Recent publications:

- An
overlapping additive Schwarz preconditioner for the Laplace-Beltrami equation using spherical splines.*Adv. Comput. Math.*37 (2012), no. 1, 93–121 (with Duong Pham and Simon Crothers). - Radial basis functions for the solution of hypersingular
operators on open surfaces.
*Comput. Math. Appl.*63 (2012), no. 11, 1504–1518 (with Norbert Heuer). - A domain decomposition method for solving the hypersingular
integral equation on the
sphere with spherical splines.*Numer. Math.*120 (2012), no. 1, 117–151 (with Duong Pham). - Pseudodifferential equations on the sphere with spherical
splines.
*Math. Models Methods Appl. Sci.*21 (2011), no. 9, 1933–1959 (with Duong Pham and Alexey Chernov). - Solution to the Neumann problem exterior to a prolate
spheroid by radial basis functions.
*Adv. Comput. Math.*34 (2011), no. 1, 83–103 (with Thong Le-Gia and Ernst Stephan). - Numerical simulation of fluid-rock coupling heat transfer in naturally fractured
geothermal system,
*Applied Thermal Engineering*31 (2011) 1600-1606 (with A.R. Shaik, N.H. Tran and S.S. Rahman). - Estimating pressure losses in interconnected fracture systems: an integrated tensor approach, International Journal of Geomechanics, doi:10.1061/(ASCE)GM.1943-5622.0000099 (with A.R. Shaik, N.H. Tran and S.S. Rahman).
- Additive Schwarz preconditioners for interpolation of
divergence-free vector fields on spheres.
*ANZIAM J. Electron. Suppl.*52 (2010), (C), C742–C758 (with Thong Le-Gia). - An overlapping additive Schwarz preconditioner for
interpolation on the unit sphere with spherical radial basis functions.
*J. Complexity*26 (2010), no. 5, 552–573 (with Thong Le-Gia). - Preconditioners for pseudodifferential equations on the
sphere with radial basis functions.
*Numer. Math.*115 (2010), no. 1, 141–163 (with Thong Le-Gia, Ian Sloan and Ernst Stephan). - Boundary integral equations on the sphere with radial basis
functions: error analysis.
*Appl. Numer. Math.*59 (2009), no. 11, 2857–2871 (with Thong Le-Gia, Ian Sloan and Ernst Stephan). - Solutions to pseudodifferential equations using spherical
radial basis functions.
*Bull. Aust. Math. Soc.*79 (2009), no. 3, 473–485 (with Duong Pham). - Overlapping additive Schwarz preconditioners for elliptic
PDEs on the unit sphere.
*Math. Comp.*78 (2009), no. 265, 79–101 (with Thong Le-Gia and Ian Sloan). - Interpolation on the sphere: a fast solution technique.
*ANZIAM J.*50 (2008), (C), C354–C370 (with Thong Le-Gia). -
Numerical solutions to a boundary integral equation with spherical radial basis functions.*ANZIAM J.*50 (2008), (C), C266–C281 (with Duong Pham and Thong Le-Gia). - Domain decomposition algorithms for an indefinite
hypersingular integral equation in three dimensions.
*Domain decomposition methods in science and engineering XVII,*647–655, Lect. Notes Comput. Sci. Eng., 60,*Springer, Berlin,*2008 (with Matthias Maischak and Ernst Stephan). - Additive Schwarz preconditioners for the h-p version
boundary-element approximation to the hypersingular operator in three
dimensions.
*Int. J. Comput. Math.*84 (2007), no. 10, 1417–1437.