Archive of Published Papers

• On the reconstruction of dynamic permeability of cancellous bones
  (with Yen-Hsi Richard Tsai and Seong Jun Kim)
  ASCE Proceedings of the 5th BIOT Conference on Poromechanics, 2013
  PDF


• Lamb waves in a poroelastic plate
  (with R. Gilbert and Doo-Sung Lee)
  To appear in Journal of Computational Acoustics, 2013
  PDF


• High-Resolution Finite Volume Modeling of Wave Propagation in Orthotropic Poroelastic Media
  (with Grady Lemoine and Randall LeVeque)
  To appear in SIAM Journal on Scientific Computing, 2013
  PDF


• A Quantitative Ultrasound Model of Bone with Blood as the Interstitial Fluid
  (with R. Gilbert and P. Guyenne)
  in Mathematical and Computer Modelling, 55(9-10), pp. 2029--2039, 2012. PDF


• Computation of effective dielectric tensor of two-phase composites using boundary element method and micro-CT scans
  (with Sylvain Nintcheu Fata, Tsz-Kin Mak, Ming Xu and Curtis Kisielius)
  submitted to Computer Methods in Biomechanics and Biomedical Engineering, in revision PDF


• Two-parameter integral representation formula for the effective elastic moduli
  in Complex Variables and Elliptic Equations, 57(2-4), pp. 411-424, 2012. PDF


• Transfer functions for a one-dimensional fluid-poroelastic system subject to an ultrasonic pulse
  (with J. Buchanan and R. Gilbert)
  in Nonlinear analysis: Real World Applications, 13(3), pp. 1030-1043, 2012. PDF


• On nonstandard Pad\'{e} approximants suitable for effective properties of two-phase composite materials
  in Applicable Analysis}, 91(1), pp. 173-187, 2012. PDF


• Wavelet decomposition of transmitted ultrasound wave through a 1-D muscle-bone system
  (with J. Buchanan and R. Gilbert)
  in Journal of Biomechanics, 44(2), pp. 352-358, 2011. PDF


• Poroelastic Wave Propagation Using CLAWPACK
  (with G.I. Lemoine and R. J. LeVeque)
  in Proceedings of Waves2011 Conference, pp. 173-176, 2011. PDF


• Recovery of the parameters of cancellous bone by inversion of effective velocities, and transmission and reflection coefficients
  (with J. Buchanan and R. Gilbert )
  in Inverse Problems 27(12) 125006, 2011. PDF


• Fast multiresolution methods for density functional theory in nuclear physics
  (with G I Fann, J Pei, R J Harrison, J Jia, J. Hill, W.Nazarewicz, W A Shelton and N. Schunck)
  in Journal of Physics: Conference Series} 180, 012080, July 2009. PDF


• Dehomogenization: reconstruction of moments of the spectral measure of the composite
  (with E. Cherkaev)
  in Inverse Problems 065008, Vol.24(6), December 2008. PDF


• Isovector fields and similarity solutions for 1-D linear poroelasticity
  in Applicable Analysis 86(12), pp. 1509-1528, 2007. PDF


• On the representation formula for well-ordered elastic composites: a convergence of measure approach
  in Math. Methods in Applied Sciences 30, pp. 851-860, 2007. PDF


• Near Field Representations of the Acoustic Green’s Function in a Shallow Ocean with Fluid-like Seabed
  (with R. P. Gilbert)
  in Georgian Journal of Mathematics, special issue for Fichera’s 85th birthday, Vol.14(1):109-122, 2007. PDF


• On the integral representation formula for a two-component composite
  (with E. Cherkaev)
  in Mathematical Methods in the Applied Sciences, 29(6), pp. 655-664, 2006. PDF


• Acoustic Wave Propagation in a Composite of Two Different Poro-elastic Materials with a Very Rough Periodic Interface: a Homogenization Approach
  (with R. P. Gilbert)
  in Intl. J. for Multiscale Computational Engineering, 1(4), pp. 431-440, 2003. PDF     PDF2


• A Uniqueness Theorem of the 3-dimensional Acoustic Scattering Problem in a Two-layered Waveguide with a Fluid-like Seabed
  (with R. P. Gilbert)
  in Journal of Computational Acoustics, 11(4), pp. 535-549, December 2003. PDF


• The unknown object problem in a sea with sloping bottom
  (with R. P. Gilbert and Yongzhi, S.)
  in Applicable Analysis, 78(3-4), pp. 497--511, 2001. PDF


• The Seamount on a Sloping Seabed Problem
  (with R. P. Gilbert and Yongzhi, S. )
  in Differential Equations and Nonlinear Mechanics, Springer series on Mathematics and Its Applications Vol. 528, Chap.9, pp. 101-112, 2001, Springer, Ed. Vajravelu, Kuppalapalle. PDF


• The Bivariate Contouring Problem
  (with T. Grandine, B. Craciun, N. Heitmann, B. Ingalls, Q. LeGia, and Y. R. Tsai )
  in IMA Preprint Series}, No. 1752-3, 12 pages, 2001. PDF


• Implementation of The Method of Variation of Boundaries for Three-dimensional Objects in a Waveguide
  (with J.L. Buchanan and R.P. Gilbert)
  in Mathematical and Numerical Aspects of Wave Propagation, 5th International Conference on Mathematical and Numerical Aspects of Wave Propagation, SIAM, pp. 482-488, 2000. PDF