High order matched interface and boundary (MIB) and applications

 

(221) David Bramer, Kelin Xia, Shan Zhao  and G. W. Wei, Matched interface and boundary method for solving 3D parabolic equations with irregular material interfaces (2016).

Chemistry Account, accepted (2017).

 

(208) Yin Cao, Bao Wang, Kelin Xia and Guo-Wei Wei, Finite volume formulation of the MIB method for elliptic interface problems, Journal of Computational and Applied Mathematics, 321, 60-77 (2017).

 

(207) Duc D Nguyen, Bao Wang and Guo-Wei Wei, Accurate,  robust and  reliable  calculations of Poisson-Boltzmann binding energies,  Journal of Computational Chemistry, 38,  941-948 (2017).

 

(189) Park, Kelin Xia and G.W. Wei,  Atomic scale design and three-dimensional simulations of nanofluidic systems, Microfluidics and Nanofluidics,  19, 665-692 (2015).

 

(186) Bao Wang, Kelin  Xia and   Guo-Wei  Wei,  Matched interface and boundary method for  3D elastic interface problems,  Journal  of  Computational  Physics,  294, 405-438  (2015).

 

(184)  Langhua    Hu,  Duan  Chen  and  Guo-Wei  Wei,    Geometric    and    phonon  effects    on    nano    transistors,  Journal  of    Computational  Physics,  290, 169-187  (2015).

 

(183) Bao Wang, Kelin  Xia and   Guo-Wei  Wei,  Matched interface and boundary method for irregular elastic interface problems, Journal of Computational and Applied Mathematics, 285, 203-225 (2015).

 

(181) Langhua    Hu,  Siyang Yang and  Guo-Wei  Wei,    Simulation of inviscid compressible flows using PDE transform.   Commun. Comput. Phys., 16, 1201-1238  (2014).

 

(180) Kelin  Xia and   Guo-Wei  Wei,  A  Galerkin formulation of the MIB method for three dimensional elliptic interface problems,  Computers and Mathematics with Applications, 68, 719–745, (2014).

 

(179)   Kelin  Xia,    Meng  Zhan,    and    Guo-Wei   Wei,  MIB  Galerkin  method  for  elliptic  interface  problems,  Journal of Computational and Applied Mathematics,  272. 195-220 (2014).

 

(170)  L.  Mu,  J. P. Wang,  G. W.  Wei,  X. Ye  and  S. Zhao,  Weak  Galerkin  methods  for  second  order  elliptic  interface  problems,  Journal of Computational Physics, 250, 106-125 (2013).

 

(167) Jinkyoung Park and G.W. Wei,  A molecular level  prototype for  mechanoelectrical  transducers in  mammalian   hair cells, Journal of Computational Neuroscience, 35, 231-241, (2013).

 

(164) Duan  Chen  and  Guo-Wei  Wei,    Quantum    dynamics    in    continuum    models  for  proton    transport  I:  Basic  formulation,    Communication  in  Computational  Physics,  13,  285-324 (2013)

 

(159)  Duan  Chen  and  Guo-Wei    Wei,    Quantum    dynamics    in    continuum    models    for    proton    transport  ---    Generalized  correlation, Journal of Chemical Physics,  136,  134109  (2012)

 

(158)  Guo-Wei    Wei,    Qiong  Zheng,    Zhan  Chen,  and Kelin   Xia, Variational    multiscale    models  for  charge  transport, SIAM Review. 54(4), 699-754 (2012)

 

(155)  Duan  Chen,    Zhan    Chen    and  Guo-Wei    Wei,    Quantum    dynamics    in    continuum    models    for    proton    transport    II:    Variational    solvent-solute      interface,    International  Journal  for  Numerical    Methods  in  Biomedical  Engineering,   28, 25-51 (2012)

 

(151)    Kelin  Xia,    Meng  Zhan,    Decheng    Wan  and    Guo-Wei    Wei,    Adaptively  deformed  mesh  based    matched    interface    and    boundary    (MIB)    method    for    elliptic  interface  problems,  Journal  of    Computational  Physics, 231, 1440–1461 (2012).

 

(150)  Zhan    Chen    and  G.  W.    Wei,    Differential    geometry    based    salvation    model    III:    Quantum    formulation,    Journal  of    Chemical    Physics, 135, 194108 (2011).

 

(149)  Qiong  Zheng    and  Guo-Wei    Wei,    Poisson-Boltzmann-Nernst-Planck      model.    Journal  of    Chemical    Physics,  134  (19),  194101,    (2011)    (It    was    the  most  downloaded  in  JCP  in  May    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  ,    230,  8231–8258  (2011)

 

 (146)  Qiong  Zheng,    Duan    Chen  and  Guo-Wei    Wei,    Second-order    Poisson-Nernst-Planck    solver    for    ion    transport.  Journal  of    Computational    Physics,  230,  5239-5262  (2011)

 

  (145)  Zhan    Chen,    Nathan    Baker    and  G.  W.    Wei,    Differential    geometry    based    salvation    model    II:    Lagrangian    formulation  (62  pages),    Journal    of    Mathematical    Biology,      63,  1139–1200,    (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 central finite differences,  Int.  J. Numer. Meth. Engng.  77, 1690-1730   (2009)

 

(133) Duan Chen, G.W. Wei, X. Cong and Ge Wang,  Computational methods for optical molecular 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 analysis of 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 and G.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 in continuum 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. Feig and G. W. Wei,   High order matched interface and boundary (MIB) schemes for elliptic equations with discontinuous coefficients and singular sources,  J. Comput. Phys. ,  213,  1-30,  (2006).

 

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

 

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

 

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