Publications

• A full-space quasi Lagrange- Newton-Krylov 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. 103--125.

• 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. 211-225..

• A parallel two-level polynomial Jacobi-Davidson algorithm for large sparse PDE eigenvalue problems, with Y.-F. Cheng, Advances in Engineering Software, Vol. 112 (2017), pp. 222--230.

• An iteratively adaptive multi-scale 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. 375-400.

• Simulation of blood flow in patient-specific 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), 407-415.

• Nonlinear preconditioning techniques for full-space Lagrange-Newton solution of PDE-constrained optimization problems, with H. Yang and X.-C. Cai, SIAM on Scientific Computing, Vol. 38 (2016) pp. A2756-A2778.

• Parallel two-level domain decomposition based Jacobi-Davidson algorithms for pyramidal quantum dot simulation, with T. Zhao and X.-C. Cai, Computer Physics Communications, Vol. 204 (2016), pp. 74-81.

• A domain decomposition based Jacobi-Davidson algorithm for quantum dot simulation, with T. Zhao and X.-C. Cai, Lecture Notes in Computational Science and Engineering, Vol. 104 (2016), pp. 415-423

• Parallel domain decomposition method for the finite element approximation of 3D steady state non-Newtonian fluids, with W.-S. Shiu and X.-C. Cai, International Journal for Numerical Methods in Fluids, Vol. 78 (2015) pp. 502-520.

• Numerical simulation of droplet-based 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. 192-197.

• 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. 96-107.

• 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. 615-629.

• Development of a parallel semi-implicit two-dimensional plasma fluid modeling code using finite-volume 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. 1225-1236.

• A parallel polynomial Jacobi-Davidson approach for dissipative acoustic eigenvalue problems, with T.-M. Huang, S.-H. Lai, W. Wang, Z.-H. Wei, Computers & Fluids, Vol. 45 (2011) pp. 207-214.

• A parallel multilevel preconditioned iterative pressure Poisson solver for the large-eddy 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. 138-146.

• Investigation of helium dielectric barrier discharge driven by a realistic distorted-sinusoidal 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. 1-21.

• 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. 163-165.

• One-dimensional simulation of Nitrogen dielectric barrier discharge driven by a quasi-pulsed 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. 164-166.

• Effect of plasma chemistry on the simulation of Helium atmospheric-pressure plasma, with Y.-M. Chiu, C.-T. Hung, M.-H. Chiang, J.-S, Wu, S.-H. Chen, Computer Physics Communications, Vol. 182 (2011), pp. 167-169.

• A parallel scalable PETSc-based Jacobi-Davidson 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. 157-164.

• Numerical simulation of three-dimensional 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. 199-208.

• Parallel pseudo-transient Newton-Krylov-Schwarz continuation algorithms for bifurcation analysis of incompressible sudden expansion flows, with C.-Y. Huang, Applied Numerical Mathematics, Vol. 60 (2010), pp. 738-751.

• Parallel Newton-Krylov-Schwarz algorithms for the three-dimensional Poisson-Boltzmann 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. 1529-1537

• Two-level 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. 239-251.

• A parallel additive Schwarz preconditioned Jacobi-Davidson 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. 2932-2947.

• 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. 138-139.

• A class of parallel two-level nonlinear Schwarz preconditioned inexact Newton algorithms, with X.-C. Cai, Computer Methods in Applied Mechanics and Engineering, Vol. 196 (2007), pp. 1603-1611.

• Parallel fully coupled Schwarz preconditioners for saddle point problems, with X.-C. Cai, Electronic Transactions on Numerical Analysis, Vol. 22 (2006), pp. 146-162.

• A combined linear and nonlinear preconditioning technique for incompressible Navier-Stokes Equations, with X. -C. Cai, Lecture Notes in Computer Science, Vol. 3732 (2006), pp. 313-322.

• A parallel nonlinear additive Schwarz preconditioned inexact Newton algorithm for incompressible Navier-Stokes equations, with X. -C. Cai. Journal of Computational Physics, Vol. 204 (2005), pp. 666-691.

• 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. 201-208.

• Simulation of branching blood flows in parallel computers, with X. Yue, R. Shandas, and X.-C. Cai. Biomedical Sciences Instrumentation, Vol. 40 (2004), pp. 325-330.

• Refining the submesh strategy in the two-level finite element method: application to the advection-diffusion equation, with L. P. Franca. International Journal for Numerical Methods in Fluids, Vol. 39 (2002), pp. 161-187.

• Modeling molecular diffusion in soft tissues using fluorescence microscopy, with J. Anderson, S. H. Kang, B. Momken, R. Schugart, C. E. Torcaso. NCSU-CRSC Tech Report, CRSC-TR00-24 (2000), pp.77-90.