Prof David Silvester - publications


 

List of publications

2016

  • Powell, C., Silvester, D., & Simoncini, V. (2016). An Efficient Reduced Basis Solver for Stochastic Galerkin Matrix Equations. SIAM Journal on Scientific Computing. . Publication link: a637c683-cde3-41d4-affd-06c8a1b4b306
  • Bespalov, A., & Silvester, D. (2016). Efficient adaptive stochastic Galerkin methods for parametric operator equations. SIAM Journal on Scientific Computing, 38(4), A2118-A2140. DOI: 10.1137/15M1027048. Publication link: 1b85b13b-53e4-43d8-80db-0b517e064f16
  • Silvester, D., & Pranjal, P. (2016). An Optimal Solver for Linear Systems Arising from Stochastic FEM Approximation of Diffusion Equations with Random Coefficients. SIAM: Journal on Uncertainty Quantification , 4(1), 298-311. DOI: 10.1137/15M1017740. Publication link: f459851f-2dc7-4ea5-a908-9a3429f3c081

2015

2014

  • Duminil, S., Sadok, H., & Silvester, D. (2014). Fast solvers for discretized Navier-Stokes problems using vector extrapolation. Numerical Algorithms, 66(1), 89-104. DOI: 10.1007/s11075-013-9726-7. Publication link: 414ec1a9-a465-4f8f-b0e1-f0fbfacb876b
  • Elman, H. C., Ramage, A., & Silvester, D. J. (2014). IFISS: A computational laboratory for investigating incompressible flow problems. SIAM Review, 56(2), 261-273. DOI: 10.1137/120891393. Publication link: 37680164-9253-4572-a406-6746994dfdea
  • Bespalov, A., Powell, C. E., & Silvester, D. (2014). Energy norm a posteriori error estimation for parametric operator equations. SIAM Journal on Scientific Computing, 36(2), A339-A363. DOI: 10.1137/130916849. Publication link: 9449bd78-313a-4b62-ae74-2eceeac36cae
  • Silvester, D., Elman, H., & Wathen, A. (2014). Finite Elements and Fast Iterative Solvers: with applications in incompressible fluid dynamics. (Second ed.) (Numerical Mathematics and Scientific Computation). Oxford: Oxford University Press.. Publication link: e729039a-dfe3-490b-b208-102c48830119

2013

2012

2011

2010

  • Kay, D. A., Gresho, P. M., Griffiths, D. F., & Silvester, D. J. (2010). Adaptive time-stepping for incompressible flow part II: Navier-stokes equations. SIAM Journal on Scientific Computing, 32(1), 111-128. DOI: 10.1137/080728032. Publication link: a94fb62f-863b-4dc7-97b1-f6426b503880

2008

  • Ernst, O. G., Powell, C. E., Silvester, D. J., & Ullmann, E. (2008). Efficient solvers for a linear stochastic galerkin mixed formulation of diffusion problems with random data. SIAM Journal on Scientific Computing, 31(2), 1424-1447. DOI: 10.1137/070705817. Publication link: a2196efb-8345-4551-9393-1f3ed433a6f8

2007

  • Gresho, P. M., Griffiths, D. F., & Silvester, D. J. (2007). Adaptive time-stepping for incompressible flow part I: Scalar advection-diffusion. SIAM Journal on Scientific Computing, 30(4), 2018-2054. DOI: 10.1137/070688018. Publication link: 5f71fa0e-a9b2-47e3-80b0-74322faaa5c3
  • Elman, H. C., Ramage, A., & Silvester, D. J. (2007). Algorithm 866: IFISS, a Matlab toolbox for modelling incompressible flow. ACM Transactions on Mathematical Software, 33(2), [1236469]. DOI: 10.1145/1236463.1236469. Publication link: db870a2f-3a85-469b-a30c-87c7296a0621
  • Elman, H., Howle, V. E., Shadid, J., Silvester, D., & Tuminaro, R. (2007). Least squares preconditioners for stabilized discretizations of the Navier-Stokes equations. SIAM Journal on Scientific Computing, 30(1), 290-311. DOI: 10.1137/060655742. Publication link: b5a9f8bb-9527-4eb6-8b6d-20348c79f917

2005

  • Silvester, D., Elman, H., & Wathen, A. (2005). Finite Elements and Fast Iterative Solvers: With Applications in Incompressible Fluid Dynamics. (First ed.) Oxford: Oxford University Press.. Publication link: c446b044-f143-4f33-80ad-a69d4521392a

2004

2003

  • Syamsudhuha, . U., & Silvester, D. J. (2003). Efficient solution of the steady-state Navier-Stokes equations using a multigrid preconditioned Newton-Krylov method. International Journal for Numerical Methods in Fluids, 43(12), 1407-1427. DOI: 10.1002/fld.627. Publication link: b324dfb1-5af0-4571-9bd0-0f432abc343e

2002

2001

2000

  • Kay, D., & Silvester, D. (2000). A posteriori error estimation for stabilized mixed approximations of the Stokes equations. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 21. . Publication link: 47b25ea9-d3c7-4ec4-85a1-5ad5f66c9494

1999

  • Fischer, B., Ramage, A., Silvester, D. J., & Wathen, A. J. (1999). On parameter choice and iterative convergence for stabilised discretisations of advection-diffusion problems. Computer Methods in Applied Mechanics and Engineering, 179(1-2), 179-195. DOI: 10.1016/S0045-7825(99)00037-7. Publication link: e4ba6139-75d2-4bab-9643-f6c3e2e4f724

1998

  • Fischer, B., Ramage, A., Silvester, D. J., & Wathen, A. J. (1998). Minimum residual methods for augmented systems. BIT Numerical Mathematics, 38(3), 527-543. . Publication link: 3dc770e2-d120-4195-a97b-44840c455dca
  • Norburn, S., & Silvester, D. (1998). Stabilised vs. stable mixed methods for incompressible flow. Computer Methods in Applied Mechanics and Engineering, 166. . Publication link: 3ac49f6d-2a88-4177-8ec0-f96954d7295b

1997

  • Smith, A., & Silvester, D. (1997). Implicit algorithms and their linearization for the transient incompressible Navier-Stokes equations. IMA Journal of Numerical Analysis, 17(4), 527-545. . Publication link: 5d45d256-a357-4e2b-b0e8-02beb3118e78

1996

  • Hanby, R. F., Silvester, D. J., & Chew, J. W. (1996). A comparison of coupled and segregated iterative solution techniques for incompressible swirling flow. International Journal for Numerical Methods in Fluids, 22(5), 353-373. . Publication link: d504da14-e5ea-4cb7-ba1e-b32069c56608
  • Elman, H., & Silvester, D. (1996). Fast nonsymmetric iterations and preconditioning for Navier-Stokes equations. SIAM Journal on Scientific Computing, 17(1), 33-46. . Publication link: c883df3f-9ff3-48a1-9e3d-ae5dda1ee15b

1995

  • WATHEN, A., FISCHER, B., & Silvester, D. (1995). THE CONVERGENCE RATE OF THE MINIMAL RESIDUAL METHOD FOR THE STOKES PROBLEM. NUMERISCHE MATHEMATIK, 71. . Publication link: b86e77cf-bd41-41a5-b688-eac45c3c2d8f

1994

  • Silvester, D., & WATHEN, A. (1994). FAST ITERATIVE SOLUTION OF STABILIZED STOKES SYSTEMS PART .2. USING GENERAL BLOCK PRECONDITIONERS. SIAM JOURNAL ON NUMERICAL ANALYSIS, 31. . Publication link: e74f0fc8-7f9b-4b0d-a5ae-73c6d2c51829
  • Silvester, D. (1994). Optimal low order finite element methods for incompressible flow. Computer Methods in Applied Mechanics and Engineering, 111(3-4), 357-368. . Publication link: 0f7d8e94-5d20-483d-8169-f7263d8593c4

1993

  • WATHEN, A., & Silvester, D. (1993). FAST ITERATIVE SOLUTION OF STABILIZED STOKES SYSTEMS .1. USING SIMPLE DIAGONAL PRECONDITIONERS. SIAM JOURNAL ON NUMERICAL ANALYSIS, 30. . Publication link: d11479f4-baec-4b58-b114-bbd9222dc5c2

1992

  • Atanga, J., & Silvester, D. (1992). Iterative methods for stabilized mixed velocity-pressure finite elements. International Journal for Numerical Methods in Fluids, 14(1), 71-81. . Publication link: e73adb02-84bd-416b-9938-b4f5b9d720cf
  • KECHKAR, N., & Silvester, D. (1992). ANALYSIS OF LOCALLY STABILIZED MIXED FINITE-ELEMENT METHODS FOR THE STOKES PROBLEM. Mathematics of Computation, 58. . Publication link: e783cbfd-3abd-47ba-b726-962eb2046eef

1990

  • Silvester, D., SILVESTER, D. J., & KECHKAR, N. (1990). STABILIZED BILINEAR CONSTANT VELOCITY PRESSURE FINITE-ELEMENTS FOR THE CONJUGATE-GRADIENT SOLUTION OF THE STOKES PROBLEM. Computer Methods in Applied Mechanics and Engineering, 79. . Publication link: e83189c4-1c64-4b58-8e5f-ed2d12b64103

1988

  • Durham, A. M., Silvester, D. J., & Thatcher, R. W. (1988). A study of flow through a vortex amplifier at low Reynolds Number using the finite element method.J. FLUID CONTROL, 18(1), 47-61. . Publication link: 931bb76f-65ee-40e5-970a-854c571cd4aa
  • Silvester, D. (1988). OPTIMIZING FINITE-ELEMENT MATRIX CALCULATIONS USING THE GENERAL TECHNIQUE OF ELEMENT VECTORIZATION. Parallel Computing, 6. . Publication link: a0a16a44-1d0b-4ee1-b3fa-77062a12938b

1986

  • Silvester, D., SILVESTER, D. J., & THATCHER, R. W. (1986). 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, 6. . Publication link: 94ef0e19-1f7d-4565-aab0-682943cc48d8

1984

  • Silvester, D. J., Thatcher, R. W., & Duthie, J. C. (1984). The specification and numerical solution of a benchmark swirling laminar flow problem. Computers and Fluids, 12(4), 281-292. . Publication link: f3589305-809d-4627-9269-895da1243010

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