Edit Profile (opens in new tab) Carey, Graham Francis Compute Distance To: Compute Author ID: carey.graham-f Published as: Carey, G. F.; Carey, Graham F.; Carey, Graham; Carey, G. more...less Homepage: http://www.ae.utexas.edu/faculty/faculty-memorials/637-graham-f-carey External Links: MGP · Math-Net.Ru · dblp Documents Indexed: 235 Publications since 1970, including 9 Books 4 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 114 Co-Authors with 193 Joint Publications 1,696 Co-Co-Authors all top 5 Co-Authors 30 single-authored 11 Barragy, E. J. 9 Chow, Sum S. 9 Jiang, Bo-Nan 9 Oden, John Tinsley 9 Pardhanani, Anand L. 9 Pehlivanov, A. I. 8 Plaza, Ángel 8 Shen, Yun 7 Kirk, Benjamin S. 7 MacKinnon, Robert J. 7 McLay, R. T. 7 Spotz, William F. 6 Joubert, Wayne D. 5 Barth, William Lee 5 Bova, S. W. 5 Coutinho, Alvaro L. G. A. 5 Dinh, Hung T. 5 Utku, Mehmet 5 Valli, Andrea M. P. 4 Abbasian, Reza O. 4 Anderson, Michael L. 4 Humphrey, David L. 4 Lazarov, Raytcho D. 4 Suárez, José Pablo 3 Ardelea, Alexandre 3 Branets, Larisa V. 3 Carnes, Brian R. 3 Cline, Douglas D. 3 Davis, M. B. 3 Le Roux, Daniel Y. 3 Lorber, Alfred A. 3 Murray, Paul E. 3 Peterson, John W. 3 Seager, Mark K. 3 Stagg, Alan K. 2 Ahn, Hyung Taek 2 Axelsson, Axel Owe Holger 2 Bangerth, Wolfgang 2 Berger, R. C. 2 Bicken, G. 2 Carey, Varis 2 Estacio, Kemelli C. 2 Gallagher, Richard Hugo 2 Harlé, Christophe 2 Kabaila, Algis P. 2 Knezevic, David J. 2 Kohli, H. S. 2 Mangiavacchi, Norberto 2 Murray, Bruce T. 2 Richardson, Walter B. jun. 2 Sepehrnoori, Kamy 2 Stogner, Roy H. 2 van de Geijn, Robert Alexander 2 Vassilevski, Panayot Spirov 2 Wang, Xiaowen 2 Wheeler, Mary Fanett 2 Zienkiewicz, Olgierd Cecil 1 Abel, John F. 1 Barth, Barbara 1 Becker, Eric B. 1 Bernadou, Michel 1 Camata, Jose J. 1 Carroll, W. E. 1 Catabriga, Lucia 1 de Almeida, Valmor F. 1 Deák, István 1 Elias, Renato N. 1 Escobar, José María 1 Faner, Marian 1 Farnum, P. 1 Ferragut, Luis 1 Fowkes, Neville Donald 1 Glowinski, Roland 1 Goldberg, Irwin S. 1 Grossmann, Christian 1 Hayes, Linda J. 1 Highnam, Peter 1 Hu, T. David 1 Iqbal, Saeed 1 Jeromin, I. I. 1 Jevtushenko, Ju. G. 1 Kaltinska, Rumena N. 1 Kamiński, Marcin Marek 1 Kavouklis, Christos 1 Kazancev, V. S. 1 Kennon, Stephen R. 1 Kikuchi, Noboru 1 Kincaid, David Ronald 1 Langensiepen, Gerd 1 Le Tallec, Patrick 1 Lewis, Roland W. 1 Lin, Anna L. 1 Lindskog, Gunhild 1 Lommatzsch, Klaus 1 Loula, Abimael Fernando Dourado 1 Lukšan, Ladislav 1 Malgut, G. 1 Maros, István 1 Martin, Harold C. 1 Molinari, Giorgio ...and 37 more Co-Authors all top 5 Serials 37 International Journal for Numerical Methods in Fluids 32 International Journal for Numerical Methods in Engineering 29 Computer Methods in Applied Mechanics and Engineering 18 Communications in Numerical Methods in Engineering 9 Communications in Applied Numerical Methods 8 Numerical Methods for Partial Differential Equations 7 International Journal of Numerical Methods for Heat & Fluid Flow 5 Computers and Fluids 4 Journal of Computational and Applied Mathematics 4 SIAM Journal on Scientific Computing 3 Journal of Computational Physics 3 Studia Scientiarum Mathematicarum Hungarica 3 Applied Numerical Mathematics 3 Journal of Parallel and Distributed Computing 3 International Journal of Computer Mathematics 2 Numerische Mathematik 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific and Statistical Computing 2 COMPEL 2 Applied Mathematical Modelling 2 Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería 1 Acta Mechanica 1 AIAA Journal 1 Computers and Structures 1 Journal of the Australian Mathematical Society, Series B 1 BIT 1 Computing 1 Computer Aided Geometric Design 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 IMPACT of Computing in Science and Engineering 1 Alkalmazott Matematikai Lapok. A Magyar Tudomanyos Akademia. Matematikai es Fizikai Tudomanyok Osztalyanak Közlemenyei 1 Numerical Linear Algebra with Applications 1 ETNA. Electronic Transactions on Numerical Analysis 1 International Journal of Computational Fluid Dynamics 1 International Journal of Numerical Modelling 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Matematicheskoe Modelirovanie 1 Seminarbericht, Humboldt-Universität zu Berlin, Sektion Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications 1 Series in Computational and Physical Processes in Mechanics and Thermal Sciences all top 5 Fields 151 Numerical analysis (65-XX) 109 Fluid mechanics (76-XX) 69 Partial differential equations (35-XX) 38 Mechanics of deformable solids (74-XX) 16 Classical thermodynamics, heat transfer (80-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 12 Ordinary differential equations (34-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 Operations research, mathematical programming (90-XX) 6 General and overarching topics; collections (00-XX) 6 Computer science (68-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Geophysics (86-XX) 3 Optics, electromagnetic theory (78-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Functions of a complex variable (30-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 187 Publications have been cited 1,990 times in 1,407 Documents Cited by ▼ Year ▼ High-order compact scheme for the steady stream-function vorticity equations. Zbl 0836.76065Spotz, W. F.; Carey, G. F. 138 1995 Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. 85 1994 A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066Spotz, W. F.; Carey, G. F. 69 1996 Computational grids. Generation, adaption, and solution strategies. Zbl 0955.74001Carey, Graham F. 59 1997 Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101Spotz, W. F.; Carey, G. F. 56 2001 Finite elements. Mathematical aspects. Zbl 0496.65055Oden, J. Tinsley; Carey, Graham F. 56 1983 Finite elements. Computational aspects. Zbl 0558.73064Carey, Graham F.; Oden, J. Tinsley 55 1984 Grading functions and mesh redistribution. Zbl 0577.65076Carey, Graham F.; Dinh, Hung T. 54 1985 Finite elements. An introduction. Vol. I. Zbl 0459.65070Becker, Eric B.; Carey, Graham F.; Oden, J. Tinsley 48 1981 Stream function-vorticity driven cavity solution using \(p\) finite elements. Zbl 0898.76053Barragy, E.; Carey, G. F. 44 1997 Finite elements. Vol. II: A second course. Zbl 0515.65075Carey, Graham F.; Oden, J. Tinsley 41 1983 Local refinement of simplicial grids based on the skeleton. Zbl 0940.65142Plaza, A.; Carey, G. F. 38 2000 Formulation and experiments with high-order compact schemes for nonuniform grids. Zbl 0943.76060Spotz, W. F.; Carey, G. F. 35 1998 Least-squares finite elements for first-order hyperbolic systems. Zbl 0641.65080Carey, Graham F.; Jiang, B. N. 31 1988 Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates. Zbl 0878.65096Pehlivanov, A. I.; Carey, G. F.; Vassilevski, P. S. 30 1996 Approximate boundary-flux calculations. Zbl 0546.73057Carey, G. F.; Chow, S. S.; Seager, M. K. 28 1985 Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079Pehlivanov, A. I.; Lazarov, R. D.; Carey, G. F.; Chow, S. S. 25 1992 Adaptive refinement for least-squares finite elements with element-by- element conjugate gradient solution. Zbl 0624.65113Jiang, B.-N.; Carey, G. F. 24 1987 Least-squares finite element approximation of Fisher’s reaction-diffusion equation. Zbl 0819.65124Carey, G. F.; Shen, Yun 23 1995 Approximation of Cahn-Hilliard diffuse interface models using parallel adaptive mesh refinement and coarsening with \(C^{1}\) elements. Zbl 1195.74132Stogner, Roy H.; Carey, Graham F.; Murray, Bruce T. 23 2008 Superconvergent derivatives: A Taylor series analysis. Zbl 0709.73073Mackinnon, R. J.; Carey, G. F. 23 1989 Element-by-element linear and nonlinear solution schemes. Zbl 0591.65075Carey, Graham F.; Jiang, Bonan 22 1986 Penalty approximation of Stokes flow. Zbl 0478.76040Carey, G. F.; Krishnan, R. 22 1982 Derivative calculation from finite element solutions. Zbl 0478.73052Carey, G. F. 21 1982 Performance of iterative methods for Newtonian and generalized Newtonian flows. Zbl 0658.76005Carey, G. F.; Wang, K. C.; Joubert, W. D. 20 1989 An entropy variable formulation and applications for the two-dimensional shallow water equations. Zbl 0871.76041Bova, S. W.; Carey, G. F. 19 1996 Error estimates for least-squares mixed finite elements. Zbl 0820.65065Pehlivanov, A. I.; Carey, G. F. 18 1994 Analysis of material interface dicontinuities and superconvergent fluxes in finite difference theory. Zbl 0632.76110MacKinnon, R. J.; Carey, G. F. 18 1988 Approximations of the KdV equation by least squares finite elements. Zbl 0747.76062Carey, G. F.; Shen, Y. 18 1991 Nodal superconvergence and solution enhancement for a class of finite- element and finite-difference methods. Zbl 0701.65071MacKinnon, R. J.; Carey, G. F. 17 1990 Least-squares mixed finite element methods for non-selfadjoint elliptic problems. II: Performance of block-ILU factorization methods. Zbl 0840.65109Carey, G. F.; Pehlivanov, A. I.; Vassilevski, P. S. 16 1995 A stable least-squares finite element method for nonlinear hyperbolic problems. Zbl 0666.76087Jiang, B. N.; Carey, Graham F. 16 1988 Control strategies for timestep selection in finite element simulation of incompressible flows and coupled reaction-convection-diffusion processes. Zbl 1065.76144Valli, A. M. P.; Carey, G. F.; Coutinho, A. L. G. A. 16 2005 Convergence studies of least-squares finite elements for first-order systems. Zbl 0684.65083Carey, G. F.; Shen, Y. 16 1989 Boundary penalty techniques. Zbl 0478.65066Utku, M.; Carey, G. F. 16 1982 A mesh-refinement scheme for finite element computations. Zbl 0312.65076Carey, Graham F. 15 1976 Least-squares finite element method and preconditioned conjugate gradient solution. Zbl 0633.65111Carey, G. F.; Jiang, B. N. 15 1987 Convergence of iterative methods in penalty finite element approximation of the Navier-Stokes equations. Zbl 0593.76037Carey, G. F.; Krishnan, R. 15 1987 Least-squares \(p-r\) finite element methods for incompressible non-Newtonian flows. Zbl 0966.76045Bose, A.; Carey, G. F. 14 1999 A parallel element-by-element solution scheme. Zbl 0662.73051Barragy, E.; Carey, Graham F. 14 1988 An analysis of finite element equations and mesh subdivision. Zbl 0334.65085Carey, Graham F. 14 1976 Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y. 13 1993 Iterative and parallel performance of high-order compact systems. Zbl 0947.65113Spotz, W. F.; Carey, G. F. 13 1998 Mesh refinement and iterative solution methods for finite element computations. Zbl 0469.73056Carey, Graham F.; Humphrey, David L. 13 1981 Nonlinear preconditioned conjugate gradient and least-squares finite elements. Zbl 0633.65112Carey, G. F.; Jiang, B.-N. 13 1987 Penalty finite element method for the Navier-Stokes equations. Zbl 0518.76023Carey, G. F.; Krishnan, R. 13 1984 Analysis of spurious oscillation modes for the shallow water and Navier- Stokes equations. Zbl 0521.76017Walters, Roy A.; Carey, Graham F. 12 1983 Finite elements. Special problems in solid mechanics. Zbl 0535.73050Oden, J. Tinsley; Carey, Graham F. 12 1984 Higher-order compact mixed methods. Zbl 0885.65109Carey, G. F.; Spotz, W. F. 11 1997 Numerical effects in the simulation of Ginzburg-Landau models for superconductivity. Zbl 1056.65082Richardson, Walter B.; Pardhanani, Anand L.; Carey, Graham F.; Ardelea, Alexandre 11 2004 Optimization of computational grids. Zbl 0645.65081Pardhanani, Anand; Carey, Graham F. 11 1988 Basis function selection and preconditioning high degree finite element and spectral methods. Zbl 0708.65105Carey, G. F.; Barragy, E. 11 1989 A 3D refinement/derefinement algorithm for solving evolution problems. Zbl 0946.65076Plaza, Angel; Padrón, Miguel A.; Carey, Graham F. 10 2000 A stable multigrid strategy for convection-diffusion using high order compact discretization. Zbl 0888.65125Pardhanani, Anand L.; Spotz, William F.; Carey, Graham F. 10 1997 Treatment of material discontinuities in finite element computations. Zbl 0602.73065MacKinnon, R. J.; Carey, G. F. 10 1987 Element-by-element vector and parallel computations. Zbl 0638.73042Carey, G. F.; Barragy, E.; McLay, R.; Sharma, M. 10 1988 Parallelizable restarted iterative methods for nonsymmetric linear systems. I: Theory. Zbl 0759.65008Joubert, Wayne D.; Carey, Graham F. 10 1992 \(C^{1}\) macroelements in adaptive finite element methods. Zbl 1194.76141Stogner, Roy H.; Carey, Graham F. 10 2007 A class of data structures for 2-D and 3-D adaptive mesh refinement. Zbl 0673.73055Carey, G. F.; Sharma, M.; Wang, K. C. 10 1988 Stability/dispersion analysis of the discontinuous Galerkin linearized shallow-water system. Zbl 1065.76142Le Roux, Daniel Y.; Carey, G. F. 9 2005 On the numerical solutions of two-point singularly perturbed boundary value problems. Zbl 0553.76034Axelsson, O.; Carey, G. F. 9 1985 Kernel analysis of the discretized finite difference and finite element shallow-water models. Zbl 1191.35025Rostand, Virgile; Le Roux, Daniel Y.; Carey, Graham 9 2008 Least-squares finite elements for fluid flow and transport. Zbl 0904.76043Carey, G. F.; Pehlivanov, A. I.; Shen, Y.; Bose, A.; Wang, K. C. 9 1998 A least squares finite element method for viscoelastic fluid flow problems. Zbl 0798.76044Wang, K. C.; Carey, G. F. 8 1993 Locally constrained projections on grids. Zbl 1006.76051Carey, G. F.; Bicken, G.; Carey, V.; Berger, C.; Sanchez, J. 8 2001 ODE recursions and iterative solvers for linear equations. Zbl 0842.65055Lorber, Alfred A.; Carey, Graham F.; Joubert, Wayne D. 8 1996 A partitioning scheme and iterative solution for sparse bordered systems. Zbl 0636.65024Barragy, E.; Carey, G. F. 8 1988 Natural and postprocessed superconvergence in semilinear problems. Zbl 0746.65078Chow, S.-S.; Carey, G. F.; Lazarov, R. D. 8 1991 A geometric diagram and hybrid scheme for triangle subdivision. Zbl 1171.65349Plaza, ángel; Suárez, José P.; Carey, Graham F. 8 2007 On a boundary condition for pressure-driven laminar flow of incompressible fluids. Zbl 1116.76019Barth, William L.; Carey, Graham F. 8 2007 Least-squares finite element methods for compressible Euler equations. Zbl 0692.76068Jiang, Bo-Nan; Carey, G. F. 8 1990 On Penalty methods for interelement constraints. Zbl 0483.73071Carey, G. F.; Kabaila, A.; Utku, M. 8 1982 Penalty resolution of the Babushka circle paradox. Zbl 0509.73075Utku, M.; Carey, G. F. 8 1983 Numerical approximation of generalized Newtonian fluids using Powell-Sabin-Heindl elements. I: Theoretical estimates. Zbl 1047.76040Chow, S.-S.; Carey, G. F. 7 2003 Mesh generation/refinement using fractal concepts and iterated function systems. Zbl 0756.65132Bova, S. W.; Carey, G. F. 7 1992 Local error estimation and adaptive remeshing scheme for least-squares mixed finite elements. Zbl 0907.65101Carey, G. F.; Pehlivanov, A. I. 7 1997 An enhanced polygonal finite volume method for unstructured hybrid meshes. Zbl 1110.76034Ahn, Hyung Taek; Carey, Graham F. 7 2007 Development and validation of a SUPG finite element scheme for the compressible Navier-Stokes equations using a modified inviscid flux discretization. Zbl 1144.76032Kirk, Benjamin S.; Carey, Graham F. 7 2008 Semiconductor device modeling using flux upwind finite elements. Zbl 0703.65083Sharma, M.; Carey, G. F. 7 1989 Multigrid solution and grid redistribution for convection-diffusion. Zbl 0706.76093Carey, G. F.; Pardhanani, A. 7 1989 On a class of preconditioned iterative methods on parallel computers. Zbl 0714.65037Axelsson, O.; Carey, G.; Lindskog, G. 7 1989 Stochastic perturbation-based finite element approach to fluid flow problems. Zbl 1231.76240Kaminski, Marcin; Carey, Graham F. 7 2005 Adaptive refinement and nonlinear fluid problems. Zbl 0423.76080Carey, Graham F. 6 1979 Some aspects of adaptive grid technology related to boundary and interior layers. Zbl 1049.65100Carey, Graham F.; Anderson, M.; Carnes, B.; Kirk, B. 6 2004 Positivity-preserving, flux-limited finite difference and finite element methods for reactive transport. Zbl 1025.76029MacKinnon, Robert J.; Carey, Graham F. 6 2003 Continuation techniques for a penalty approximation of the Navier-Stokes equations. Zbl 0542.76039Carey, G. F.; Krishnan, R. 6 1985 Adaptive finite element methodology for tumour angiogenesis modelling. Zbl 1194.74461Peterson, J. W.; Carey, G. F.; Knezevic, D. J.; Murray, B. T. 6 2007 Finite element analysis of diffusion with reaction at a moving boundary. Zbl 0681.65096Murray, Paul; Carey, G. F. 6 1988 Variable upwinding and adaptive mesh refinement in convection-diffusion. Zbl 0505.76102Carey, G. F.; Plover, T. 6 1983 Control strategies for timestep selection in simulation of coupled viscous flow and heat transfer. Zbl 1045.76023Valli, A. M. P.; Carey, G. F.; Coutinho, A. L. G. A. 6 2002 Some further properties of the superconvergent flux projection. Zbl 0996.65109Carey, Graham F. 6 2002 Shape optimization using adaptive shape refinement. Zbl 0780.73051Kohli, H. S.; Carey, G. F. 5 1993 Variational principles for the transonic airfoil problem. Zbl 0385.76060Carey, Graham F. 5 1978 Gershgorin theory for stiffness and stability of evolution systems and convection-diffusion. Zbl 0433.73078Carey, G. F.; Sepehrnoori, K. 5 1980 A perspective on adaptive modeling and meshing (AM& M). Zbl 1193.65167Carey, Graham 5 2006 Modelling error and constitutive relations in simulation of flow and transport. Zbl 1064.76064Carey, Graham F.; Barth, William; Woods, Juliette A.; Kirk, Benjamin S.; Anderson, Michael L.; Chow, Sum; Bangerth, Wolfgang 5 2004 Analysis of parameter sensitivity and experimental design for a class of nonlinear partial differential equations. Zbl 1128.76316Anderson, Michael L.; Bangerth, Wolfgang; Carey, Graham F. 5 2005 Adaptive mesh redistribution for a boundary element (panel) method. Zbl 0646.65081Carey, G. F.; Kennon, S. 5 1987 Parallelizable restarted iterative methods for nonsymmetric linear systems. II: Parallel implementation. Zbl 0759.65009Joubert, Wayne D.; Carey, Graham F. 5 1992 Propagation of longest-edge mesh patterns in local adaptive refinement. Zbl 1145.65106Suárez, J. P.; Plaza, A.; Carey, G. F. 5 2008 Parallel adaptive solution of coupled Rayleigh-Bénard-Marangoni problems with the Navier-slip. Zbl 1328.76044Peterson, J. W.; Carey, G. F. 2 2011 Flexible patch post-processing recovery strategies for solution enhancement and adaptive mesh refinement. Zbl 1242.76114Carey, Varis; Carey, Graham F. 1 2011 Condition number bounds and mesh quality. Zbl 1240.65328Branets, Larisa V.; Carey, Graham F. 3 2010 Moving boundary simulations with dynamic mesh smoothing. Zbl 1342.74176Ahn, Hyung Taek; Branets, Larisa; Carey, Graham F. 2 2010 Multiscale and hysteresis effects in vortex pattern simulations for Ginzburg-Landau problems. Zbl 1183.76800Carey, Graham F.; Knezevic, David J. 1 2010 PID adaptive control of incremental and arclength continuation in nonlinear applications. Zbl 1329.93073Valli, A. M. P.; Elias, R. N.; Carey, G. F.; Coutinho, A. L. G. A. 2 2009 A parallel, adaptive finite element scheme for modeling chemotactic biological systems. Zbl 1179.92009Kirk, Benjamin S.; Carey, Graham F. 1 2009 Approximation of Cahn-Hilliard diffuse interface models using parallel adaptive mesh refinement and coarsening with \(C^{1}\) elements. Zbl 1195.74132Stogner, Roy H.; Carey, Graham F.; Murray, Bruce T. 23 2008 Kernel analysis of the discretized finite difference and finite element shallow-water models. Zbl 1191.35025Rostand, Virgile; Le Roux, Daniel Y.; Carey, Graham 9 2008 Development and validation of a SUPG finite element scheme for the compressible Navier-Stokes equations using a modified inviscid flux discretization. Zbl 1144.76032Kirk, Benjamin S.; Carey, Graham F. 7 2008 Propagation of longest-edge mesh patterns in local adaptive refinement. Zbl 1145.65106Suárez, J. P.; Plaza, A.; Carey, G. F. 5 2008 On decoupled time step/subcycling and iteration strategies for multiphysics problems. Zbl 1152.76038Valli, A. M. P.; Carey, G. F.; Coutinho, A. L. G. A. 4 2008 Non-Newtonian flow in branched pipes and artery models. Zbl 1198.76163Barth, William L.; Branets, Larisa V.; Carey, Graham F. 3 2008 Combining CVFEM and meshless front tracking in Hele-Shaw mold filling simulation. Zbl 1143.76040Estacio, K. C.; Nonato, L. G.; Mangiavacchi, N.; Carey, G. F. 2 2008 Local boundary value problems for the error in FE approximation of nonlinear diffusion systems. Zbl 1159.76020Carnes, B.; Carey, G. F. 2 2008 \(C^{1}\) macroelements in adaptive finite element methods. Zbl 1194.76141Stogner, Roy H.; Carey, Graham F. 10 2007 A geometric diagram and hybrid scheme for triangle subdivision. Zbl 1171.65349Plaza, ángel; Suárez, José P.; Carey, Graham F. 8 2007 On a boundary condition for pressure-driven laminar flow of incompressible fluids. Zbl 1116.76019Barth, William L.; Carey, Graham F. 8 2007 An enhanced polygonal finite volume method for unstructured hybrid meshes. Zbl 1110.76034Ahn, Hyung Taek; Carey, Graham F. 7 2007 Adaptive finite element methodology for tumour angiogenesis modelling. Zbl 1194.74461Peterson, J. W.; Carey, G. F.; Knezevic, D. J.; Murray, B. T. 6 2007 Estimating spatial and parameter error in parameterized nonlinear reaction-diffusion equations. Zbl 1130.65111Carnes, B. R.; Carey, G. F. 4 2007 A perspective on adaptive modeling and meshing (AM& M). Zbl 1193.65167Carey, Graham 5 2006 A note on least squares methods. Zbl 1090.65129Carey, G. F.; Richardson, W. B. jun. 1 2006 Control strategies for timestep selection in finite element simulation of incompressible flows and coupled reaction-convection-diffusion processes. Zbl 1065.76144Valli, A. M. P.; Carey, G. F.; Coutinho, A. L. G. A. 16 2005 Stability/dispersion analysis of the discontinuous Galerkin linearized shallow-water system. Zbl 1065.76142Le Roux, Daniel Y.; Carey, G. F. 9 2005 Stochastic perturbation-based finite element approach to fluid flow problems. Zbl 1231.76240Kaminski, Marcin; Carey, Graham F. 7 2005 Analysis of parameter sensitivity and experimental design for a class of nonlinear partial differential equations. Zbl 1128.76316Anderson, Michael L.; Bangerth, Wolfgang; Carey, Graham F. 5 2005 On Marangoni effects in a heated thin fluid layer with a monolayer surfactant. I: Model development and stability analysis. Zbl 1063.76033Wang, Xiaowen; Carey, Graham F. 2 2005 On Marangoni effects in a heated fluid layer with a monolayer surfactant. II: Finite element formulation and numerical studies. Zbl 1063.76034Wang, Xiaowen; Carey, Graham F. 1 2005 Performance analysis of dynamic load balancing algorithms with variable number of processors. Zbl 1072.68512Iqbal, Saeed; Carey, Graham F. 1 2005 Numerical effects in the simulation of Ginzburg-Landau models for superconductivity. Zbl 1056.65082Richardson, Walter B.; Pardhanani, Anand L.; Carey, Graham F.; Ardelea, Alexandre 11 2004 Some aspects of adaptive grid technology related to boundary and interior layers. Zbl 1049.65100Carey, Graham F.; Anderson, M.; Carnes, B.; Kirk, B. 6 2004 Modelling error and constitutive relations in simulation of flow and transport. Zbl 1064.76064Carey, Graham F.; Barth, William; Woods, Juliette A.; Kirk, Benjamin S.; Anderson, Michael L.; Chow, Sum; Bangerth, Wolfgang 5 2004 Finite element approximations of a glaciology problem. Zbl 1130.86300Chow, Sum S.; Carey, Graham F.; Anderson, Michael L. 3 2004 The influence of the order of fill-in on the convergence rate for ILU preconditioned iterative solvers. Zbl 1084.76051Wille, S. Ø.; Staff, Ø.; Loula, A. F. D.; Carey, G. F. 2 2004 A class of coupled nonlinear reaction diffusion models exhibiting fingering. Zbl 1107.76418Carey, Graham; Fowkes, Neville; Staelens, Amanda; Pardhanani, Anand 1 2004 Numerical approximation of generalized Newtonian fluids using Powell-Sabin-Heindl elements. I: Theoretical estimates. Zbl 1047.76040Chow, S.-S.; Carey, G. F. 7 2003 Positivity-preserving, flux-limited finite difference and finite element methods for reactive transport. Zbl 1025.76029MacKinnon, Robert J.; Carey, Graham F. 6 2003 Dispersion analysis of the least-squares finite-element shallow-water system. Zbl 1033.76025Le Roux, D. Y.; Carey, G. F. 3 2003 Nested grid iteration for incompressible viscous flow and transport. Zbl 1043.76519Kirk, B.; Lipnikov, K.; Carey, G. F. 3 2003 A class of parallel multiple-front algorithms on subdomains. Zbl 1035.76026Bose, A.; Carey, G. F.; de Almeida, V. F. 1 2003 Control strategies for timestep selection in simulation of coupled viscous flow and heat transfer. Zbl 1045.76023Valli, A. M. P.; Carey, G. F.; Coutinho, A. L. G. A. 6 2002 Some further properties of the superconvergent flux projection. Zbl 0996.65109Carey, Graham F. 6 2002 Hexing the tet. Zbl 0996.65133Carey, Graham F. 3 2002 Extension of high-order compact schemes to time-dependent problems. Zbl 0998.65101Spotz, W. F.; Carey, G. F. 56 2001 Locally constrained projections on grids. Zbl 1006.76051Carey, G. F.; Bicken, G.; Carey, V.; Berger, C.; Sanchez, J. 8 2001 Graph-based data structures for skeleton-based refinement algorithms. Zbl 0995.65126Suárez, J. P.; Carey, G. F.; Plaza, A. 5 2001 Distributed parallel simulation of surface tension driven viscous flow and transport processes. Zbl 1019.76027Carey, G. F.; McLay, R.; Barth, W.; Swift, S.; Kirk, B. 1 2001 Local refinement of simplicial grids based on the skeleton. Zbl 0940.65142Plaza, A.; Carey, G. F. 38 2000 A 3D refinement/derefinement algorithm for solving evolution problems. Zbl 0946.65076Plaza, Angel; Padrón, Miguel A.; Carey, Graham F. 10 2000 A distributed memory parallel element-by-element scheme for semiconductor device simulation. Zbl 0972.82574Bova, S. W.; Carey, G. F. 4 2000 Parallel multilevel solution of Rayleigh-Bénard-Marangoni problems. Zbl 0987.76049Davis, M. B.; Carey, G. F. 2 2000 Mapped discretization strategies for curvilinear adaptively redistributed grids in semiconductor device modeling. Zbl 0972.82575Pardhanani, Anand L.; Carey, Graham F. 1 2000 Least-squares \(p-r\) finite element methods for incompressible non-Newtonian flows. Zbl 0966.76045Bose, A.; Carey, G. F. 14 1999 Parallel finite element solution of three-dimensional Rayleigh-Bénard-Marangoni flows. Zbl 0984.76041Carey, G. F.; McLay, R.; Bicken, G.; Barth, B.; Swift, S.; Ardelea, A. 3 1999 A class of data structures and object-oriented implementation for finite element methods on distributed memory systems. Zbl 0946.65110Bose, A.; Carey, G. F. 1 1999 Resonant pattern formation in a spatially extended chemical system. Zbl 1002.92572Lin, Anna L.; Petrov, Valery; Swinney, Harry L.; Ardelea, Alexandre; Carey, Graham F. 1 1999 Joint elements, stress post-processing and superconvergent extraction with application to Mohr-Coulomb failure. Zbl 0926.74102Carey, G. F.; Ma, M. 1 1999 Formulation and experiments with high-order compact schemes for nonuniform grids. Zbl 0943.76060Spotz, W. F.; Carey, G. F. 35 1998 Iterative and parallel performance of high-order compact systems. Zbl 0947.65113Spotz, W. F.; Carey, G. F. 13 1998 Least-squares finite elements for fluid flow and transport. Zbl 0904.76043Carey, G. F.; Pehlivanov, A. I.; Shen, Y.; Bose, A.; Wang, K. C. 9 1998 Free-surface flow over curved surfaces. I: Perturbation analysis. II: Computational model. Zbl 0923.76115Berger, R. C.; Carey, G. F. 3 1998 Parallel conjugate gradient performance for least-squares finite elements and transport problems. Zbl 0922.76241Carey, G. F.; Shen, Y.; McLay, R. T. 3 1998 Accelerated solution of nonlinear flow problems using Chebyshev iteration polynomial-based Runge-Kutta recursions. Zbl 0963.76070Lorber, A. A.; Carey, G. F.; Bova, S. W.; Harlé, C. 1 1998 Computational grids. Generation, adaption, and solution strategies. Zbl 0955.74001Carey, Graham F. 59 1997 Stream function-vorticity driven cavity solution using \(p\) finite elements. Zbl 0898.76053Barragy, E.; Carey, G. F. 44 1997 Higher-order compact mixed methods. Zbl 0885.65109Carey, G. F.; Spotz, W. F. 11 1997 A stable multigrid strategy for convection-diffusion using high order compact discretization. Zbl 0888.65125Pardhanani, Anand L.; Spotz, William F.; Carey, Graham F. 10 1997 Local error estimation and adaptive remeshing scheme for least-squares mixed finite elements. Zbl 0907.65101Carey, G. F.; Pehlivanov, A. I. 7 1997 An adaptive finite element scheme for hydraulic fracturing with proppant transport. Zbl 0889.76037Ouyang, S.; Carey, G. F.; Yew, C. H. 2 1997 A note on Richardson extrapolation as an error estimator for nonlinear reaction-diffusion problems. Zbl 0887.65109Abbasian, R. O.; Carey, G. F. 1 1997 A high-order compact formulation for the 3D Poisson equation. Zbl 0866.65066Spotz, W. F.; Carey, G. F. 69 1996 Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates. Zbl 0878.65096Pehlivanov, A. I.; Carey, G. F.; Vassilevski, P. S. 30 1996 An entropy variable formulation and applications for the two-dimensional shallow water equations. Zbl 0871.76041Bova, S. W.; Carey, G. F. 19 1996 ODE recursions and iterative solvers for linear equations. Zbl 0842.65055Lorber, Alfred A.; Carey, Graham F.; Joubert, Wayne D. 8 1996 Efficient simulation of complex patterns in reaction-diffusion systems. Zbl 0870.65080Pardhanani, Anand L.; Carey, Graham F. 2 1996 Multilevel solution of augmented drift-diffusion equations. Zbl 0859.65130Davis, M. B.; Carey, G. F. 1 1996 Finite element analysis of anisotropic fluid suspensions. Zbl 0863.76031Carey, G. F.; Hu, T. David; McLay, R. 1 1996 High-order compact scheme for the steady stream-function vorticity equations. Zbl 0836.76065Spotz, W. F.; Carey, G. F. 138 1995 Least-squares finite element approximation of Fisher’s reaction-diffusion equation. Zbl 0819.65124Carey, G. F.; Shen, Yun 23 1995 Least-squares mixed finite element methods for non-selfadjoint elliptic problems. II: Performance of block-ILU factorization methods. Zbl 0840.65109Carey, G. F.; Pehlivanov, A. I.; Vassilevski, P. S. 16 1995 Parallel, scalable parabolized Navier-Stokes solver for large-scale simulations. Zbl 0824.76071Stagg, A. K.; Cline, D. D.; Carey, G. F.; Shadid, J. N. 3 1995 A vector-parallel scheme for Navier-Stokes computations at multi-gigaflop performance rates. Zbl 0847.76054Lorber, A. A.; Carey, G. F. 3 1995 Parallel performance and scalability for block preconditioned finite element \((p)\) solution of viscous flow. Zbl 0824.76043Barragy, E.; Carey, G. F.; Van de Geijn, R. 2 1995 Simulation of fluid mixing using least-squares finite elements and particle tracing. Zbl 0848.76035Carey, G. F.; Shen, Y. 2 1995 Some conformal map constructs for numerical grids. Zbl 0823.65118Carey, G. F.; Muleshkov, A. 1 1995 Implementing a parabolized Navier-Stokes flow solver on the Cray T3D. Zbl 0838.76053Stagg, A. K.; Cline, D. D.; Carey, G. F. 1 1995 Least-squares mixed finite elements for second-order elliptic problems. Zbl 0806.65108Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D. 85 1994 Error estimates for least-squares mixed finite elements. Zbl 0820.65065Pehlivanov, A. I.; Carey, G. F. 18 1994 A prototype scalable, object-oriented finite element solver on multicomputers. Zbl 0802.65107Carey, Graham; Schmidt, Joe; Singh, Vineet; Yelton, Dennis 4 1994 Performance and scalability of finite element analysis for distributed parallel computation. Zbl 0803.65104Barragy, E.; Carey, G. F.; Van de Geijn, R. 1 1994 Least-squares mixed finite elements. Zbl 0815.65111Carey, G. F.; Pehlivanov, A.; Shen, Y. 1 1994 Convergence analysis of least-squares mixed finite elements. Zbl 0790.65079Pehlivanov, A. I.; Carey, G. F.; Lazarov, R. D.; Shen, Y. 13 1993 A least squares finite element method for viscoelastic fluid flow problems. Zbl 0798.76044Wang, K. C.; Carey, G. F. 8 1993 Shape optimization using adaptive shape refinement. Zbl 0780.73051Kohli, H. S.; Carey, G. F. 5 1993 Iterative solution of the stream function–vorticity equations using a multigrid solver with finite elements. Zbl 0777.76049Davis, M. B.; Carey, G. F. 4 1993 Stream function vorticity solution using high-\(p\) element-by-element techniques. Zbl 0777.76048Barragy, E.; Carey, G. F. 4 1993 Superconvergence phenomena in nonlinear two-point boundary-value problems. Zbl 0785.65088Chow, S. S.; Carey, G. F. 4 1993 Superconvergence analysis of approximate boundary-flux calculations. Zbl 0797.65079Pehlivanov, A. I.; Lazarov, R. D.; Carey, G. F.; Chow, S. S. 25 1992 Parallelizable restarted iterative methods for nonsymmetric linear systems. I: Theory. Zbl 0759.65008Joubert, Wayne D.; Carey, Graham F. 10 1992 ...and 87 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,039 Authors 90 Carey, Graham Francis 35 Zhang, Jun 29 Plaza, Ángel 17 Coutinho, Alvaro L. G. A. 17 Suárez, José Pablo 15 Kalita, Jiten C. 15 Li, Zi-Cai 14 Hughes, Thomas J. R. 14 Yang, Suh-Yuh 13 Ge, Yongbin 13 Oden, John Tinsley 13 Wille, Sven Øivind 11 Mohanty, Ranjan Kumar 10 Tian, Zhenfu 9 Bochev, Pavel B. 9 Ku, Jaeun 9 Loula, Abimael Fernando Dourado 9 Padrón, Miguel A. 8 Li, Jichun 8 Rui, Hongxing 8 Shi, Dongyang 7 Axelsson, Axel Owe Holger 7 Bhuruth, Muddun 7 Chen, Tsu-Fen 7 Chow, Sum S. 7 Dai, Ruxin 7 Elias, Renato N. 7 Guo, Hui 7 Jiang, Bo-Nan 7 Lazarov, Raytcho D. 7 Reddy, Junuthula Narasimha 7 Sun, Weiwei 7 Wang, Yin 6 Ahn, Hyung Taek 6 Barragy, E. J. 6 Belytschko, Ted Bohdan 6 Cheng, Xiaoliang 6 Demkowicz, Leszek F. 6 Gerritsma, Marc I. 6 Huang, Hung-Tsai 6 Karaa, Samir 6 Le Roux, Daniel Y. 6 Lee, Hsueh-Chen 6 Ohm, Mi-Ray 6 Shen, Yun 6 Turek, Stefan 6 Ye, Xiu 6 Yu, Peixiang 5 Adjerid, Slimane 5 Braack, Malte 5 Chang, Ching Lung 5 Dehghan Takht Fooladi, Mehdi 5 Falcon, Sergio 5 Franca, Leopoldo Luis Cabo Penna 5 Gao, Huadong 5 Gopaul, Ashvin 5 Gravvanis, George A. 5 Huerta, Antonio 5 Kamiński, Marcin Marek 5 Khuri, Suheil A. 5 Kirk, Benjamin S. 5 Korotov, Sergey 5 Křížek, Michal 5 Larson, Mats G. 5 Liu, Jinn-Liang 5 Pehlivanov, A. I. 5 Sayfy, Ali M. S. 5 Setia, Nikita 5 Shin, Jun Yong 5 Surana, Karan S. 5 Wang, Yuanming 5 Yang, Danping 5 Zhang, Zhimin 4 Bazilevs, Yuri 4 Becker, Roland 4 Carson, Erin Claire 4 Croisille, Jean-Pierre 4 Cui, Mingrong 4 Dai, Xiaoxia 4 Donea, Jean 4 Düring, Bertram 4 Evans, John A. 4 Ge, Lixin 4 Gunzburger, Max D. 4 Guo, Xueping 4 Gupta, Murli M. 4 Hauke, Guillermo 4 He, Yinnian 4 Huang, Weizhang 4 Kim, Junseok 4 Kim, Seokchan 4 Kouatchou, Jules 4 Kuzmin, Dmitri 4 Li, Buyang 4 Li, Likang 4 Li, Yibao 4 Ma, Tingfu 4 Mohammadian, Abdolmajid M. 4 Rabczuk, Timon 4 Ray, Rajendra K. ...and 1,939 more Authors all top 5 Cited in 172 Serials 225 Computer Methods in Applied Mechanics and Engineering 117 Journal of Computational Physics 90 Journal of Computational and Applied Mathematics 83 Applied Mathematics and Computation 70 Computers & Mathematics with Applications 50 International Journal for Numerical Methods in Engineering 47 International Journal for Numerical Methods in Fluids 45 Communications in Numerical Methods in Engineering 40 Computers and Fluids 39 Applied Numerical Mathematics 31 Journal of Scientific Computing 30 Numerical Methods for Partial Differential Equations 28 Computational Mechanics 28 International Journal of Computer Mathematics 25 Engineering Analysis with Boundary Elements 22 Applied Mathematical Modelling 17 Mathematics and Computers in Simulation 15 International Journal of Numerical Methods for Heat & Fluid Flow 14 Mathematics of Computation 12 Numerische Mathematik 11 SIAM Journal on Scientific Computing 10 International Journal of Computational Fluid Dynamics 9 Mathematical and Computer Modelling 9 Archives of Computational Methods in Engineering 8 Computing 8 Numerical Functional Analysis and Optimization 8 SIAM Journal on Numerical Analysis 8 Applied Mathematics Letters 8 Numerical Algorithms 7 COMPEL 7 Numerical Linear Algebra with Applications 7 Advances in Difference Equations 6 Applied Mathematics and Mechanics. 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Fluids 2 Mathematical Modelling and Analysis 2 Computational Methods in Applied Mathematics 2 Journal of Applied Mathematics 2 Journal of Numerical Mathematics 2 Multiscale Modeling & Simulation 2 Acta Numerica 2 International Journal for Computational Methods in Engineering Science and Mechanics 2 Advances in Numerical Analysis 2 Advances in Applied Mathematics and Mechanics 2 Nonlinear Analysis. Theory, Methods & Applications 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Bulletin of the Australian Mathematical Society 1 Fluid Dynamics 1 Ingenieur-Archiv 1 International Journal for Numerical and Analytical Methods in Geomechanics 1 Journal of Engineering Mathematics 1 Journal of the Mechanics and Physics of Solids 1 Lithuanian Mathematical Journal 1 Mathematical Biosciences ...and 72 more Serials all top 5 Cited in 41 Fields 975 Numerical analysis (65-XX) 548 Fluid mechanics (76-XX) 451 Partial differential equations (35-XX) 227 Mechanics of deformable solids (74-XX) 54 Classical thermodynamics, heat transfer (80-XX) 35 Biology and other natural sciences (92-XX) 33 Ordinary differential equations (34-XX) 31 Geophysics (86-XX) 29 Statistical mechanics, structure of matter (82-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 22 Optics, electromagnetic theory (78-XX) 21 Computer science (68-XX) 18 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Dynamical systems and ergodic theory (37-XX) 9 Systems theory; control (93-XX) 7 Geometry (51-XX) 7 Probability theory and stochastic processes (60-XX) 6 Approximations and expansions (41-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Potential theory (31-XX) 5 Functional analysis (46-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 5 Operations research, mathematical programming (90-XX) 4 Real functions (26-XX) 4 Integral equations (45-XX) 3 Convex and discrete geometry (52-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Citations by Year