High order matched interface and boundary (MIB) andApplications

Reprints(Peer-refereed journal papers):

(160) Langhua Hu, Duan Chen and Guo-Wei Wei,  Geometry and phonon effects  on nano transistors and  sensors. (2011).

(159) Duan Chen,  Zhan Chen and Guo-Wei Wei, Quantum dynamics  in continuum models  for proton transport  II: Variational interface. (2011)

(156) Qiong Zheng,  Zhan Chen and Guo-Wei Wei, Differential  geometry based ion  transport models I:  Basic formulation. (2011)

(153) Kelin Xia, Meng Zhan, Decheng Wan and Guo-Wei  Wei, Move-mesh based matched  interface and boundary  (MIB) method for  elliptic interface problems.  (2011)

(151) Zhan Chen and G. W.  Wei, Differential  geometry based salvation  model III: Quantum  formulation (35 pages). (2011).

(150) Duan Chen and Guo-Wei Wei, Quantum  dynamics in continuum  models for proton  transport I: Basic formulation,  (2011)

(149) Qiong Zheng and Guo-Wei  Wei, Poisson-Boltzmann-Nernst-Planck model for   ion  channels. Journal of  Chemical Physics, accepted (2011)

(148) Kelin Xia, Meng Zhan and Guo-Wei Wei,  The matched interface  and boundary (MIB) method   for multi-domain elliptic interface  problems. Journal of Computational Physics, available online   (2011)

(146) Qiong Zheng, Duan  Chen and Guo-Wei  Wei, Second-order Poisson-Nernst-Planck solver for ion  transport. Journal of Computational  Physics, available online   (2011)

(145) Zhan Chen,  Nathan Baker and G. W.  Wei, Differential  geometry based salvation  model II: Lagrangian  formulation (62 pages),  Journal of Mathematical  Biology, available online (2011).

(144) Weihua Geng  and G.W. Wei, Multiscale molecular dynamics  via the matched  interface and boundary  (MIB) method, Journal of  Computational Physics, 230, 435-457   (2011).

(143) Duan Chen,  Zhan Chen, Changjun Chen, Weihua Geng and Guo-Wei  Wei, MIBPB: A software package for electrostatic analysis,  Journal of Computational Chemistry,  32, 756–770  (2011).

(140) Duan Chen and Guo-Wei Wei,    Modeling and simulation  of nano-electronic devices, Journal of Computational  Physics, 229, 4431-4460, (2010).

(134) Shan Zhao and G.W. Wei, Matched interface and boundary(MIB) for the implementation of boundary conditions in high order centralfinite differences, Int.  J. Numer. Meth. Engng.  77, 1690-1730   (2009)

(133) Duan Chen, G.W. Wei, X. Congand Ge Wang, Computational methods for opticalmolecular imaging, Commun. Numer. Methods Engng, 25, 1137-1161(2008).

(132) S.N. Yu, Y. Xiang and G.W. Wei, Matched interface and boundary (MIB) method for the vibration analysisof plates, Commun. Numer. Methods Engng, 25, 923-950 (2009).

(131)S.N. Yu and G.W. Wei, Three dimensional matched interface and boundary (MIB)method for geometric singularities, J. Comput.Phys. 227, 602-632 (2007).

(130) W.H. Geng, S.N. Yu and G.W.Wei, Treatment of charge singularities in implicit solvent models, J. Chem.Phys., 127, 114106 (20 pages) (2007).

(128) S. N. Yu, W. H. Geng andG.W. Wei, Treatment of geometric singularities in implicit solvent models,J. Chem. Phys., 126, 244108 (13 pages) (2007).

(127) Y.C. Zhou, M. Feig and G.W. Wei,Highly accurate biomolecular electrostatics incontinuum dielectric environments, J. Comput. Chem. in press (2007).

(125) S. N. Yu, Y. C. Zhou and G. W. Wei,  Matched interface and  boundary (MIB) method for  elliptic problems with sharp-edged  interfaces, J. Comput.Phys. 224, 729-756 (2007).

(122) Y.C. Zhou and G.W. Wei, On the  fictitious-domain  and interpolation formulations  of the matched   interface and boundary (MIB)  method, J. Comput. Phys. 219, 228-246 (2006).

(117) Y.C. Zhou, S. Zhao, M. Feigand G. W. Wei,  High order matched interface and boundary(MIB) schemes for elliptic equations with discontinuous coefficients andsingular sources, J.Comput. Phys. ,  213, 1-30, (2006).

(111) S. Zhao, G.W. Wei and Y. Xiang, DSCanalysis of free-edged beams by aniteratively matched boundary method, J.Sound Vibr., 284, 487-493 (2005).

(107) S. Zhao and G.W. Wei, Tensor product derivativematching for wave propagation in inhomogeneous media, Microwave Optical Techn. Lett., 43(1), 69-77 (2004).

(105) S. Zhao and G.W. Wei, High orderFDTD methods via derivative matching for Maxwell's equations with materialinterfaces, J. Comput.  Phys., 200, 60-103,  (2004).