14. L. Gao and V.M. Calo,
“Isogeometric spectral element method. Methodology." Submitted 2014.

13. P. Vignal, L. Dalcin,
D.L. Brown, N. Collier, and V.M. Calo, “Energy-stable time discretizations for
the phase-field crystal equation," submitted, 2014.

12. N. Moreno, S. Nunes,
and V.M. Calo, “Consistent model reduction of chain models in dissipative particle
dynamics," submitted, 2014.

11. M. Alotaibi, V.M.
Calo, Y. Efendiev, and M. Ghommem, ‘Global-Local Nonlinear Model Reduction for Flows in
Heterogeneous Porous Media," submitted, 2014.

10. N. Collier, L.
Dalcin, and V.M. Calo,”On the Computational Efficiency of Isogeometric
Methods,"submitted, 2014.

9. D. Pardo, J.
_Alvarez-Aramberri, M. Paszynski, L. Dalcin, and V.M. Calo, “Impact of Element-Level
Static Condensation on Iterative-Solver Performance," submitted 2013.

8. L. Gao and V.M. Calo, “Alternating-Direction-Implicit
Preconditioners for the Di_usion Equationin 2D with heterogeneous coeficients,"
submitted 2013.

7. M. Abdelkader, M.
Shaqura, N.O. Collier, V.M. Calo, C.G. Claudel, and W. Gueaieb, “Lagrangian flash-flood
monitoring and forecast using microsensors equipped UAVs," submitted,
2013.

6. K. Kuznik, M. Wozniak,
M. Paszynski, V.M Calo. and D. Pardo, “Multi-frontal solvers for IGA discretizations
in GPUs," submitted 2013.

5. V.M. Calo, Y. Efendiev,
J. Galvis, and M. Ghommem, “Multiscale Empirical Interpolation for Solving Nonlinear PDEs
using Generalized Multiscale Finite Element Methods," submitted, 2013.

4. H. AbouEisha, M.
Moshkhov, M. Paszynski, P. Gurgul, N. Collier, and V.M. Calo, “Optimal elimination trees for 2D
finite element meshes with point singularities," submitted, 2013.

3. N. Collier, L. Dalcin,
and V.M. Calo, “PetIGA: High-Performance Isogeometric Analysis,"
submitted,2013.

2. M. Ghommem and V.M.
Calo, “Enclosure Effects on Flight Performance," submitted, 2013.

1. M.R. Paszynski, K.
Kuznik, and V.M. Calo, “Grammar-Based Multi-Frontal Solver for Isogeometric Analysis
in one and two spatial dimensions," submitted, 2011

**Refereed Archival Journals**

52. J. Li, P. Vignal, S.
Sun, and V.M. Calo, “An Analysis of the Monte Carlo Molecular Simulation:
Stochastic Error and Computational efficiency," Com. Comp. Physics, in
press, 2014.

51. L. Gao and V.M. Calo,
“Fast Isogeometric Solvers for Explicit Dynamics," Comp. Methods App. Mech.
Eng., doi:10.1016/j.cma.2014.01.023, 2014.

50. M. Ghommem and V.M. Calo, "Flapping Wings in Line Formation Flight: a Computational Analysis," The Aeronautical Journal, accepted for publication, 2013.

49. M. Ghommem, N. Collier, A.H. Niemi, and V.M. Calo, “On the Shape Optimization of Flapping Wings and their Performance Analysis," Aerospace Science and Technology, in press, 2013.

48. J. Li and V.M. Calo,“Phase-coexistence Simulations of Fluid Mixtures by the Markov Chain Monte Carlo Method Using Single-Particle Models," Journal of Computational Physics, 249, pp.233-248, 2013.

47. M. Ghommem, V.M Calo, and C.G Claudel, “Micro-cantilever flow sensor for small aircraft," Journal of Vibration and Control, doi:10.1177/1077546313505636, 2013.

46. M. Ghommem, V.M. Calo, and Y. Efendiev, “Mode Decomposition Methods for Flows in High-Contrast Porous Media. A Global Approach," Journal of Computational Physics, 257(A), pp.400-413, 2014.

45. E. Choi, E. Tan, L.L. Lavier, and V.M. Calo, “DynEarthSol2D: An efficient unstructured finite element method to study long-term tectonic deformation," J. Geophys. Res. Solid Earth, 118, pp.2429-2444, 2013.

44. D.S. Marques, U. Vainio, N.M. Chaparro, V.M. Calo, A.R. Bezahd, J.W. Pitera, K.-V. Peinemann, and S.P. Nunes,“Self-assembly in casting solutions of block copolymer membranes," Soft Matter (back-cover image), 9(23), pp.5557-5564, 2013.

43. V.M. Calo, N.O.
Collier, and A.H. Niemi, “Analysis of the Discontinuous Petrov-Galerkin Method
with Optimal Test Functions for the Reissner Mindlin Plate Bending Model,"
Computers and Mathematics with Applications, 66( 2), pp. 2570{2586, 2014

42. M. Ghommem, M. Presho, V.M. Calo, and Y. Efendiev, “Mode Decomposition Methods for Flows in High-Contrast Porous Media. Global-Local Approach," Journal of Computational Physics, 253, pp.226-238, 2013.

41.M.R. Paszynski, K.
Cetnarowicz, R. Schaefer, D. Pardo, V.M. Calo, “Agent-Based Simulations, Adaptive
Algorithms, ICCS 2011 Workshop (Editorial)," J. Comp. Science, 4(3), pp.
125-126, 2013.

40. M. Paszynski, D. Pardo, and V.M. Calo, “A direct solver with reutilization of LU factorization for h-adaptive finite element grids with point singularities," Computers and Mathematics with Applications, 65(8), pp.1140{1151, 2013.

39. N.O. Collier, L.A. Dalcin, D. Pardo, and V.M. Calo, “The cost of continuity: performance of iterative solvers on isogeometric _nite elements," SIAM Journal on Scienti_c Computing (SISC), 35(2), pp.A767-A784, 2013.

38. V.M. Calo, Y. Efendiev, and J. Galvis, “Asymptotic expansions for high-contrast elliptic equations," Mathematical Models and Methods in Applied Sciences (M3AS), doi:10.1142”S0218202513500565, 2013.

37. A.H. Niemi, N.O. Collier, and V.M. Calo, “Automatically Stable Discontinuous Petrov-Galerkin Methods for Stationary Transport Problems: Quasi-Optimal Test Space Norm," Computers and Mathematics with Applications, 66(10), pp.2096-2113, 2013.

36. H.G. Radwan, P. Vignal, N. Collier, L. Dalcin, M. Santillana, and V.M. Calo, " Convergence rates for diffusive shallow water equations (DSW) using higher order polynomials," Journal of the Serbian Society for Computational Mechanics, 6(1), 2012.

35. D. Pardo, P. Matuszyk, I. Muga, C. Torres-Verdin, A. Mora, and V.M. Calo, “Influence of Borehole-Eccentered Tools in Wireline and LWD Sonic Logging Measurements,"Geophysical Prospecting, 61(s1), pp.268-283, 2013.

34. Y.G.Motlagh, H.T. Ahn, T.J.R. Hughes, and V.M. Calo, “Simulation of Laminar and Turbulent Concentric Pipe Flows with the Isogeometric Variational Multiscale Method," Computers and Fluids, 71, pp.146-155, 2013.

33. V.M. Calo, N.O. Collier, M. Gehre, B. Jin, and H. Radwan, “A gradient-based estimation of Manning's friction coeficient from noisy data," Journal of Computational and Applied Mathematics, 238, pp.1-13, 2013.

32. M. Paszynski, D. Pardo, and V.M. Calo, “Parallel Simulations of 3D DC Borehole Resisitivity Measurements with a Goal-Oriented Self-Adaptive hp Finite Elements Method," Journal of the Serbian Society for Computational Mechanics, 6(2), 2012.

31. K. Chang, T.J.R. Hughes, and V.M. Calo, “Isogeometric Variational Multiscale Large-Eddy Simulation of Fully-developed Turbulent Flow over a Wavy Wall," Computers and Fluids, 68, pp.94-104, 2012.

30. D. Pardo, M.R. Paszynski, N.O. Collier, J. Alvarez, L. Dalcin, and V.M. Calo, “Direct Solvers for Galerkin Methods," SeMA Journal, 57, pp.107-134, 2012.

29. N.O. Collier, H. Radwan, L. Dalcin, and V.M. Calo, “Time Adaptivity in the Diffusive Wave Approximation to the Shallow Water Equations," Journal of Computational Science, 4(3), pp.152-156, 2013.

28. D. Pardo, P. Matuszyk, I.
Muga, C. Torres-Verdin, A. Mora, and V.M. Calo, “Simulation of Wireline Sonic Logging
Measurements with Borehole-Eccentered Tools using a High-Order Adaptive Finite
Element Method," Journal of Computational Physics, 230(16), pp. 6320{6333,
2011.

27. A.H. Niemi, N.O. Collier, and V.M. Calo, “Discontinuous Petrov-Galerkin method based on the optimal test space norm for steady transport problems in one space dimension," Journal ofComputational Science, 4(3), pp.157-163, 2013.

26. R. Duddu, L. Lavier, T.J.R. Hughes, and V.M. Calo. “A finite strain Eulerian formulation for compressible and nearly incompressible hyper-elasticity using high-order NURBS elements," International Journal of Numerical Methods in Engineering, 89(6), pp.762-785, 2012.

25. N.O. Collier, D. Pardo, M. Paszynski, L. Dalcin, and V.M. Calo, “The cost of continuity: a study of the performance of isogeometric finite elements using direct solvers," Computer Methods in Applied Mechanics and Engineering, 213-216, pp.353-361, 2012.

24. V.M. Calo, Y. Efendiev, and J. Galvis, “A note on variational multiscale methods for highcontrast heterogeneous flows with rough source terms," Advances in Water Resources, 34(9), pp.1177-1185, 2011.

23. J. Zitelli, I. Muga, L, Demkowicz, J. Gopalakrishnan, D. Pardo, and V.M. Calo, “A Class of Discontinuous Petrov-Galerkin Methods. Part IV: The Optimal Test Norm and Time-harmonic Wave Propagation in 1D," Journal of Computational Physics, 230(7), pp.2406-2432, 2011.

22. S. Hossain, S.F.A.
Hossainy, Y. Bazilevs, V.M. Calo, and T.J.R. Hughes, “Mathematical Modeling of
Coupled Drug and Drug-Encapsulated Nanoparticle Transport in Patient-Specific Coronary
Artery Walls," Computational Mechanics, 49(2), pp. 213-242, 2012.

21. V.M. Calo, Y. Bazilevs,
T.J.R. Hughes, R. Moser, “Turbulence modeling for large eddy simulations (editorial),"
Comp. Methods in App. Mechanics and Eng., 199(13-16), pg. 779, 2010.

20. H. Gomez, T.J.R.
Hughes, X. Nogueira, and V.M. Calo, “Isogeometric analysis of the isothermal Navier-Stokes-Korteweg
equations" Computer Methods in Applied Mechanics and Engineering, 199(25-28),
pp. 1828-1840, 2010.

19. M. Paszynski, D.
Pardo, C. Torres-Verdin, L. Demkowicz, and V.M. Calo, “A parallel direct solver for the
self-adaptive hp finite element method," J. Par. Dist. Comp., 70, pp.
270-281, 2010.

18. M.C. Hsu, Y.
Bazilevs, V.M. Calo, T.E. Tezduyar, and T.J.R. Hughes, “Improving stability of stabilized
and multiscale formulations in flow simulations at small time steps," Computer
Methodsin Applied Mechanics and Engineering, 199(13-16), pp. 828-840, 2010.

17. Y. Bazilevs, C.
Michler, V.M. Calo, and T.J.R. Hughes, “Isogeometric variational multiscale

modeling of wall-bounded
turbulent ows with weakly enforced boundary conditions on unstretched meshes,"
Computer Methods in Applied Mechanics and Engineering, 199(13-16), pp. 780-790,
2010.

16. Y. Bazilevs, V.M. Calo,
T.J.R. Hughes, C.A. Taylor, “Preface to the special issue on models and methods
in computational vascular and cardiovascular mechanics (editorial)," Computer
Methods in Applied Mechanics and Engineering, 198(45-46), pg. 3513, 2009.

15. Y. Bazilevs, C.L. Bajaj, V.M. Calo, T.J.R. Hughes, “Special issue on computational geometry and analysis (editorial," Computer Methods in Applied Mechanics and Engineering, 198(5-8), pg.223, 2009.

14. Y. Bazilevs, V.M. Calo, J.A. Cottrell, J.A. Evans, T.J.R. Hughes, S. Lipton, M.A. Scott, and T.W. Sederberg,“Isogeometric analysis using T-splines," Computer Methods in Applied Mechanics and Engineering, 199(5-8), pp.229-263, 2010.

13. V.M. Calo, N. Brasher, Y. Bazilevs, and T.J.R. Hughes, “Multiphysics Model for Blood Flow and Drug Transport with Application to Patient-Specific Coronary Artery Flow," Computational Mechanics, 43(1), pp.161-177, 2008.

12. Y. Bazilevs, V.M. Calo, T.J.R. Hughes, and Y. Zhang, “Isogeometric fluid-structure interaction: theory, algorithms, and computations," Computational Mechanics, 43(1), pp.3-37, 2008.

11. T. Elguedj, Y. Bazilevs, V.M. Calo, and T.J.R. Hughes, “F-bar projection method for finite deformation elasticity and plasticity using NURBS based isogeometric analysis," International Journal of Material Forming, 1, pp.1091-1094, 2008.

10. H. Gomez, V.M. Calo, Y. Bazilevs, and T.J.R. Hughes, “Isogeometric Analysis of the Cahn-Hilliard phase-field model," Computer Methods in Applied Mechanics and Engineering, 197(49-50), pp.4333-4352, 2008.

9. D. Pardo, C. Torres-Verdin, M.J. Nam, M. Paszynski, and V.M. Calo, “Fourier series expansion in a non-orthogonal system of coordinates for the simulation of 3D alternating current borehole resistivity measurements," Computer Methods in Applied Mechanics and Engineering, 197(45-48), pp.3836-3849, 2008.

8. T. Elguedj, Y. Bazilevs, V.M. Calo, and T.J.R. Hughes, “B and F projection methods for nearly incompressible linear and non-linear elasticity and plasticity using higher-order NURBS elements," Computer Methods in Applied Mechanics and Engineering, 197(33-40), pp.2732-2762, 2008.

7. D. Pardo, V.M. Calo, C. Torres-Verdin, and M.J. Nam, “Fourier Series Expansion in a Non-Orthogonal System of Coordinates for Simulation of 3D DC Borehole Resistivity Measurements," Computer Methods in Applied Mechanics and Engineering, 197 (21), pp.1906-1925, 2008.

6. G.P. Johnson, V.M. Calo and K. Gaither, “Interactive Visualization and Analysis of Transitional Flow," IEEE Transactions on Visualization and Computer Graphics, 14(6), pp.1420-1427, 2008.

5. Y. Bazilevs, V.M. Calo, J.A. Cottrell, T.J.R. Hughes, A. Reali and G. Scovazzi, “Variational Multiscale Residual-based Turbulence Modeling for Large Eddy Simulation of Incompressible Flows," Computer Methods in Applied Mechanics and Engineering, 197(1-4), pp. 173-201, 2007.

4. I. Akkerman, Y. Bazilevs, V.M. Calo, T.J.R. Hughes, and S. Hulshoff, “The role of continuity in residual-based variational multiscale modeling of turbulence," Computational Mechanics, 41(3), pp.371-378, 2007.

3. Y. Bazilevs, V.M. Calo, T. Tezduyar and T.J.R. Hughes, “YZbeta discontinuity capturing for advection-dominated processes with application to arterial drug delivery," International Journal for Numerical Methods in Fluids, 54, pp.593-608, 2007.

2. Y. Bazilevs, C. Michler, V.M. Calo and T.J.R. Hughes, "Weak Dirichlet boundary conditions for wall-bounded turbulent flows," Computer Methods in Applied Mechanics and Engineering, 196(49-52), pp.4853-4862, 2007.

1. Y. Bazilevs, V.M. Calo, Y. Zhang and T.J.R. Hughes,“Isogeometric Fluid-structure Interaction Analysis with Applications to Arterial Blood Flow," Computational Mechanics, 38(4-5), pp.310-322, 2006.