Publications
Publications DRAFTS (Work in progress)
Coarse Level Conditioning in AMG Solvers for Saddle-point Problems, AMG for SaddlePoint-r1.pdf
Stabilised Algebraic Multigrid Solvers for Saddle-Point Problems, Stabilised AMG
PREPRINTS
Stabilisation of AMG Solvers for Saddle-Point Stokes Problems, Stabilised AMG
Stability of Algebraic Multigrid for Stokes problems, AMGstability.pdf
Algebraic Multigrid and Discrete Calculus representations of coupled fields amgdsc.pdf
Application of scalar algebraic multigrid to discrete coupled-field problems amgasp-4.pdf or amgasp-5.pdf
Mixed-order interpolation for the Galerkin coarse-grid approximations of algebraic multigrid solvers stg+col.pdf , (submitted 09: International Journal for Numerical Methods in Fluids;www.interscience.wiley.com; FLD-09-0404)
Algebraic Multigrid and Fourth-order Discrete-Difference Equations of Incompressible Fluid Flow, AMG4_2.pdf Numerical Linear Algebra with Applications (submitted 2009) NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS Numer. Linear Algebra Appl. (2009) Published online in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/nla.662*
Algebraic multigrid, mixed-order interpolation and incompressible fluid flow. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS 2009. DOI: 10.1002/nla 645. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS Numer. Linear Algebra Appl. (2009) Published online in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/nla.645*
Algebraic multigrid, mixed-order interpolation, and incompressible fluid flow, amg.axeln2.pdf
Algebraic Multigrid and Incompressible Fluid Flow, amg_sn.pdf , International Journal for Numerical Methods in Fluids, 2007, 53:669-690, also on line (www.interscience.wiley.com). DOI: 10.1002/fld.1297 (2006).*
PUBLICATIONS
JOURNALS
R. Webster, Stability of Algebraic Multigrid for Stokes problems, International Journal for Numerical Methods in Fluids, 2013, 71:488-505, also on line (www.interscience.wiley.com). DOI: 10.1002/fld.3672 (2013).*
R. Webster, Algebraic multigrid and Discrete Calculus representations of coupled-fields, International Journal for Numerical Methods in Fluids, 2012, 68:1005-1030, also on line (www.interscience.wiley.com). DOI: 10.1002/fld.2591 (2012).*
R. Webster, Mixed-order interpolation for the Galerkin coarse-grid approximations of algebraic multigrid solvers, International Journal for Numerical Methods in Fluids, 2011, 67:175-188, also on line (www.interscience.wiley.com). DOI: 10.1002/fld.2341 (2011).*
R. Webster, Algebraic multigrid and 4th-order discrete-difference equations of incompressible fluid flow, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, Numer. Linear Algebra Appl. 2010; 17:655–676, Published online 27 July 2009 in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/nla.662
R. Webster, Algebraic multigrid, mixed-order interpolation and incompressible fluid flow, NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, Numer. Linear Algebra Appl. 2010; 17:17–42
Published online 27 March 2009 in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/nla.645
R. Webster, Algebraic Multigrid and Incompressible Fluid Flow, International Journal for Numerical Methods in Fluids, 2007, 53:669-690, also on line (www.interscience.wiley.com). DOI: 10.1002/fld.1297 (2006).*
R.Webster, Efficient Algebraic Multigrid Solvers with Elementary Restriction and Prolongation, International Journal for Numerical Methods in Fluids, 1998; 28: 317-336.(www.interscience.wiley.com). *
R. Webster, Performance of algebraic multigrid solvers based on unsmoothed and smoothed aggregation schemes, International Journal for Numerical Methods in Fluids, 2001; 36: 743-772.(www.interscience.wiley.com). *
R. Webster, Stability of Navier-Stokes Discretizations on Collocated Meshes of High Anisotropy and the Performance of Algebraic Multigrid Solvers, International Journal for Numerical Methods in Fluids, 2006; 51: 1419-1438.(www.interscience.wiley.com).*
R. Webster, An algebraic multigrid solver for Navier-Stokes problems in the discrete 2nd-order approximation, International Journal for Numerical Methods in Fluids, 1996 22, 1103-1123.(www.interscience.wiley.com). *
R.Webster, An Algebraic Multigrid Solver for Navier-Stokes Problems, International Journal for Numerical Methods in Fluids, 18,761-780, 1994.(www.interscience.wiley.com). *
Keith W Blazey, Heinrich Rohrer and Ronald Webster, Magnetocaloric Effects and the Angular Variation of the Magnetic Phase Diagram of GdAlO3, PHYSICAL REVIEW B, Vol 4, No. 7 (1971), pp 2287-2302
CONFERENCE PROCEEDINGS/ BOOKS
R. Webster, An algebraic multigrid solver for Navier-Stokes problems in the 2nd-order discrete approximation, Seventh Copper Mountain Conference on Multigrid Methods, NASA Conference Publication 3339, Part 2, pp 755-770, 1996.
R. Webster, Natural Convection Cooling of Liquid Metal Systems: A Review: in Liquid Metal Thermalhydraulics, Heinz M. Kottowski-Dumenil Ed., INFORUM Verlags- und Verwaltungs GmbH, Bonn, 1994.
UNPUBLISHED WORK
AMG FOR COUPLED SYSTEMS: An investigation of the 'unknown' approach with equal-order interpolation for scalar and vector fields AMGstokes.pdf
R. Webster, On the Propagation of Ultraviolet Light in Liquid Sodium, Technical Note, 10th April, 1985.EM_propagation.pdf
R. Webster, An Investigation of Spin-Lattice Coupling in Caesium Copper Sulphate, Thesis, University of Bristol, 1973. Thesis_synopsis.pdf
*Reprints of these papers may be obtained from the Author. Send Request via Email using the address on the Contact page.