The effects of variable permeability on the resistance to flow through the trabecular meshwork of the eye.
Using the higher-order finite elements and the spectral element methods to predict particle deposition in the human airways
The modeling of biological systems in which
there is a mechanical coupling between a moving fluid and
tissues. Specifically, the interaction between the aqueous humor
and the iris in the eye, and the mechanical interaction between blood
and compliant vessel walls.
Using a first-order system least-squares (FOSLS) and algebraic multigrid (AMG) to solve the Navier-Stokes equations.
I've developed a parallel, least-squares finite element
code that uses higher-order finite elements
and
"hypre" by LLNL to solve the linear system.
De Sterck, H., U. M. Yang, and J.J. Heys, "Reducing Complexity in Parallel Algebraic Multigrid Preconditioners." SIAM J. Matrix Anal., accepted
Heys, J.J.,
C.G. DeGroff,
T.A. Manteuffel, and S.F. McCormick, “First-Order System Least
Squares (FOSLS) for Modeling Blood Flow.” Medical Eng. & Physics,accepted
DeSterck, H., U.M. Yang,
and J.J. Heys, “Reducing Complexity in Parallel Algebraic Multigrid
Preconditioners.” submitted
Heys,
J.J., T.A. Manteuffel, S.F. McCormick, and L.N. Olson, (2005) “Algebraic
Multigrid (AMG) for Higher-Order Finite Elements.” J. Comp.
Physics, 204: 520-532
Heys, J.J., T.A.
Manteuffel, S.F. McCormick, and J.W. Ruge, (2004) “First-Order
System Least Squares (FOSLS) for Coupled Fluid-Elastic Problems.” J.
Comp. Physics, 195(2):
560-575
Heys, J.J., C.G. DeGroff, W.W. Orlando, T.M. Manteuffel, and S.F.
McCormick, (2002) “First-order system least squares for
elastohydrodynamics
with application to flow in compliant blood vessels.” Biomed. Sci.
Instr.,
38:277-282.
Heys, J.J. and V.H. Barocas, (2002), "A Boussinesq Model of
Natural Convection in the Human Eye and the Formation of Krukenberg's
Spindle.", Ann. Biomed. Eng., 30:392-401.
Heys, J.J. and V.H. Barocas, (2002), "Computational Evaluation of
the Role of Accommodation in Pigmentary Glaucoma.", Inv. Opthalmol.
Vis. Sci., 43(3): 700-708.
Heys, J., V.H. Barocas, and M.J. Taravella (2001), "Modeling
Passive Mechanical Interaction between the Aqueous Humor and Iris." J.
Biomech. E., 123(6): 540-547.
Xu, J., J.J. Heys, V. H. Barocas, and T.W. Randolph (1999),
"Permeability and Diffusion in Vitreous Humor: Implications for Drug
Delivery." Pharmaceut. Res., 17(6): 664-669.
Heys, J. and V.H. Barocas (1998), "Mechanical Characterization
of the Bovine Iris." J. Biomech. 32: 999-1003.
