Publications

A fullspace quasi Lagrange NewtonKrylov algorithm for trajectory
optimization problems,,
with C.H. Wang, Y.S. Lo, and F.T. Hwang, Electronic Transactions on
Numerical Analysis, Vol. 49 (2018), pp. 103125.

An adaptive nonlinear elimination preconditioned inexact Newton
algorithm for highly local nonlinear multicomponent PDE systems,
with H. Yang, Applied Numerical Mathematics, 2018, in press.

An iteratively adaptive multiscale finite element method for elliptic
interface problems,
with Y.Z. Su and C.C. Yao, Applied Numerical Mathematics, Vol. 127
(2018), pp. 211225..

A parallel twolevel polynomial JacobiDavidson algorithm for large
sparse PDE eigenvalue problems,
with Y.F. Cheng, Advances in Engineering Software, Vol. 112 (2017), pp.
222230.

An iteratively adaptive multiscale finite element method for elliptic
PDEs with rough coefficients,
with T.Y. Hou, P. Liu, and C.C. Yao,
Journal of Computational Physics, Vol. 336 (2017), pp. 375400.

Simulation of blood flow in patientspecific cerebral arteries with a
domain decomposition method,
with W.S. Shiu, Z. Yan, J. Liu, R. Chen, X.C. Cai, Lecture Notes in Computational Science and
Engineering, Vol 116 (2017), 407415.

Nonlinear preconditioning techniques for fullspace
LagrangeNewton solution of PDEconstrained optimization problems,
with H. Yang and X.C. Cai,
SIAM on Scientific Computing, Vol. 38 (2016) pp. A2756A2778.

Parallel twolevel domain decomposition based JacobiDavidson algorithms
for pyramidal quantum dot simulation, with T. Zhao and X.C. Cai,
Computer Physics Communications, Vol. 204 (2016), pp. 7481.

A domain decomposition based JacobiDavidson algorithm for quantum dot simulation,
with T. Zhao and X.C. Cai, Lecture Notes in Computational Science and Engineering,
Vol. 104 (2016), pp. 415423

Parallel domain decomposition method for the finite element
approximation of 3D steady state nonNewtonian fluids, with W.S.
Shiu and X.C. Cai, International Journal for Numerical Methods in Fluids,
Vol. 78 (2015) pp. 502520.

Numerical simulation of dropletbased microfluidic chip interfacing
with laser desorption/ionisation mass spectrometry target substrate,
with C.W. Tsao and K.S. Chen, Nano & Micro Letters, Vol. 10
(2015) pp. 192197.

A parallel adaptive nonlinear elimination preconditioned inexact Newton
method for transonic full potential equation, with Y.C. Su and
X.C.
Cai, Computers & Fluids, Vol. 110 (2015) pp. 96107.

A parallel fully coupled
implicit domain decomposition method for numerical simulation of microfluidic
mixing in
3D, with X.C. Cai, Y.L. Chen, and C.W. Tsao,
International
Journal of Computer Mathematics, Vol. 90 (2013) pp. 615629.

Development of a parallel semiimplicit twodimensional plasma
fluid modeling code using
finitevolume method, with K.M. Lin, C.T. Hung, M. R. Smith,
Y.W. Yang, and J.S. Wu, Computer Physics
Communications, Vol. 183 (2012) pp. 12251236.

A parallel polynomial JacobiDavidson approach for dissipative
acoustic eigenvalue problems, with T.M. Huang, S.H. Lai, W. Wang,
Z.H. Wei, Computers & Fluids, Vol. 45 (2011) pp. 207214.

A parallel multilevel preconditioned iterative pressure Poisson solver for the
largeeddy simulation of
turbulent flow inside a duct, with H.W. Hsu, Z.H. Wei, S.H. Lai,
C.A. Lin,
Computers & Fluids, Vol. 45 (2011) pp. 138146.

Investigation of helium dielectric barrier discharge driven by a
realistic distortedsinusoidal voltage power source,
with C.T. Hung, Y.M. Chiu, M.H. Chiang, J.S. Wu, Y.C. Wang, S.H.
Chen, Plasma Chemistry and Plasma Processing, Vol. 31 (2011) pp. 121.

Development of a parallel implicit solver of fluid modeling equations
for gas discharges, with C.T. Hung, Y.M. Chiu, J.S. Wu, Computer
Physics Communications, Vol. 182 (2011), pp. 163165.

Onedimensional simulation of Nitrogen dielectric barrier discharge
driven by a quasipulsed power source and its comparison with
experiments, with K.W. Cheng,
C.T. Hung, M.H. Chiang, J.S. Wu, Computer Physics
Communications, Vol. 182 (2011), pp. 164166.

Effect of plasma chemistry on the simulation of Helium
atmosphericpressure plasma, with Y.M. Chiu, C.T. Hung,
M.H. Chiang, J.S, Wu, S.H. Chen, Computer Physics
Communications, Vol. 182 (2011), pp. 167169.

A parallel scalable PETScbased
JacobiDavidson polynomial eigensolver with application in quantum dot simulation
, with Z.H. Wei, T.M. Huang, W. Wang,
Lecture Notes in Computational Science and Engineering, Vol. 78 (2011),
pp. 157164.

Numerical simulation of threedimensional
blood flows using domain decomposition method on parallel computer,
with C.Y. Wu, X.C. Cai, the Journal of
the Chinese Society of Mechanical Engineers (Taiwan), Vol. 31 (2010),
pp. 199208.

Parallel pseudotransient NewtonKrylovSchwarz
continuation algorithms for bifurcation analysis of incompressible
sudden expansion flows, with C.Y. Huang,
Applied Numerical Mathematics, Vol. 60 (2010), pp. 738751.

Parallel NewtonKrylovSchwarz
algorithms for the threedimensional PoissonBoltzmann equation in
numerical simulation
of colloidal particle interactions, with S.R. Cai, Y.L. Shao,
J.S. Wu, Computer Physics Communication, Vol. 181
(2010), pp. 15291537

Twolevel nonlinear elimination based preconditioners for
inexact Newton methods with application in shocked duct
flow calculation, with H.L. Lin, X.C. Cai,
Electronic Transactions on Numerical Analysis, Vol. 37 (2010),
pp. 239251.

A parallel additive Schwarz preconditioned JacobiDavidson
algorithm for polynomial eigenvalue problems in quantum
dot simulation, with Z.H. Wei, T.M. Huang, W. Wang,
Journal of Computational Physics, Vol. 229 (2010), pp. 29322947.

A new paradigm for solving
plasma fluid modeling equations, with C.T. Hung, M.H. Hu, J.S.
Wu, Computer Physics Communications,
Vol. 177 (2007), pp. 138139.

A class of parallel twolevel nonlinear Schwarz preconditioned
inexact Newton algorithms, with X.C. Cai, Computer
Methods in Applied Mechanics and Engineering, Vol. 196 (2007), pp.
16031611.

Parallel fully coupled Schwarz preconditioners for
saddle point problems, with X.C. Cai, Electronic Transactions on
Numerical Analysis, Vol. 22 (2006), pp. 146162.

A combined linear and nonlinear preconditioning technique for
incompressible NavierStokes Equations, with X. C. Cai,
Lecture Notes in Computer Science, Vol. 3732 (2006), pp. 313322.

A parallel nonlinear additive Schwarz
preconditioned inexact Newton algorithm for incompressible
NavierStokes equations, with X. C. Cai. Journal
of Computational Physics, Vol. 204 (2005), pp. 666691.

Improving robustness and parallel scalability of
Newton method through nonlinear preconditioning, with X. C.
Cai. Lecture Notes in Computational Science and Engineering, Vol 40
(2005), pp. 201208.

Simulation of branching blood flows in parallel computers,
with X. Yue, R. Shandas, and X.C. Cai.
Biomedical Sciences Instrumentation, Vol. 40 (2004), pp. 325330.

Refining the submesh strategy in
the twolevel finite element method: application to the
advectiondiffusion equation, with L. P. Franca. International
Journal for Numerical Methods in Fluids, Vol. 39 (2002), pp. 161187.

Modeling molecular diffusion in soft tissues
using fluorescence microscopy, with J. Anderson, S. H. Kang, B.
Momken, R. Schugart, C. E. Torcaso. NCSUCRSC Tech
Report, CRSCTR0024 (2000), pp.7790.