1: A Unified Approach to Three Finite Element Theories for Geometric Nonlinearity, Journal of Computer Methods in Applied Mechanics and Eng., 4, l, pp. 69-79, l974.
2: Orthogonal Collocation on Finite Elements, Journal of Chemical Engineering Science, Vol. 30, pp. 587-596, 1975 (G. F. Carey and B. A. Finlayson).
3: A Mesh Refinement Scheme for Finite Element Computations, Journal of Computer Methods in Applied Mechanics and Engineering, Vol. 7, No. 1, pp. 93-105, 1976.
4: A Variational Formulation of the Compressible Through-Flow Problem, Transactions of the ASME, Journal of Engineering for Power, Vol. 98, No. 1, Series A, pp. 1-8, 1976 (G. C. Oates, C. J. Knight and G. F. Carey).
5: An Analysis of Finite Element Equations and Mesh Subdivision, Parts I and II, Journal of Computer Methods in Applied Mechanics and Engineering, Vol. 9, No. 2, pp. 165-179, 1976.
6: Temperature Computation for Temperate Lakes, Applied Mathematical Modelling, Vol. 2, pp. 41-48, 1978 (R. Walters, G. F. Carey and D. F. Winter).
7: Variational Principles for the Transonic Airfoil Problem, Journal for computer Methods in Applied Mechanics and Engineering, 13, 129-140, 1978.
8: Adaptive Refinement and Nonlinear Fluid Problems, Journal of Computer Methods in Applied Mechanics and Engineering, 17/18, pp. 541-560, 1979.
9: Gershgorin Theory for Stiffness & Stability of Evolution systems and Convection-diffusion, Journal of Computer Methods in Applied Mechanics and Engineering, 22, 23-48, 1980 (G. F. Carey and K. Sepehrnoori).
10: Efficient Solution of Nonlinear Time-Dependent Problems with Applications to Permafrost Modeling, Journal Cold Regions Science and Technology, 3, pp. 185-192, 1980 (L. J. Hayes and Graham F. Carey).
11: Mixed Operator Problems Using Least Squares Finite Element Collocation, Journal of Computer Methods in Applied Mechanics and Engineering, 22, pp. 121-130, 1980 (G. F. Carey, Y. K. Cheung and S. L. Lau).
12: Galerkin and Collocation-Galerkin Methods with Superconvergence and Optimal Fluxes, International Journal of Numerical Methods in Engineering, 17, pp. 939-950, 1981 (G. F. Carey, D. Humphrey and M. F. Wheeler).
13: Moisture Transport in a Soil-Plant System: A Mathematical Model and Finite Element Analysis, Advances in Water Resources, 4, pp. 67-76, 1981 (P. Farnum and G. F. Carey).
14: Numerical Integration of Semidiscrete Evolution Systems, Journal of Computer Methods in Applied Mechanics and Engineering, 27, 45-61, 1981 (K. Sepehrnoori and G. F. Carey).
15: On a Nonlinear Iterative Method in Applied Mechanics, Part I: Analysis, Journal of Computer Methods in Applied Mechanics and Engineering, 26, pp. 173-180, 1981 (G. F. Carey and R. Krishnan).
16: Mesh Refinement and Iterative Solution Methods for Finite Element Computations, International Journal of Numerical Methods in Engineering, 17, 1717-1734, 1981 (Graham F. Carey and David L. Humphrey).
17: Computation of Subcritical Compressible Flows, Journal of Computers and Fluids, 9, pp. 33-41, 1981 (G. F. Carey and T. T. Pan).
18: On Penalty Methods for Inter-Element Constraints, J. Comp. Meth. Appl. Mech. Eng., 30, 151-171, 1982 (G. F. Carey, A. Kabaila and M. Utku).
19: Determination of Two Dominant Eigenvalues, Applied Mathematical Modelling, 6, 399-402, 1982 (A. Kabaila and G. F. Carey).
20: Boundary Penalty Techniques, J. Comp. Meth. Appl. Mech. Eng., 30, 103-118, 1982 (M. Utku and G. F. Carey).
21: Penalty Approximation of Stokes Flow, Parts I and II, J. Comp. Meth. Appl. Mech. and Eng., 35, 2, 169-206, 1982 (G. F. Carey and R. Krishnan).
22: On a Nonlinear Iterative Method in Applied Mech., Part II: Computational Aspects, Journal of Computer Methods in Applied Mechanics and Engineering, 30, 323-333, 1982 (G. F. Carey and R. Krishnan).
23: Hyperbolic Heat Transfer with Reflection, J. Numerical Heat Transfer, 5, 309-327, 1982 (G. F. Carey and M. Tsai).
24: C1-Collocation and Continuity Requirements, Applied Mathematical Modelling, 6, 70-71, 1982.
25: Derivative Calculation from Finite Element Solutions, J. Comp. Meth. Appl. Mech. and Eng., 35, 1-14, 1982.
26: Analysis of Spurious Oscillation Modes for the Shallow Water and Navier Stokes Equations, J. Comp. and Fluids, 11, 1, 51-68, 1983 (Roy A. Walters and Graham F. Carey).
27: Lifting Airfoil Calculation Using the Boundary Element Method, Int. J. Numer. Meth. Fluids, 3, 481-492, 1983 (G. F. Carey and S. W. Kim).
28: Variable Upwinding and Adaptive Mesh Refinement in Convection-Diffusion, International Journal of Numerical Methods in Engineering, 19, 341-353, 1983 (G. F. Carey and T. Plover).
29: Penalty Resolution of the Babuska-Circle Paradox, J. Comp. Meth. Appl. Mech. Eng., 41, 11-28, 1983, (M. Utku and G. F. Carey).
30: Isothermal, Multiphase, Multicomponent Fluid Flow in Permeable Media: Part I-Theory, Part 2-Numerical Modelling, In Situ, 1984, (L. Lake, G. Pope, G. F. Carey and K. Sepehrnoori).
31: Numerical Noise in Ocean and Estuarine Models, Advances in Water Resources, 7, 15-20, March 1984 (R. Walters and G. F. Carey).
32: Penalty Finite Element Method for the Navier Stokes Equations, Comp. Meth. Appl. Mech. Eng., Parts I, II, 42, 183-224, 1984 (G. F. Carey and R. Krishnan).
33: Stream Function Finite Element Solution of Stokes Flow with Penalties, Int. J. Num. Meth. Fluids, 4, 1013-1025, 1984, (Graham F. Carey and Mehmet Utku).
34: Approximate Boundary Flux Calculation, J. Comp. Meth. Appl. Mech. Eng., 50, 107-120, 1985 (G. F. Carey, S. S. Chow and M. K. Seager).
35: On the Computed Pressures for Navier Stokes Problems at Increasing Reynolds Numbers Using the Penalty Finite Element Method, Int. J. Numer. Meth. Fluids, 5, 439-442, 1985 (R. Krishnan and G. F. Carey).
36: Exponential Upwinding and Integrating Factors for Symmetrization, Communications in Applied Numerical Methods, 1, 57-60, April 1985.
37: Continuation Techniques for a Penalty Approximation of the Navier-Stokes Equations, J. Comp. Meth. in Applied Mech. and Eng., 48, 265-282, 1985, (G. F. Carey and R. Krishnan).
38: Some Results Concerning Approximation of Regularized Compressible Flow, Int. J. Numer. Meth. Fluids, 5, 299-302, March 1985, (Hung Dinh and Graham F. Carey).
39: On the Numerical Solution of Two-Point Singularly Perturbed Boundary-Value Problems, Comp. Meth. in Applied Mech. and Eng., 50, 217-229, 1985, (with O. Axelsson and G. F. Carey).
40: Grading Functions and Mesh Redistribution, SIAM J. Numer. Anal., 50, No. 5, 1028-1040, 1985, (Graham F. Carey and Hung T. Dinh).
41: Projection and Iteration in Adaptive Finite Element Refinement, Int. J. Numer. Meth. in Engineering, 21, 1681-1695, 1985 (G. F. Carey and M. Seager).
42: Continuously Deforming Finite Elements, Int. J. Numer. Meth. Eng., 21, 2099-2126, 1985, (A. C. Mueller and G. F. Carey).
43: Shock-Free Redesign Using Finite Elements, Communications in Applied Numerical Methods, 2, 29-35, 1986 (G. F. Carey and T. T. Pan).
44: Stability of Penalty Finite Element Methods for Nonconforming Problems. J. Numer. Meth. PDE's, 2, 13-29, 1986, (G. F. Carey and M. Utku).
45: Element by Element Linear and Nonlinear Solution Schemes, Communications in Applied Numerical Methods, 2, 145-153, 1986, (G. F. Carey and B. N. Jiang).
46: Conservation Principles and Variational Problems, ACTA Mechanica, 58, 93-97, 1986, (G. F. Carey and H. Dinh).
47: Local Pressure Oscillations and Boundary Treatment for the 8-Node Quadrilateral, IJNMF, 6, 155-172, 1986, (G. F. Carey and R. McLay).
48: Parallelism in Finite Element Modelling, Communications in Applied Numerical Methods, 2, 281-287, 1986 (G. F. Carey).
49: Turbulent Boundary-Layer Analysis Using Finite Elements, Int. J. Num. Meth. Fluids, 6, 769-787, 1986 (M. Sharma and G. F. Carey).
50: Convergence of Iterative Methods in Penalty Finite Element Approximation of the Navier Stokes Equations, J. Comp. Meth. in Applied Mech. and Eng., 60, 1-29, 1987 (G. F. Carey and R. Krishnan).
51: Treatment of Material Discontinuities in Finite Element Computations, IJNME, 24, 393-417, 1987 (R. MacKinnon and G. F. Carey).
52: Stream Function Solution of Navier-Stokes Problems with Inter-Element Penalties, Int. J. Num. Meth. Fluids, 7, 191-193, 1987, (M. Utku and G. F. Carey).
53: Adaptive Refinement for Least Squares Finite Elements with Element -by-Element Conjugate Gradient Solution, IJNME 24, 569-580, 1987 (B. N. Jiang and G. F. Carey).
54: Nonlinear Preconditioned Conjugate Gradient and Least Squares Finite Elements, Comp. Meth. Appl. Mech. Eng. 62, 145-154, 1987 (G. F. Carey and B. N. Jiang).
55: Least Squares Finite Element Method and Preconditioned Conjugate Gradient Solution, Int. J. Num Meth. Eng. 24, 1283-1286, 1987 (G. F. Carey and B. N. Jiang).
56: Finite Element Error Estimates for Subsonic Flow, J. of Australian Math. Society, Series B 29, 88-102, l987 (S. Chow and G. F. Carey).
57: Approximate Analysis of Regularized Compressible Flow Using the Fictitious Gas Concept, J. Nonlinear Analysis, Vol. 11, No. 8, 861-875, 1987 (H. Dinh and G. F. Carey).
58: Well Singularities in Reservoir Simulation, J. for the Soc. of Petroleum Engineers, 713-719, November l987 (G. F. Carey and S. Chow).
59: Moving Elements for Transport Processes, J. for the Soc. of Petroleum Engineers, 40l-408, August, l987 (G. F. Carey, A. Mueller, K. Sepehrnoori, and R. Thrasher).
60: Finite Element Analysis of Mass Transport Through a Viscous Fluid with Reaction, J. of Chem. Eng. Sci., 42, No. 12, 2833-2846, 1987 (P. Murray and G. F. Carey).
61: Toward Expert Systems in Finite-Element Analysis, CANM, 3, 527-533, 1987 (G. F. Carey and P. Patton).
62: Adaptive Mesh Redistribution for a Boundary Element (Panel) Method, IJNME, 24, 2315-2325, 1987 (G. F. Carey and S. Kennon).
63: Least-Squares Finite Elements for First-Order Hyperbolic Systems, Int. J. Num. Meth. Eng., 26, 81-93, 1988, (G. F. Carey and B. N. Jiang).
64: Finite Element Analysis of Diffusion with Reaction at a Moving Boundary, J. of Comp. Phys., 74, No. 2, 440-455, 1988, (Paul Murray and G. F. Carey).
65: Optimization of Computational Grids, Numerical Grids, Numerical Methods and PDE's, 4, 95-117, 1988, (A. Pardhanani and G. F. Carey).
66: Analysis of Material Interface Discontinuities and Superconvergent Fluxes in Finite Difference Theory, J. of Comp. Phys., 75, No. 1, 151-167, 1988 (R. MacKinnon and G. F. Carey).
67: A Stable Least-Squares Finite-Element Method for Nonlinear Hyperbolic Problems, Int. J. Num. Meth. Fluids, 8, 933-942, 1988 (B. N. Jiang and G. F. Carey).
68: Element-by-Element Vector and Parallel Computations, CANM, 4, No. 3, 299-307, 1988 (G. F. Carey, E. Barragy, R. McLay and M. Sharma).
69: A Regularization-Stabilization Technique for Nonlinear Conservation Equation Computations, Int. J. Num. Methods PDE's, 4, 165-171, 1988 (G. F. Carey, B. Jiang and R. Showalter).
70: A Partitioning Scheme and Iterative Solution for Sparse Bordered Systems, Comp. Meth. Appl. Mech. Eng., 70, 321-327, 1988 (Barragy, E. and G. F. Carey).
71: Some Aspects of Adaptive Grid Computations, Computers & Structures, 30, 1/2, 297-302, 1988 (G. F. Carey, M. Sharma, K. C. Wang and A. Pardhanani).
72: A Parallel Element-by-Element Solution Scheme, IJNME, 26, 2367-2382, 1988 (E. Barragy and G. F. Carey).
73: A Class of Data Structures for 2-D and 3-D Adaptive Mesh Refinement, IJNME, 26, 2607-2622, 1988 (G. F. Carey, M. Sharma and K. C. Wang).
74: Extension of Inverse Design Techniques for Multicomponent Airfoils, AIAA Journal, Vol 26, No. 6, 1988 (M. Siladic and G. F. Carey).
75: Performance of Iterative Methods for Newtonian and Generalized Newtonian Flows, IJNMF, 9,127-150, 1989 (G. F. Carey, K. Wang and W. Joubert).
76: Perturbation Analysis of the Shrinking Core Model, J. of Chem. Eng. Sci., Vol. 44, No. 4, 979-983, 1989 (G. F. Carey and P. Murray).
77: Determination of Interfacial Stress During Thermal Oxidation of Silicon, J. of Applied Physics, 65(9), 3467-3670, May 1989 (P. Murray and G. F. Carey).
78: Superconvergent Derivatives: A Taylor Series Analysis, IJNME, 28, 489-509, 1989 (R. MacKinnon and G. F. Carey).
79: Coupled Heat Transfer and Viscous Flow and Magnetic Effects in Weld Pool Analysis, IJNMF, 9, 713-730, 1989 (R. McLay and G. F. Carey).
80: Symbolic Eigenvalue Analysis for Adaptive Stepsize Control in PNS Shock Stabilization, Computers and Fluids, 17, No. 4, 527-535, 1989 (D. Cline and G. F. Carey).
81: Semiconductor Device Simulation Using Adaptive Refinement and Flux Upwinding, IEEE Transactions of Computer-Aided Design of Integrated Circuits and Systems, Vol 8, No. 6, 590-598, 1989 (M. Sharma and G. F. Carey).
82: Compressibility Effects in Modeling Thin Silicon Dioxide Films for Semiconductors, J. of theElectrochemical Society, Vol. 136, No. 9, 2666-2673, 1989 (Murray, P. and G. F. Carey).
83: Convergence Studies of Least-Squares Finite Elements for First-Order Systems, CANM, Vol 5, 427-434, 1989 (G. F. Carey and Y. Shen).
84: On a Class of Preconditioned Iterative Methods on Parallel Computers, IJNME, Vol 27, No. 3, 637-654, 1989 (O. Axelsson, G. F. Carey and G. Lindskog).
85: Multigrid Solution and Grid Redistribution for Convection-Diffusion, IJNME, Vol. 27, No. 3, 655-664, 1989 (G. F. Carey and A. Pardhanani).
86: A Procedure for Calculating Vorticity Boundary Conditions in the Stream Function-Vorticity Method, CANM, Vol. 6, 47-48, 1990 (R. MacKinnon, G. F. Carey and P. Murray).
87: Adaptive Domain Extension and Adaptive Grids for Unbounded Spherically Elliptic PDE's, SIAM J. of Scien. and Stat. Comp., Vol. 11, No. 1, 92-111, 1990 (M. Seager and G. F. Carey).
88: Shock Sensitivity in Parabolized Navier-Stokes Solution of High Angle-of-Attack Supersonic Flow, AIAA Journal, Vol. 28, No. 3, 406-413, 1990 (D. Cline and G. F. Carey).
89: Basis Function Selection and Preconditioning High Degree Finite Element and Spectral Methods, BIT 29, 794-804, 1989 (G. F. Carey and E. Barragy).
90: Nodal Superconvergence and Solution Enhancement, SIAM J. of Scien. and Stat. Comp., Vol. 11, No. 2, 343-353, 1990 (R. MacKinnon and G. F. Carey).
91: Least-Squares Finite Element Methods for Compressible Euler Equations, IJNMF, Vol. 10, 557-568, 1990 (B. N. Jiang and G. F. Carey).
92: An Improved Algorithm for Inverse Design of Thermal Problems With Multiple Materials, J. of Heat Transfer, Vol. 112, 274-279, 1990 (R. Shau, J. Batista and G. F. Carey).
93: Semiconductor Device Modeling Using Flux Upwind Finite Elements, COMPEL, Vol. 8, No. 4, 219-224, 1989 (M. Sharma and G. F. Carey).
94: Periodic Viscous Flow: A Benchmark Problem, IJNMF, Vol. 11, 87-97, 1990 (I. Goldberg, G. F. Carey, R. McLay and L. Phinney).
95: Shocked Transonic Flow Calculations Using Finite Elements and a Fictitious Gas, CMAME, 81, 1-11, 1990 (G. F. Carey and T. T. Pan).
96: Adaptive Grids for Coupled Viscous Flow and Transport, CMAME, 82, 365-383, 1990 (K. C. Wang and G. F. Carey).
97: Viscous Flow and Transport with Moving Free and Reactive Surfaces, IJNME, Vol. 30, 1181-1194, 1990 (P. Murray and G. F. Carey).
98: A Perturbation Analysis and Finite Element Approximate Model for Free Surface Flow Over Curved Beds, IJNME, Vo. 31, 493-507, 1991 (R. C. Berger and G. F. Carey).
99: Finite Element Simulation of Phase Change Using Capacitance Methods, Numerical Heat Transfer, Part B, Vol. 19, pp. 13-30, 1991 (Runnels, S. and G. F. Carey).
100: Bifurcation Detection Using Lanczos Method and Imbedded Subspaces, J. of Impact of Computing in Science and Engineering, 3, 76-92, 1991, (E. Barragy and G. F. Carey).
101: Natural and Postprocessed Superconvergence in Semilinear Problems, Num. Meth. for PDE's, 7, 245-259, 1991 (S. Chow, G. F. Carey and R. Lazarov).
102: Approximations of the KdV Equation by Least Squares Finite Elements, Computer Methods in Applied Mechanics and Engineering, 93, 1-11, 1991 (G. F. Carey and Y. Shen).
103: Preconditioners for High Degree Elements, Computer Methods in Applied Mechanics and Engineering, 93, 97-110, 1991 (E. Barragy and G. F. Carey).
104: Mesh Generation/Refinement Using Fractal Concepts and Iterated Function Systems, IJNME, 33, 287-305, 1992 (S. Bova and G. F. Carey).
105: Parallel Grid Generation/Optimization Using Block-Domain Decomposition, CAMN, 8, 243-256, 1992 (S. Bova and G. F. Carey).
106: Modeling Phosphorus Diffusion in Three Dimensions, IEEE Transactions on Computer-Aided Design, Vol. 11, No. 4, 1992 (W. Richardson, G. F. Carey and B. Mulvaney).
107: Parallelizable Restarted Iterative Methods for Nonsymmetric Linear Systems, Part I: Theory, International Journal of Computer Mathematics, Vol. 44, 243-267, 1992 (W. Joubert and G. F. Carey).
108: Parallelizable Restarted Iterative Methods for Nonsymmetric Linear Systems, Part II: Parallel Implementation, International Journal of Computer Mathematics, Vol. 44, 269-290, 1992 (W. Joubert and G. F. Carey).
109: Superconvergence Analysis of Approximate Boundary-Flux Calculations, Numerische Mathematik, 63, 483-501, 1992 (A. Pehlivanov, R. Lazarov, G. F. Carey and S. Chow).
110: Non-Linear Convective Effects on Moving Boundary AC Plasma Arcs, IEEE Transactions on Plasma Science, Vol 20, No. 6, 1992 (H. M. Wu and G. F. Carey).
111: Parallel-Vector Computation with High-p Element-by-Element Methods, Int'l J. Computer Math., 44, 329-339, 1992 (E. Barragy and G. F. Carey).
112: Moving Grid Finite Element Modeling of Thermal Ablation and Consolidation in Porous Media, IJNME, 36, 717-744, 1993 (MacKinnon, R. and G. F. Carey).
113: Stream Function Vorticity Solution Using High Degrees (p) Finite Elements and Element-by-Element Techniques, CNME, 9, 387-395, 1993 (E. Barragy and G. F. Carey).
114: Application of Conjugate Gradient Methods to Tidal Simulation, Advances in Water Resources, 16, 163-171, 1993 (E. Barragy, G. F. Carey and R. Walters).
115: Superconvergence Phenomena in Nonlinear Two Point Boundary Value Problems, Num. Meth. PDE's, 9, 561-577, 1993 (S. Chow and G. F. Carey).
116: Shape Optimization Using Adaptive Shape Refinement, IJNME, 36, 2435-2451, 1993 (H. Kohli and G. F. Carey).
117: Finite Element Modelling of In Situ Vitrification, In Situ Journal, Vol 17, No. 2, 1993 (G. F. Carey, R. McLay and R. MacKinnon).
118: A Domain Decomposition Strategy for Finite Element Simulation of Phase Change, Numerical Heat Transfer, Part B, Vol 24, No. 2, 181-189, 1993 (S. Runnels and G. F. Carey).
119: A Least Squares Finite Element Method for Viscoelastic Fluid Flow Problems, IJNMF, 17, 943-953, 1993 (K. C. Wang and G. F. Carey).
120: A Grid Anomaly in Quadrilateral Elements, SIAM Review, 35, 1, 130-134, 1993 (Carey, G. F. and H. T. Dinh).
121: Iterative Solution of the Stream Function-Vorticity Equations Using a Multigrid Solver with Finite Elements, CNME, 9, 587-594, 1993 (M. B. Davis and G. F. Carey).
122: Convergence Analysis of Least-Squares Mixed Finite Elements, Computing, 51, 2, 111-123, 1993 (A. I. Pehlivanov, G. F. Carey, R. D. Lazarov and Y. Shen).
123: Modeling Separated Forced Convection in Laminar Flow Past Cavities, Numerical Heat Transfer, Part A, Vol 25, 85-101, 1994 (M. Rahman and G. F. Carey).
124: A Prototype Scalable, Object-Oriented Finite Element Solver on Multicomputers, J. of Parallel and Distributed Computing, 20, 357-379, 1994 (G. F. Carey, J. Schmidt, V. Singh and D. Yelton).
125: Nonlinear Dynamics of Heat Transfer Enhancement Using Eddy Promoters, Numerical Heat Transfer, Part A, Vol 25, 117-133, 1994 (M. Rahman and G. F. Carey).
126: Performance and Scalability of Finite Element Analysis for Distributed Parallel Computation, J. of Parallel and Distributed Computing, 21, 202-212, 1994 (E. Barragy, G. F. Carey and R. Van de Geijn).
127: Numerical Simulation of AC Plasma Arc Thermodynamics, Journal of Comp. Phy., 112, No. 1, 24-30, 1994, (with H. Wu and M. E. Oakes).
128: Error Estimates for Least Squares Mixed Finite Elements, RAIRO Mathematical Modelling and Numerical Analysis, 28, No. 5, 499-516, 1994 (A. I. Pehlivanov and G. F. Carey).
129: Least-Squares Mixed Finite Elements for Second Order Elliptic Problems, SIAM J. on Numerical Analysis, Vol 31, No. 5, 1368-1377, 1994, (A. Pehlivanov, G. F. Carey and R. Lazarov).
130: Embedded Gradient Iterative Solution of a Class of Nonlinear PDE's on the Connection Machine, Int’l J. of High Speed Computing, Vol 6, No. 2, 277-286, 1994 (Wayne D. Joubert and Graham F. Carey).
131: Unsteady Shock - Separation Bubble Interaction at a Compression Corner, Computational Fluid Dynamics Journal, Vol 3, No. 3, 1994, (G. F. Carey and M. Rahman).
132: Some Conformal Map Constructs for Numerical Grids, Comm. in Num. Meth. in Eng., Vol 11, 127-135, 1995 (G. F. Carey and A. Muleshkov).
133: Least-Squares Finite Element Approximation of Fisher’s Reaction-Diffusion Equation, Num. Meth for PDEs, 11, 175-186, 1995 (G. F. Carey and Y. Shen).
134: Selecting Upwind Parameters for Improved Iterative Performance, CNME, Vol 11, 235-242, 1995, (with R. Abbasian).
135: Parallel Performance and Scalability for Block Preconditioned Finite Element (p) Solution of Viscous Flow, IJNME, Vol 38, 1535-1554, 1995, (with E. Barragy and R. Van de Geijn).
136: A Parallel, Scalable Parabolized Navier-Stokes Solver for Large-Scale Simulations, AIAA Journal, 1995, (with A. K. Stagg, D. D. Cline and J. N. Shadid).
137: An Element-by-Element Strategy for Non-Linear Shape Optimization, IJNME, 38, 1967-1984, 1995 (with H. Kohli).
138: Simulation of Fluid Mixing Using Least-Squares Finite Elements and Particle Tracing, Int. J. Num. Meth. Heat & Fluid Flow, 5, 549-573, 1995 (with Y. Shen).
139: A Vector-Parallel Scheme for Navier-Stokes Computations at Multi-Gigaflop Performance Rates, IJNMF, 21, 445-466, 1995 (with A. Lorber).
140: High-Order Compact Scheme for the Steady Stream-Function Vorticity Equations, IJNME, 38, 3497-3512, 1995 (with B. Spotz).
141: Least-Squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: II. Performance of Block-ILU Factorization Methods, SIAM J. Sci. Comput., 16, 5, 1126-1136, 1995 (with A. Pehlivanov and P. Vassilevski).
142: A Taylor-Galerkin Finite Element Method for the Hydrodynamic Semiconductor Equations, IEEE Trans CAD, 14, 12, 1437-1444, 1995 (with S. Bova).
143: Finite Element Analysis of Anisotropic Fluid Suspensions, IJNMF, 22, 11-27, 1996 (with D. Hu and R. McLay).
144: Least-squares Mixed Finite Element Methods for Non-Selfadjoint Elliptic Problems: I. Error Estimates, Numerische Mathematik, 72, 501-522, 1996 (with A. Pehlivanov and P. Vassilevski).
145: ODE Recursions and Iterative Solvers for Linear Equations, SIAM J. Sci. Comput., 17, 1, 65-77, 1996 (with A. Lorber and W. Joubert).
146: A High-Order Compact Formulation for the 3D Poisson Equation, Numer. Meth. for PDE, 12, 235-243, 1996 (with W. Spotz).
147: A Symmetric Formulation and SUPG Scheme for the Shallow-Water Equations, Adv. in Water Resources, 19, 3, 123-131, 1996 (with S. Bova).
148: An Entropy Variable Formulation and Applications for the Two-Dimensional Shallow Water Equations, Int’l J. for Numer. Methd. in Fluids, 23, 29-46, 1996 (with S. W. Bova).
149: Multilevel Solution of Augmented Drift-Diffusion Equations, COMPEL, 15,2, 4-18, 1996 (with M. Davis).
150: Maximizing Sparse Matrix-Vector Product Performance on RISC Based MIMD Computers, J. Parallel and Distributed Computing, 37, 146-158, 1996 (with R. McLay and S. Swift).
151: Efficient Simulation of Complex Patterns in Reaction-Diffusion Systems, J. of Comp. and Appld Mathe., 74, 295-311, 1996 (with A. Pardhanani).
152: An Adaptive Finite Element Scheme for Hydraulic Fracturing with Proppant Transport, IJNMF, 24, 645-670, 1997 (with S. Ouyang and C. H. Yew).
153: Stream Function-Vorticity Driven Cavity Solution using p Finite Elements, Computers and Fluids, 26, 5, 453-468, 1997 (E. Barragy and G. F. Carey).
154: A Note on Richardson Extrapolation as an Error Estimator for Non-Linear Reaction-Diffusion Problems, CNME, 13, 533-540, 1997 (R. O. Abbasian and G. F. Carey).
155: Higher-Order Compact Mixed Methods, CNME, 13, 553-564, 1997 (G. F. Carey and W. F. Spotz).
156: Local Error Estimation and Adaptive Remeshing Scheme for Least-Squares Mixed Finite Elements, CMAME (Special Issue in honor of J. T. Oden’s 60th birthday), 150, 125-131, 1997 (G. F. Carey and A. I. Pehlivanov).
157: Least Squares Finite Elements for Fluid Flow and Transport, IJNMF,Vol 27, 97-107, 1998 (G. F. Carey, A. Pehlivanov, Y. Shen, A. Bose, and K. C. Wang).
158: Hybrid MPE-Iterative Schemes for Linear and Nonlinear Systems, Applied Numerical Mathematics, 26, 277-291, 1998 (R. Abbasian and G. F. Carey).
159: A Mapped Scharfetter-Gummel Formulation for the Efficient Simulation of Semiconductor Device Models, IEEE Trans. CAD, Vol 16, No. 10, 1227-1233, 1997 (A. Pardhanani and G. F. Carey).
160: A Stable Multigrid Strategy for Convection-Diffusion Using High Order Compact Discretization, Electronic Transactions in Numer. Analysis, http://etna.mcs.kent.edu/vol.6.1997/pp211-223.dir/pp211-223.html, April 1998 (A. L. Pardhanani, W. F. Spotz and G. F. Carey).
161: Iterative and Parallel Performance of High-Order Compact Systems, SIAM J. Sci. Comput., Vol 19, No. 1, 1-14, 1998 (W. Spotz and G. F. Carey).
162: Formulation and Experiments with High-Order Compact Systems, Int’l J. of Num. Meth. for Heat and Fluid Flow, Vol 8, No. 3, 288-303, 1998 (W. Spotz and G. F. Carey).
163: Accelerated Solution of Non-Linear Flow Problems using Chebyshev Iteration Polynomial Based RK Recursions, Computers and Fluids, Vol 27, No. 7, 769-782, 1998 (A. A. Lorber, G. F. Carey, S. W. Bova and C. Harle).
164: Time-integration and Iterative Techniques for Semiconductor Diffusion Modeling, IEEE J. of Technology Computer-Aided Design (TCAD), May 1998 (http://tcad.stanford.edu/tcad journal/special/SISPAD97.html), (A. Pardhanani and G. F. Carey).
165: Free Surface Flow Over Curved Surfaces Part I: Perturbation Analysis, IJNMF, 28, 191-200, 1998 (Berger, R. C. and G. F. Carey).
166: Free Surface Flow Over Curved Surfaces Part II: Computational Model, IJNMF, 28, 201-213, 1998 (Berger, R. C. and G. F. Carey)..
167: A Least-Squares Mixed Scheme for the Simulation of Two-Phase Flow in Porous Media on Unstructured Grids, Transport in Porous Media, 32, 75-95, 1998 (D. Biswas and G. F. Carey).
168: Parallel Conjugate Gradient Performance for Least-Squares Finite Elements and Transport Problems, IJNMF, 28, 1421-1440, 1998 (G. F. Carey, Y. Shen and R. McLay).
169: Least-Squares Finite-Element Method to Predict Areal Composition Variations in Large Hydrocarbon Reservoirs, SPE Journal, 307-315, December 1998 (D. Biswas and G. F. Carey).
170: A Class of Data Structures and Object-Oriented Implementation for Finite Element Methods on Distributed Memory Systems,” Comp. Meth. Appld. Mech. Eng., 171, 109-121, 1999 (Bose, A. and G. F. Carey).
171: Joint Elements, Stress Post-Processing and Superconvergent Extraction with Application to Mohr-Coulomb Failure, CNME, 15, 335-347, 1999 (G. F. Carey and M. Ma).
172: Parallel Finite Element Solution of Three-Dimensional Rayleigh-Benard-Marangoni Flows, IJNME, 31, 37-52, 1999 (G. F. Carey, R. McLay, G. Bicken, B. Barth, S. Swift and A. Ardelea)
173: Least-squares p-r finite element methods for incompressible non-Newtonian flows, CMAME, 180, 431-458, 2000 (A. Bose and G. F. Carey)
174: Local Refinement of simplicial grids based on the skeleton, Appld Numer Math., 32, 195-218, 2000 (A. Plaza and G. F. Carey)
175: A 3D Refinement/Derefinement Algorithm for Solving Evolution Problems, Appld Numer Math., 32, 401-418, 2000 (A. Plaza, M. A. Padron, G. F. Carey)
176: Mapped Discretization Strategies for Curvilinear Adaptively Redistributed Grids in Semiconductor Device Modeling, CMAME, 181, 365-379, 2000 (Anand L. Pardhanani and G. F. Carey).
177: A Distributed Memory Parallel Element-by-Element Scheme for Semiconductor Device Simulation, CMAME, 181, 403-423, 2000 (S. W. Bova and G. F. Carey).
178: Parallel Multilevel Solution of Rayleigh-Benard-Marangoni Problems, Int’l J. Numer. Meths. For Heat and Fluid Flow, Vol 10, No. 3, 2000. (Davis, M. B. and G. F. Carey)
179: Multidimensional semiconductor device and micro-scale thermal modeling using the PROPHET simulator with dial-an-operator framework, Computer Modeling in Engineering and Science,Vol 1, No. 1, 141-150, 2000 (A. L. Pardhanani and G. F. Carey).
180: Resonant Phase Patterns in a Reaction-Diffusion System, Physical Review Letters, Vol 84, No. 18, May 2000 (Anna L. Lin, M. Bertram, K. Martinez and H. L. Swinney, A. Ardelea and G.F. Carey).
181: Advanced Numerical Methods and Software Approaches for Semiconductor Device Simulation”, Special Issue of VLSI Design (C. Gardner, Ed.), Vol 10, No. 4, 391-414, 2000 (Carey, Graham F., A. L. Pardhanani and S. Bova).
182: Analysis of High Speed Non-equilibrium Chemically Reacting Gas Flows, Part I: Physical Modelling and Sensitivity Studies, IJNMF, 32, 6, 669-690, 2000 (C. Harle, G. F. Carey and P. Varghese).
183: Analysis of High Speed Non-equilibrium Chemically Reacting Gas Flows, Part II: A Finite Volume/Finite Element Model and Numerical Studies, IJNMF, 32, 6, 691-710, 2000 (C. Harle, G. F. Carey and P. Varghese).
184: Simulation of Macroscopic Superconductivity for Microelectronics, Physica C, Vol 341-348, Pgs. 2649-2659, November 2000 (Ardelea, A., G. F. Carey, A. Pardhanani and W. B. Richardson).
185: Locally Constrained Projections on Grids, Int’l J. for Num. Methods in Engineering, 50, 549-577, 2001 (Carey, G. F., G. Bicken, V. Carey, C. Berger, J. Sanchez).
186: Time Series Analysis of Numerical Simulations for Nonlinear Concentration oscillations of Electron Plasmas, Computational Fluid Dynamics Journal, Vol 1, No. 1, 1-13, April 2001 (Bicken, G. and G. F. Carey).
187: Research on Parallel Methods, Algorithms and Software at the University of Texas at Austin, Journal of Russian Academy of Science: Mathematical Modelling, 13, 3, 2001 (Kincaid, David R. and Graham F. Carey).
188: Graph-based data structures for skeleton-based refinement algorithms, CNME 17(12): 903-910, 2001 (J. P. Suárez, G. F. Carey, A. Plaza).
189: Extension of High-Order Compact Schemes to Time Dependent Problems, Numer. Methds. PDEs,. 17, 6, pp 657-672, 2001 (Spotz, W. F. and G. F. Carey).
190: Carey, G. F., Grid Generation, Grid Manipulation, Reliability and Accuracy: Techniques, Trends and Open Issues, Special Issue of Numerical Heat Transfer (Current Views on Grid Generation: Summaries of a Panel Discussion), Part B, 41, 215-219, 2002.
191: Carey, G. F., Hexing the Tet, Comm. Numer. Methods in Eng, 18, 3, 223-227, 2002.
192: Carey, G. F., “Some Further Properties of the Superconvergent Flux Projection”, Comm. Num. Methds Eng, 18, 4, 241-250, 2002.
193: Zhang, J, A. L. Pardhanani and G. F. Carey, “Performance of Adaptive Dual-Dropping ILUT Preconditioners in Semiconductor Dopant Diffusion Simulation”, Int’l J. Numer. Modelling: Electronic Networks, Devices and Fields, 15, 147-167, 2002.
194: Valli, A.M.P., G. F. Carey and A.L.G.A. Coutinho, Control strategies for timestep selection in simulation of coupled viscous flow and heat transfer, CNME, 18, 131-139, 2002.
195: Plaza, A., M. A. Padron and G. F. Carey, “Simulation of 3D evolution problems”, AMSE Journal, Best of 2000 Conferences, pp. 53-63, 2002.
196: Bicken, G., G. F. Carey and R. O. Stearman, Frequency domain kernel estimation for 2nd-order Volterra models using random multi-tone excitation, Special Issue of VLSI Design, Vol 15 (4), 701-713, 2002.
197: MacKinnon, R. J. and G. F. Carey, Positivity-preserving, flux-limited finite-difference and finite-element methods for reactive transport, IJNMF, 41, 151-183, 2003.
198: Bose, A., G. F. Carey and V. F. de Almeida, A Class of Parallel Multiple Front Algorithms on Subdomains, IJNME, 56, 1569-1592, 2003.
199: Chow, S. and G. F. Carey, Numerical Approximation of Generalized Newtonian Fluids using Heindl Elements: I. Theoretical Estimates, IJNMF, 41, 1085-1118, 2003.
200: Plaza, A. and G. F. Carey, A Geometric Explanation of an n-Dimensional Simplex Shape Measure, Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria, 475-480, 2003.
201: Kavouklis, Christos and G. F. Carey, Linear feedback control for convection-diffusion, 365-382, 2003.
202: Kirk, B., K. Lipnikov and G. F. Carey, “Nested Grid Iteration for Incompressible Viscous Flow and Transport”, Int’l J. Computational Fld Dynamics, Special Issue in honor of M. Kawahara’s 60th B’day, Vol 17 (4), pp. 253-262, 2003.
203: LeRoux, D. Y. and G. F. Carey, Dispersion analysis of the least-squares finite-element shallow-water system, IJNMF, 42, 607-622, 2003.
204: Carey, G.F., M. Anderson, B. Carnes, B. Kirk, Some aspects of adaptive grid technology related to boundary and interior layers, J. Comp and Appld Math, 166, 55-86, 2004.
205: Carey, G. F., N. Fowkes, A. Staelens, A. Pardhanani, A class of coupled nonlinear reaction diffusion models exhibiting fingering, J. Comp and Appld Math, 166, 87-99, 2004.
206: Richardson, B., A. Pardhanani, G. F. Carey and A. Ardelea, Numerical effects in the simulation of Ginzburg-Landau models for superconductivity, IJNME, 59, 1251-1272, 2004.
207: Wille, S.O., O. Staff, A.F.D. Loula and G. F. Carey, The influence of the order of fill-in on the convergence rate for ILU preconditioned iterative solvers, Numer. Methds for Heat and Fluid Flow, 14,3, 2004.
208: Wang, Xiaowen and G. F. Carey, “Finite Element Simulation of a Heated Thin Fluid Layer”, Numerical Heat Transfer, Part A-Applications, 45(9), 841-867, 2004.
209: Hogarth, W. L., C. W. Rose, J.Y. Parlange, G. C. Sander and G. Carey, Soil erosion due to rainfall impact with no inflow: a numerical solution with spatial and temporal effects of sediment settling velocity characteristics, J. of Hydrology, 294, 229-240, 2004.
210: Chow, S., G. F. Carey and M. L. Anderson, Finite Element approximations of a Glaciology Problem, Mathematical Modelling and Numerical Analysis, 38, 5, 741-756, 2004.
211: Valli, A.M.P., G. F. Carey and A.L.G.A. Coutinho, Control strategies for timestep selection in FE simulation of incompressible flows and coupled reaction-convection-diffusion processes, IJNMF, 47, 201-231, 2005.
212: Carey, G. F., W. Barth, J. A. Woods, B. Kirk, M. Anderson, S. Chow and W. Bangerth, “Modeling Error and Constitutive Relations in Simulation of Flow and Transport, Int’l J. Numer. Meth. in Flds., 46, 1211-1236, 2004.
213: Wang, X. and G.F. Carey, On Marangoni effects in a heated thin fluid layer with a monolayer surfactant. Part I: model development and stability analysis, Int’l J. Numer. Meth. Fluids, 48, 1-16, 2005.
214: Wang, X. and G.F. Carey, On Marangoni effects in a heated thin fluid layer with a monolayer surfactant. Part II: finite element formulation and numerical studies, Int’l J. Numer. Meth. Fluids, 48, 17-42, 2005.
215: Le Roux, D.Y. and G.F. Carey, Stability/dispersion analysis of the discontinuous Galerkin linearized shallow-water system, Int’l J. Numer. Meth. Fluids, 48, 325-347, 2005.
216: Anderson, M.L., W. Bangerth and G.F. Carey, Analysis of parameter sensitivity and experimental design for a class of nonlinear partial differential equations, Int’l J. Num. Meth. Fluids, 48, 583-605, 2005.
217: Iqbal, S. and G.F. Carey, Performance analysis of dynamic load balancing algorithms with variable number of processors, J. Parallel Distrib. Comput., 65, 934-948, 2005.