PDEs with Random Data. SIAM Journal on Numerical Analysis. 2012 August; 50(4): 25. eScholarID:172638 | DOI:10.1137/110854898
  • David J. Silvester and Alex Bespalov and Catherine E. Powell. A framework for the development of implicit solvers for incompressible flow problems. Discrete and Continuous Dynamical Systems - Series S (DCDS-S). 2012 August; 5(6): 27. eScholarID:172639 | DOI:10.3934/dcdss.2012.5.1195
  • Catherine E. Powell, David J. Silvester. Preconditioning Steady-State Navier-Stokes Equations with Random Data. SIAM Journal on Scientific Computing. 2012 September; 34(5): 25. eScholarID:180067 | DOI:10.1137/120870578
  • Qifeng Liao and David Silvester. Robust stabilized Stokes approximation methods for highly stretched grids. IMA Journal of Numerical Analysis. 2012 July; 33(2): 19. eScholarID:206053 | DOI:10.1093/imanum/drs012

2011

  • Qifeng Liao and David Silvester. A simple yet effective a posteriori error estimator for classical mixed approximation of Stokes equations. Applied Numerical Mathematics. In-press eScholarID:106931 | DOI:doi:10.1016/j.apnum.2010.05.003
  • David J. Silvester and Valeria Simoncini. An Optimal Iterative Solver for Symmetric Indefinite Systems stemming from Mixed Approximation. ACM Transactions on Mathematical Software. 2011 February; 37(4): . eScholarID:106929 | DOI:10.1145/1916461.1916466
  • Howard Elman and Milan Mihajlovic and David Silvester. Fast Iterative Solvers for Buoyancy Driven Flow Problems. Journal of Computational Physics. 2011 February; 230: 3900-3914. eScholarID:121523 | DOI:10.1016/j.jcp.2011.02.014

2010

  • Kay, D., Gresho, P., Griffiths, D. and Silvester, D. Adaptive time-stepping for incompressible flow; part II: Navier–Stokes equations. SIAM Journal on Scientific Computing. 2010; 32(1): 111-128. eScholarID:90376 | DOI:10.1137/080728032

2009

  • @misc{primer, author = "David Silvester", title = "A {F}inite {E}lement {P}rimer: version 1.1", note = "{\tt http://www.maths.manchester.ac.uk/djs/primer.pdf}", year = "2009" }.
  • Oliver Ernst and Catherine Powell and David Silvester and Elisabeth Ullmann. Efficient solvers for a linear stochastic Galerkin mixed formulation of diffusion problems with random data. SIAM Journal on Scientific Computing. 2009; 31(2): 1424-1447. eScholarID:60970 | DOI:10.1137/070705817

2008

  • Philip Gresho and David Griffiths and David Silvester. Adaptive time-stepping for incompressible flow; part I: scalar advection-diffusion. SIAM Journal on Scientific Computing. 2008; 30(4): 2018-2054. eScholarID:60974 | DOI:10.1137/070688018

2007

  • @misc{pifiss, author = "David Silvester and Catherine Powell", title = " {P}otential {I}ncompressible {F}low and {I}terative {S}olver {S}oftware ({PIFISS})", note = "{\tt http://www.manchester.ac.uk/ifiss/pifiss}" }.
  • Elman, HC; Ramage, A; Silvester, DJ. Algorithm 866: IFISS, a matlab toolbox for modelling incompressible flow. ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE. 2007 January; 33: eScholarID:1a6074
  • Howard Elman and Victoria Howle and John Shadid and David Silvester and Ray Tuminaro. Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. SIAM Journal on Scientific Computing. 2007; 30: 290-311. eScholarID:60989

2006

  • @misc{ifiss, author = "David Silvester and Howard Elman and Alison Ramage", title = "{I}ncompressible {F}low and {I}terative {S}olver {S}oftware ({IFISS}) version 2.2", note = "{\tt http://www.manchester.ac.uk/ifiss}" }.

2005

  • SILVESTER DJ; H. ELMAN; A. WATHEN;. Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics. Oxford University Press:2005. eScholarID:4a82

2004

  • Silvester, DJ; Mihajlovic, MD. A black-box multigrid preconditioner for the biharmonic equation. BIT NUMERICAL MATHEMATICS. 2004 March; 44: 151-163. eScholarID:1a6075 | DOI:10.1023/B:BITN.0000025094.68655.c7
  • Mihajlovic, MD; Silvester, DJ. Efficient parallel solvers for the biharmonic equation. PARALLEL COMPUTING. 2004 January; 30: 35-55. eScholarID:1a6077 | DOI:10.1016/j.parco.2003.07.002

2003

  • Syamsudhuha; Silvester, DJ. Efficient solution of the steady-state Navier-Stokes equations using a multigrid preconditioned Newton-Krylov method. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 2003 December; 43: 1407-1427. eScholarID:1a6078 | DOI:10.1002/fld.627
  • Powell, CE; Silvester, D. Optimal preconditioning for Raviart-Thomas mixed formulation of second-order elliptic problems. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. 2003 January; 25: 718-738. eScholarID:1a6076 | DOI:10.1137/S0895479802404428

2002

  • Elman, HC; Silvester, DJ; Wathen, AJ. Block preconditioners for the discrete incompressible Navier-Stokes equations. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 2002 September; 40: 333-344. eScholarID:1a6079 | DOI:10.1002/fld.311
  • Elman, HC; Silvester, DJ; Wathen, AJ. Performance and analysis of saddle point preconditioners for the discrete steady-state Navier-Stokes equations. NUMERISCHE MATHEMATIK. 2002 February; 90: 665-688. eScholarID:1a6080 | DOI:10.1007/s002110100300

2001

  • Silvester, D; Elman, H; Kay, D; Wathen, A. Efficient preconditioning of the linearized Navier-Stokes equations for incompressible flow. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. 2001 March; 128: 261-279. eScholarID:1a6082 | DOI:10.1016/S0377-0427(00)00515-X
  • Norburn, S; Silvester, D. Fourier analysis of stabilized Q(1)-Q(1) mixed finite element approximation. SIAM Journal on Numerical Analysis. 2001 August; 39: 817-833. eScholarID:1a6081 | DOI:10.1137/S0036142999362274
  • Kay, D; Silvester, D. The reliability of local error estimators for convection-diffusion equations. IMA JOURNAL OF NUMERICAL ANALYSIS. 2001 January; 21: 107-122. eScholarID:1a6083 | DOI:10.1093/imanum/21.1.107

2000

  • Kay, D; Silvester, D. A posteriori error estimation for stabilized mixed approximations of the Stokes equations. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 2000 April; 21: 1321-1336. eScholarID:1a6084

1999

  • Fischer, B; Ramage, A; Silvester, DJ; Wathen, AJ. On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 1999 August; 179: 179-195. eScholarID:1a6085

1998

  • Fischer, B; Ramage, A; Silvester, DJ; Wathen, AJ. Minimum residual methods for augmented systems. BIT. 1998 September; 38: 527-543. eScholarID:1a6087
  • Norburn, S; Silvester, D. Stabilised vs. stable mixed methods for incompressible flow. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 1998 November; 166: 131-141. eScholarID:1a6086

1997

  • Smith, A; Silvester, D. Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations. IMA JOURNAL OF NUMERICAL ANALYSIS. 1997 October; 17: 527-545. eScholarID:1a6088

1996

  • Hanby, RF; Silvester, DJ; Chew, JW. A comparison of coupled and segregated iterative solution techniques for incompressible swirling flow. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 1996 March; 22: 353-373. eScholarID:1a6089
  • Elman, H; Silvester, D. Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. SIAM JOURNAL ON SCIENTIFIC COMPUTING. 1996 January; 17: 33-46. eScholarID:1a6090

1995

  • WATHEN, A; FISCHER, B; SILVESTER, D. THE CONVERGENCE RATE OF THE MINIMAL RESIDUAL METHOD FOR THE STOKES PROBLEM. NUMERISCHE MATHEMATIK. 1995 July; 71: 121-134. eScholarID:1a6091

1994

  • SILVESTER, D; WATHEN, A. FAST ITERATIVE SOLUTION OF STABILIZED STOKES SYSTEMS PART .2. USING GENERAL BLOCK PRECONDITIONERS. SIAM JOURNAL ON NUMERICAL ANALYSIS. 1994 October; 31: 1352-1367. eScholarID:1a6092
  • SILVESTER, D. OPTIMAL LOW-ORDER FINITE-ELEMENT METHODS FOR INCOMPRESSIBLE-FLOW. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 1994 January; 111: 357-368. eScholarID:1a6093

1993

  • WATHEN, A; SILVESTER, D. FAST ITERATIVE SOLUTION OF STABILIZED STOKES SYSTEMS .1. USING SIMPLE DIAGONAL PRECONDITIONERS. SIAM JOURNAL ON NUMERICAL ANALYSIS. 1993 June; 30: 630-649. eScholarID:1a6094

1992

  • KECHKAR, N; SILVESTER, D. ANALYSIS OF LOCALLY STABILIZED MIXED FINITE-ELEMENT METHODS FOR THE STOKES PROBLEM. MATHEMATICS OF COMPUTATION. 1992 January; 58: 1-10. eScholarID:1a6095
  • ATANGA, J; SILVESTER, D. ITERATIVE METHODS FOR STABILIZED MIXED VELOCITY PRESSURE FINITE-ELEMENTS. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 1992 January; 14: 71-81. eScholarID:1a6096

1990

  • SILVESTER, DJ; KECHKAR, N. STABILIZED BILINEAR CONSTANT VELOCITY PRESSURE FINITE-ELEMENTS FOR THE CONJUGATE-GRADIENT SOLUTION OF THE STOKES PROBLEM. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING. 1990 March; 79: 71-86. eScholarID:1a6097

1988

  • Durham, A; Silvester, D; Thatcher, R. A study of flow through a vortex amplifier at low Reynolds number using the finite element method. Journal of Fluid Control. 1988; 18: 47-61. eScholarID:207548
  • SILVESTER, DJ. OPTIMIZING FINITE-ELEMENT MATRIX CALCULATIONS USING THE GENERAL TECHNIQUE OF ELEMENT VECTORIZATION. PARALLEL COMPUTING. 1988 February; 6: 157-164. eScholarID:1a6098

1986

  • SILVESTER, DJ; THATCHER, RW. THE EFFECT OF THE STABILITY OF MIXED FINITE-ELEMENT APPROXIMATIONS ON THE ACCURACY AND RATE OF CONVERGENCE OF SOLUTION WHEN SOLVING INCOMPRESSIBLE-FLOW PROBLEMS. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS. 1986 November; 6: 841-853. eScholarID:1a6099

1984

  • SILVESTER, DJ; THATCHER, RW; DUTHIE, JC. THE SPECIFICATION AND NUMERICAL-SOLUTION OF A BENCHMARK SWIRLING LAMINAR-FLOW PROBLEM. COMPUTERS & FLUIDS. 1984 January; 12: 281-292. eScholarID:1a6100

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