Select Publications

Book Chapters

Stephan EP; Tran T, 2021, 'A Fully Discrete Method', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 143 - 151, http://dx.doi.org/10.1007/978-3-030-79283-1_7

Stephan EP; Tran T, 2021, 'Additive Schwarz Methods for the hp-Version', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 127 - 141, http://dx.doi.org/10.1007/978-3-030-79283-1_6

Stephan EP; Tran T, 2021, 'Diagonal Scaling Preconditioner and Locally-Refined Meshes', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 277 - 305, http://dx.doi.org/10.1007/978-3-030-79283-1_12

Stephan EP; Tran T, 2021, 'FEM–BEM Coupling', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 331 - 366, http://dx.doi.org/10.1007/978-3-030-79283-1_14

Stephan EP; Tran T, 2021, 'General Framework of Preconditioners', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 13 - 69, http://dx.doi.org/10.1007/978-3-030-79283-1_2

Stephan EP; Tran T, 2021, 'Implementation Issues and Numerical Experiments', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 175 - 202, http://dx.doi.org/10.1007/978-3-030-79283-1_9

Stephan EP; Tran T, 2021, 'Indefinite Problems', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 153 - 174, http://dx.doi.org/10.1007/978-3-030-79283-1_8

Stephan EP; Tran T, 2021, 'Introduction', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 3 - 11, http://dx.doi.org/10.1007/978-3-030-79283-1_1

Stephan EP; Tran T, 2021, 'Multilevel Methods: The h-Version', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 117 - 126, http://dx.doi.org/10.1007/978-3-030-79283-1_5

Stephan EP; Tran T, 2021, 'Multilevel Preconditioners with Adaptive Mesh Refinements', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 307 - 328, http://dx.doi.org/10.1007/978-3-030-79283-1_13

Stephan EP; Tran T, 2021, 'Pseudo-differential Equations with Radial Basis Functions', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 399 - 421, http://dx.doi.org/10.1007/978-3-030-79283-1_16

Stephan EP; Tran T, 2021, 'Pseudo-differential Equations with Spherical Splines', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 369 - 398, http://dx.doi.org/10.1007/978-3-030-79283-1_15

Stephan EP; Tran T, 2021, 'Two-Level Methods: The h-Version', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 73 - 98, http://dx.doi.org/10.1007/978-3-030-79283-1_3

Stephan EP; Tran T, 2021, 'Two-Level Methods: The hp-Version on Rectangular Elements', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 205 - 241, http://dx.doi.org/10.1007/978-3-030-79283-1_10

Stephan EP; Tran T, 2021, 'Two-Level Methods: The Hp-Version on Triangular Elements', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 243 - 276, http://dx.doi.org/10.1007/978-3-030-79283-1_11

Stephan EP; Tran T, 2021, 'Two-Level Methods: The p-Version', in Schwarz Methods and Multilevel Preconditioners for Boundary Element Methods, Springer International Publishing, pp. 99 - 115, http://dx.doi.org/10.1007/978-3-030-79283-1_4

Tran T, 2018, 'Ian Sloan's legacy in integral equation methods', in Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan, pp. 1127 - 1145, http://dx.doi.org/10.1007/978-3-319-72456-0_52

Stephan EP; Tran T; Costea A, 2010, 'A boundary integral equation on the sphere for high-precision geodesy', in Kuczma M; Wilmanski K (ed.), Computer Methods in Mechanics, edn. 1, Springer-Verlag, Berlin and Heidelberg, pp. 99 - 110

Maischak M; Stephan EP; Tran T, 2008, 'Domain decomposition algorithms for an indefinite hyper-singular integral equation in three dimensions', in Langer U; Discacciati M; Keyes DE; Widlund O; Zulehner W (ed.), Domain Decomposition Methods in Science and Engineering XVII, Springer, pp. 647 - 655

Journal articles

An X; Majee AK; Prohl A; Tran T, 2022, 'Optimal control for a coupled spin-polarized current and magnetization system', Advances in Computational Mathematics, vol. 48, http://dx.doi.org/10.1007/s10444-022-09947-1

Hausenblas E; Mukherjee D; Tran T, 2022, 'The one-dimensional stochastic Keller–Segel model with time-homogeneous spatial Wiener processes', Journal of Differential Equations, vol. 310, pp. 506 - 554, http://dx.doi.org/10.1016/j.jde.2021.10.056

Tran T, 2021, 'Remarks on Sobolev norms of fractional orders', Journal of Mathematical Analysis and Applications, vol. 498, pp. 124960 - 124960, http://dx.doi.org/10.1016/j.jmaa.2021.124960

Pham DT; Tran T, 2020, 'A parabolic equation on domains with random boundaries', , http://arxiv.org/abs/2009.13997v1

Mukherjee D; Tran T, 2020, 'A Shape calculus approach for time harmonic solid-fluid interaction problem in stochastic domains', , http://arxiv.org/abs/2009.13783v1

Hausenblas E; Mukherjee D; Tran T, 2020, 'The one-dimensional stochastic Keller--Segel model with time-homogeneous spatial Wiener processes', , http://arxiv.org/abs/2009.13789v1

Shafie S; Tran T, 2020, 'Numerical studies: Adaptive mixed finite element schemes for Benjamin-bona-mahony and burgers equations', International Journal of Engineering Trends and Technology, pp. 63 - 69, http://dx.doi.org/10.14445/22315381/CATI1P211

Pham DT; Tran T; Dinh D; Chernov A, 2020, 'Exterior Dirichlet and Neumann Problems in Domains with Random Boundaries', Bulletin of the Malaysian Mathematical Sciences Society, vol. 43, pp. 1311 - 1342, http://dx.doi.org/10.1007/s40840-019-00741-9

Márquez A; Meddahi S; Tran T, 2018, 'Frequency-explicit asymptotic error estimates for a stress-pressure formulation of a time harmonic fluid-solid interaction problem', Computers and Mathematics with Applications, vol. 76, pp. 2090 - 2109, http://dx.doi.org/10.1016/j.camwa.2018.08.006

Tuan NH; Long LD; Nguyen VT; Tran T, 2017, 'On a final value problem for the time-fractional diffusion equation with inhomogeneous source', Inverse Problems in Science and Engineering, vol. 25, pp. 1367 - 1395, http://dx.doi.org/10.1080/17415977.2016.1259316

Feischl M; Tran T, 2017, 'Existence of regular solutions of the landau-lifshitz-gilbert equation in 3d with natural boundary conditions', SIAM Journal on Mathematical Analysis, vol. 49, pp. 4470 - 4490, http://dx.doi.org/10.1137/16M1103427

Tuan NH; Khoa VA; Minh MN; Tran T, 2017, 'Reconstruction of the electric field of the Helmholtz equation in three dimensions', Journal of Computational and Applied Mathematics, vol. 309, pp. 56 - 78, http://dx.doi.org/10.1016/j.cam.2016.05.021

Feischl M; Tran T, 2017, 'The eddy current-LLG equations: Fem-Bem coupling and a priori error estimates', SIAM Journal on Numerical Analysis, vol. 55, pp. 1786 - 1819, http://dx.doi.org/10.1137/16M1065161

Feischl M; Tran T, 2016, 'The Eddy Current-LLG Equations-Part I: FEM-BEM Coupling', , http://arxiv.org/abs/1602.00744v1

Goldys B; Le KN; Tran T, 2016, 'A finite element approximation for the stochastic Landau-Lifshitz-Gilbert equation', Journal of Differential Equations, vol. 260, pp. 937 - 970, http://dx.doi.org/10.1016/j.jde.2015.09.012

Pham DT; Tran T, 2015, 'Solving non-strongly elliptic pseudodifferential equations on a sphere using radial basis functions', Computers and Mathematics with Applications, vol. 70, pp. 1970 - 1983, http://dx.doi.org/10.1016/j.camwa.2015.08.018

Tuan NH; Thang LD; Khoa VA; Tran T, 2015, 'On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions', Journal of Mathematical Analysis and Applications, vol. 426, pp. 1232 - 1261, http://dx.doi.org/10.1016/j.jmaa.2014.12.047

Le KN; Page M; Praetorius D; Tran T, 2015, 'On a decoupled linear FEM integrator for eddy-current-LLG', Applicable Analysis, vol. 94, pp. 1051 - 1067, http://dx.doi.org/10.1080/00036811.2014.916401

Tregubov I; Tran T, 2015, 'A Galerkin method with spherical splines for the shallow water equations on a sphere: error analysis', Numerische Mathematik, vol. 129, pp. 783 - 814, http://dx.doi.org/10.1007/s00211-014-0654-9

Márquez A; Meddahi S; Tran T, 2015, 'Analyses of mixed continuous and discontinuous galerkin methods for the time harmonic elasticity problem with reduced symmetry', SIAM Journal on Scientific Computing, vol. 37, pp. A1909 - A1933, http://dx.doi.org/10.1137/14099022X

Chernov A; Pham D; Tran T, 2015, 'A shape calculus based method for a transmission problem with a random interface', Computers and Mathematics with Applications, http://dx.doi.org/10.1016/j.camwa.2015.06.021

Nguyen VT; Nguyen HT; Tran TB; Vo AK, 2015, 'On an inverse problem in the parabolic equation arising from groundwater pollution problem', Boundary Value Problems, vol. 2015, http://dx.doi.org/10.1186/s13661-015-0319-3

Pham TD; Tran T, 2014, 'Strongly elliptic pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, vol. 128, pp. 589 - 614, http://dx.doi.org/10.1007/s00211-014-0614-4

Márquez A; Meddahi S; Tran T, 2014, 'A mixed discontinuous Galerkin method for the time harmonic elasticity problem with reduced symmetry', , http://arxiv.org/abs/1410.1195v1

Tuan NH; Thang LD; Khoa VA; Tran T, 2014, 'On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions', Journal of Mathematical Analysis and Applications, http://dx.doi.org/10.1016/j.jmaa.2014.12.047

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, 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, 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, vol. 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, vol. 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, vol. 66, pp. 1389 - 1402, http://dx.doi.org/10.1016/j.camwa.2013.08.009


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