By Professor Thanh Tran

Journal articles

Tregubov I; Tran T, 2014, 'A Galerkin method with spherical splines for the shallow water equations on a sphere: error analysis', Numerische Mathematik, http://dx.doi.org/10.1007/s00211-014-0654-9

Pham DT; Tran T, 2014, 'Solving non-strongly elliptic pseudodifferential equations on a sphere using radial basis functions', Computers and Mathematics with Applications, 70, pp. 1970 - 1983, http://dx.doi.org/10.1016/j.camwa.2015.08.018

Le K-N; Page M; Praetorius D; Tran T, 2014, 'On a decoupled linear FEM integrator for eddy-current-LLG', Applicable Analysis, 94, pp. 1051 - 1067, http://dx.doi.org/10.1080/00036811.2014.916401

Le K-N; Tran T, 2013, 'A finite element approximation for the quasi-static Maxwell--Landau--Lifshitz--Gilbert equations', ANZIAM Journal, 54, pp. 681 - 681, http://dx.doi.org/10.21914/anziamj.v54i0.6318

Heuer N; Tran T, 2013, 'A mixed method for Dirichlet problems with radial basis functions', Computers and Mathematics with Applications, 66, pp. 2045 - 2055, http://dx.doi.org/10.1016/j.camwa.2013.08.029

Le KN; Tran T, 2013, 'A convergent finite element approximation for the quasi-static Maxwell-Landau-Lifshitz-Gilbert equations', Computers and Mathematics with Applications, 66, pp. 1389 - 1402, http://dx.doi.org/10.1016/j.camwa.2013.08.009

Le K-N; Tran T, 2013, 'A convergent finite element approximation for the quasi-static Maxwell-Landau-Lifshitz-Gilbert equations', Computers and Mathematics with Applications, 66, pp. 1389 - 1402, http://dx.doi.org/10.1016/j.camwa.2013.08.009

Pham DH; Tran T, 2012, 'A domain decomposition method for solving the hypersingular integral equation on the sphere with spherical splines', Numerische Mathematik, 120, pp. 117 - 151, http://dx.doi.org/10.1007/s00211-011-0404-1

Pham DH; Tran T; Crothers S, 2012, 'An overlapping additive Schwartz preconditioner for the Laplace-Beltrami equation using spherical splines', Advances in Computational Mathematics, 37, pp. 93 - 121, http://dx.doi.org/10.1007/s10444-011-9200-9

Heuer N; Tran T, 2012, 'Radial basis functions for the solution of hypersingular operators on open surfaces', Computers and Mathematics With Applications, 63, pp. 1504 - 1518, http://dx.doi.org/10.1016/j.camwa.2012.03.038

Le Gia QT; Tran T, 2011, 'Additive Schwarz preconditioners for interpolation of divergence-free vector fields on spheres', ANZIAM Journal, 52, pp. C742 - C758

Shaik AR; Tran NH; Rahman SS; Tran T, 2011, 'Estimating Pressure Losses in Interconnected Fracture Systems: An Integrated Tensor Approach', International Journal of Geomechanics, 11, pp. 11pages, http://dx.doi.org/10.1061/(ASCE)GM.1943-5622.0000099

Costea A; Le Gia Q; Stephan E; Tran T, 2011, 'Meshless BEM and overlapping Schwarz preconditioners for exterior problems on spheroids', Studia Geophysica et Geodaetica, 55, pp. 465 - 477

Shaik AR; Rahman SS; Tran NH; Tran T, 2011, 'Numerical simulation of fluid-rock coupling heat transfer in naturally fractured geothermal system', Applied Thermal Engineering, 31, pp. 1600 - 1606, http://dx.doi.org/10.1016/j.applthermaleng.2011.01.038

Pham T; Tran T; Chernov A, 2011, 'Pseudodifferential equations on the sphere with spherical splines', Mathematical Models and Methods in Applied Sciences, 21, pp. 1933 - 1959, http://dx.doi.org/10.1142/S021820251100560X

Le Gia QT; Stephan EP; Tran T, 2011, 'Solution to the Neumann problem exterior to a prolate spheroid by radial basis functions', Advances in Computational Mathematics, 34, pp. 83 - 103, http://dx.doi.org/10.1007/s10444-010-9145-4

Le Gia QT; Tran T, 2010, 'An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions', Journal of Complexity, 26, pp. 552 - 573

Tran T; Le Gia QT; Sloan IH; Stephan EP, 2010, 'Preconditioners for pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, 115, pp. 141 - 163

Le Gia QT; Tran T; Sloan IH; Stephan EP, 2009, 'Boundary integral equations on the sphere with radial basis functions: error analysis', Applied Numerical Mathematics, 59, pp. 2857 - 2871

Le Gia QT; Sloan IH; Tran T, 2009, 'Overlapping additive schwarz preconditioners for elliptic pdes on the unit sphere', Mathematics of Computation, 78, pp. 79 - 101

Tran T, 2009, 'Solutions to pseudodifferential equations using spherical radial basis functions', Bulletin of the Australian Mathematical Society, 79, pp. 473 - 485

Tran T; Le Gia QT, 2008, 'Interpolation on the sphere: a fast solution technique', Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 50, pp. C354 - C370

Le Gia QT; Tran T, 2008, 'Interpolation on the sphere: a fast solution technique', ANZIAM Journal, pp. 354 - 370

Tran T, 2008, 'Meshless methods for pseudodifferential equations on the sphere', Oberwolfach Reports, No.19, pp. 10 - 12

Le Gia QT; Pham TD; Tran T, 2008, 'Numerical solutions to a boundary integral equation with spherical radial basis functions', ANZIAM Journal, pp. 266 - 281

Tran T, 2007, 'Additive Schwarz preconditioners for the h-p version boundary-element approximation to the hypersingular operator in three dimensions', International Journal of Computer Mathematics, 84, pp. 1417 - 1437

Tran T; Duong T, 2005, 'A Posteriori error estimates with the finite element method of lines for a Sobolev equation', Numerical Methods for Partial Differential Equations, 21, pp. 521 - 535

Teimoori Sangani A; Chen Z; Rahman SS; Tran T, 2005, 'Effective permeability calculation using boundary element method in naturally fractured reservoirs', Petroleum Science and Technology, 23, pp. 693 - 709

Tran T; Stephan EP, 2004, 'An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems', Journal of Numerical Mathematics, 12, http://dx.doi.org/10.1515/1569395042571265

Maischak M; Stephan EP; Tran T, 2004, 'A multiplicative Schwarz algorithm for the Galerkin boundary element approximation of the weakly singular integral operator in three dimensions', International Journal of Pure and Applied Mathematics, pp. 1 - 21

Tran T; Stephan E, 2004, 'An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lame crack problems', Journal of Numerical Mathematics, 12, pp. 311 - 330, http://www.sciencedirect.com/science/article/B6WPV-4F8K1JM-503/2/2886f934f125f4f4065f858d5968c2f9

Teimoori A; Chen Z; Rahman SS; Tran T, 2003, 'Calculation of Permeability Tensor Using Boundary Element Method Provides a Unique Tool to Simulate Naturally Fractured Reservoirs', Proceedings - SPE Annual Technical Conference and Exhibition, pp. 5035 - 5042, http://dx.doi.org/10.2118/84545-ms

Tran T; Duong T, 2002, 'A complete analysis for some a posteriori error estimate with the ...', Numerical Functional Analysis and Optimization, 23, pp. 891 - 909

Tran T; Stephan EP, 2001, 'Two-level additive Schwarz preconditioners for the h-p version of the Galerkin boundary element method for 2-d problems', Computing (Vienna/New York), 67, pp. 57 - 82, http://dx.doi.org/10.1007/s006070170016

Tran T, 2001, 'The tolerant qualocation method for variable-coefficient equations on curves', Journal of Integral Equations and Applications, 13, pp. 73 - 98

Tran T, 2000, 'Overlapping additive Schwarz preconditioners for boundary element methods', Journal of Integral Equations and Applications, 12, pp. 177 - 208, http://dx.doi.org/10.1216/jiea/1020282169

Kress R; Tran T, 2000, 'Inverse scattering for a locally perturbed half-plane', Inverse Problems, 16, pp. 1541 - 1559, http://dx.doi.org/10.1088/0266-5611/16/5/323

Stephan EP; Tran T, 2000, 'Domain decomposition algorithms for indefinite weakly singular integral equations: The h and p versions', IMA Journal of Numerical Analysis, 20, pp. 1 - 24, http://dx.doi.org/10.1093/imanum/20.1.1

Tran T; Stephan E, 2000, 'Additive Schwarz algorithms for the p version of the Galerkin boundary element method', American Journal of Science, pp. 433 - 468

Ainsworth M; Mclean W; Tran T, 2000, 'Diagonal scaling of stiffness matrices in the Galerkin boundary element method', Journal of Australian Mathematical Society B, pp. 141 - 150

Tran T; Maischak M; Stephan E, 2000, 'Multiplicative Schwarz algorithms for the Galerkin boundary element method', SIAM Journal on Numerical Analysis, pp. 1243 - 1268

Tran T, 2000, 'Overlapping additive Schwarz methods for first kind boundary integral equations', Journal of Integral Equations & Applications, 12, pp. 177 - 207

Ainsworth M; Mclean W; Tran T, 1999, 'The conditioning of boundary element equations on locally refined meshes and preconditioning by diagonal scaling', SIAM Journal on Numerical Analysis, 36, pp. 1901 - 1932, http://dx.doi.org/10.1137/S0036142997330809

Stephan E; Tran T, 1998, 'Domain decomposition algorithms for indefinite hypersingular integral equations: The h and p versions', SIAM journal of scientific computation, 19, pp. 1139 - 1153, http://dx.doi.org/10.1137/S1064827595296161

Heuer N; Stephan E; Tran T, 1998, 'Multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method', Mathematics of Computation, 67, pp. 501 - 518

Tran T; Sloan IH, 1998, 'Tolerant Qualocation A Qualocation Method for Boundary Integral Equations with Reduced Regularity Requirement', Journal of Integral Equations and Applications, 10, pp. 85 - 115

Tran T; Stephan E; Zaprianov S, 1998, 'Wavelet-based preconditioners for boundary integral equations', Advances in Computational Mathematics, 9, pp. 233 - 249

Tran T; Stephan EP; Mund P, 1997, 'Hierarchical basis preconditioners for first kind integral equations', Applicable Analysis, 65, pp. 353 - 372, http://dx.doi.org/10.1080/00036819708840566

Mclean W; Tran T, 1997, 'A preconditioning strategy of boundary element Galerkin methods', Numerical Methods for Partial Differential Equations, 13, pp. 283 - 301, http://dx.doi.org/10.1002/(SICI)1098-2426(199705)13:3<283::AID-NUM4>3.0.CO;2-J

Tran T; Stephan E, 1996, 'Additive Schwarz methods for the h-version boundary element method', Applicable Analysis, pp. 63 - 84

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