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, 719745, (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, 14401461 (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, 82318258 (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, 11391200, (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, 756770 (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).