Edit Profile (opens in new tab) Kelly, Donald W. Compute Distance To: Compute Author ID: kelly.donald-w Published as: Kelly, D. W.; Kelly, Donald W. Documents Indexed: 43 Publications since 1975, including 1 Book 1 Further Contribution Co-Authors: 25 Co-Authors with 34 Joint Publications 589 Co-Co-Authors all top 5 Co-Authors 5 single-authored 12 Zienkiewicz, Olgierd Cecil 4 Mills, R. J. 4 Reizes, John A. 4 Sloan, Ian Hugh 3 Ainsworth, Mark 3 Bettess, Peter 3 de S. R. Gago, J. P. 3 Isles, J. D. 3 Mikulik, Zoltan 3 Thomson, Rodney S. 2 Babuška, Ivo 2 Gago, J. 2 Lee, Merrill C. W. 2 Mustoe, G. G. W. 2 Prusty, B. Gangadhara 2 Wang, Song 1 Asudullah, M. 1 Bartholomew, P. 1 Belkin, N. J. 1 Bigdeli, Behzad 1 Bischoff, Dieter Ernst 1 Brand, G. F. 1 Christie, Ian 1 Coffignal, G. 1 Cool, C. 1 de Arantes Oliveira, E. R. 1 Demkowicz, Leszek F. 1 Devloo, Philippe Remy Bernard 1 Elsley, M. 1 Kellermann, David C. 1 Ladevèze, Pierre 1 Löhner, Rainald 1 Mitchell, Andrew Ronald 1 Oden, John Tinsley 1 Pelle, Jean-Pierre 1 Pérez-Carballo, José 1 Plank, Lothar 1 Rank, Ernst 1 Reidsema, Carl A. 1 Rheinboldt, C. 1 Sikora, C. G. S. 1 Stafford, Roger O. 1 Stein, Erwin 1 Strouboulis, Theofanis 1 Tosh, M. W. all top 5 Serials 11 International Journal for Numerical Methods in Engineering 3 Engineering Computations 2 Computer Methods in Applied Mechanics and Engineering 2 IMA Journal of Numerical Analysis 2 International Journal of Fracture 1 Computers & Mathematics with Applications 1 Computers and Structures 1 Information Processing and Management 1 Journal of Computational Physics 1 Communications in Applied Numerical Methods 1 Engineering Computations 1 Advances in Computational Mathematics 1 The ANZIAM Journal 1 International Journal of Structural Stability and Dynamics all top 5 Fields 26 Numerical analysis (65-XX) 22 Mechanics of deformable solids (74-XX) 13 Partial differential equations (35-XX) 5 Fluid mechanics (76-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 611 times in 466 Documents Cited by ▼ Year ▼ The coupling of the finite element method and boundary solution procedures. Zbl 0347.65048Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 124 1977 A posteriori error analysis and adaptive processes in the finite element method. I. Error analysis. Zbl 0534.65068Kelly, D. W.; de S. R. Gago, J. P.; Zienkiewicz, O. C. 101 1983 The hierarchical concept in finite element analysis. Zbl 0498.73072Zienkiewicz, O. C.; Gago, J. P.de S. R.; Kelly, D. W. 63 1983 The self-equilibration of residuals and complementary a posteriori error estimates in the finite element method. Zbl 0575.65100Kelly, D. W. 51 1984 A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems. Zbl 0452.76068Kelly, D. W.; Nakazawa, S.; Zienkiewicz, O. C. 41 1980 A posteriori error analysis and adaptive processes in the finite element method. II. Adaptive mesh refinement. Zbl 0534.65069de S. R. Gago, J. P.; Kelly, D. W.; Zienkiewicz, O. C. 39 1983 Accuracy estimates and adaptive refinements in finite element computations. Lectures presented at the international conference held in Lisbon, June 1984. Zbl 0663.65001 34 1986 Matroids and combinatorial geometries. Zbl 0428.05016Brylawski, T.; Kelly, D. 23 1980 Marriage a la mode - The best of both worlds (finite elements and boundary integrals). Zbl 0418.73065Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 21 1979 Hierarchical finite element approaches, error estimates and adaptive refinement. Zbl 0533.65073Zienkiewicz, O. C.; Kelly, D. W.; Gago, J.; Babuška, Ivo 21 1982 A posteriori estimates of the solution error caused by discretization in the finite element, finite difference and boundary element methods. Zbl 0625.65096Kelly, D. W.; Mills, R. J.; Reizes, J. A.; Miller, A. D. 11 1987 Procedures for residual equilibration and local error estimation in the finite element method. Zbl 0679.73027Kelly, D. W.; Isles, J. D. 10 1989 A posteriori error estimators and adaptivity for finite element approximation of the non-homogeneous Dirichlet problem. Zbl 0999.65116Ainsworth, Mark; Kelly, Donald W. 8 2001 Computable error bounds for pointwise derivatives of a Neumann problem. Zbl 0904.65104Wang, S.; Sloan, I. H.; Kelly, D. W. 6 1998 Local error bounds for post-processed finite element calculations. Zbl 0942.76036Cao, T.; Kelly, D. W.; Sloan, I. H. 6 1999 Bounds on discretization error by special reduced integration of the Lagrange family of finite elements. Zbl 0438.73057Kelly, D. W. 6 1980 Coupling boundary element methods with other numerical methods. Zbl 0451.73082Kelly, D. W.; Mustoe, G. G. W.; Zienkiewicz, O. C. 6 1979 \(C^*\)-convergence in the finite element method. Zbl 0891.73060Bigdeli, B.; Kelly, D. W. 5 1997 A posteriori pointwise upper bound error estimates in the finite element method. Zbl 0772.73085Yang, J. D.; Kelly, D. W.; Isles, J. D. 5 1993 Post-processing with computable error bounds for the finite element approximation of a nonlinear heat conduction problem. Zbl 0890.65109Ainsworth, M.; Kelly, D. W.; Sloan, I. H.; Wang, S. L. 4 1997 A procedure for determining load paths in elastic continua. Zbl 0839.73045Kelly, D. W.; Elsley, M. 4 1995 A posteriori error estimates in finite difference techniques. Zbl 0641.65074Kelly, D. W.; Mills, R. J.; Reizes, J. A.; Miller, A. D. 3 1988 Load paths and load flow in finite element analysis. Zbl 0997.74064Kelly, D. W.; Hsu, P.; Asudullah, M. 2 2001 Interpreting load paths and stress trajectories in elasticity. Zbl 0960.74012Kelly, D. W.; Tosh, M. W. 2 2000 A review of techniques for automated structural design. Zbl 0372.90125Kelly, D. W.; Morris, A. J.; Bartholomew, P.; Stafford, R. O. 2 1977 On a hierarchical order for trial functions in numerical procedures based on satisfaction of the governing equations. Zbl 0387.65071Kelly, D. W.; Mustoe, G. G. W.; Zienkiewicz, O. C. 2 1978 The Sommerfeld (radiation) condition on infinite domains and its modelling in numerical procedures. Zbl 0413.73033Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 2 1979 A dual formulation for generating information about constrained optima in automated design. Zbl 0302.90046Kelly, D. W. 2 1975 Pointwise and local error estimates for the quantities of interest in two-dimensional elasticity. Zbl 1221.74071Cao, T.; Kelly, D. W. 2 2003 Prediction of initiation and growth of single level delaminations in a transversely loaded composite specimen using fracture mechanics. Zbl 1264.74226Mikulik, Zoltan; Kelly, Donald W.; Prusty, B. Gangadhara; Thomson, Rodney S. 1 2008 Pointwise a posteriori upper error bounds for derivatives of a Neumann problem. Zbl 0910.65073Wang, S.; Sloan, I. H.; Kelly, D. W. 1 1996 Some useful techniques for pointwise and local error estimates of the quantities of interest in the finite element approximation. Zbl 0977.65093Cao, T.; Kelly, D. W.; Ainsworth, M. 1 2000 Upper bound a-posteriori error estimates for the finite element method applied to linear elasticity. Zbl 0537.73058Kelly, D. W.; Donovan, J. 1 1984 Strongly orthotropic continuum mechanics and finite element treatment. Zbl 1195.74179Kellermann, D. C.; Furukawa, T.; Kelly, D. W. 1 2008 Prediction of initiation and growth of single level delaminations in a transversely loaded composite specimen using fracture mechanics. Zbl 1264.74226Mikulik, Zoltan; Kelly, Donald W.; Prusty, B. Gangadhara; Thomson, Rodney S. 1 2008 Strongly orthotropic continuum mechanics and finite element treatment. Zbl 1195.74179Kellermann, D. C.; Furukawa, T.; Kelly, D. W. 1 2008 Pointwise and local error estimates for the quantities of interest in two-dimensional elasticity. Zbl 1221.74071Cao, T.; Kelly, D. W. 2 2003 A posteriori error estimators and adaptivity for finite element approximation of the non-homogeneous Dirichlet problem. Zbl 0999.65116Ainsworth, Mark; Kelly, Donald W. 8 2001 Load paths and load flow in finite element analysis. Zbl 0997.74064Kelly, D. W.; Hsu, P.; Asudullah, M. 2 2001 Interpreting load paths and stress trajectories in elasticity. Zbl 0960.74012Kelly, D. W.; Tosh, M. W. 2 2000 Some useful techniques for pointwise and local error estimates of the quantities of interest in the finite element approximation. Zbl 0977.65093Cao, T.; Kelly, D. W.; Ainsworth, M. 1 2000 Local error bounds for post-processed finite element calculations. Zbl 0942.76036Cao, T.; Kelly, D. W.; Sloan, I. H. 6 1999 Computable error bounds for pointwise derivatives of a Neumann problem. Zbl 0904.65104Wang, S.; Sloan, I. H.; Kelly, D. W. 6 1998 \(C^*\)-convergence in the finite element method. Zbl 0891.73060Bigdeli, B.; Kelly, D. W. 5 1997 Post-processing with computable error bounds for the finite element approximation of a nonlinear heat conduction problem. Zbl 0890.65109Ainsworth, M.; Kelly, D. W.; Sloan, I. H.; Wang, S. L. 4 1997 Pointwise a posteriori upper error bounds for derivatives of a Neumann problem. Zbl 0910.65073Wang, S.; Sloan, I. H.; Kelly, D. W. 1 1996 A procedure for determining load paths in elastic continua. Zbl 0839.73045Kelly, D. W.; Elsley, M. 4 1995 A posteriori pointwise upper bound error estimates in the finite element method. Zbl 0772.73085Yang, J. D.; Kelly, D. W.; Isles, J. D. 5 1993 Procedures for residual equilibration and local error estimation in the finite element method. Zbl 0679.73027Kelly, D. W.; Isles, J. D. 10 1989 A posteriori error estimates in finite difference techniques. Zbl 0641.65074Kelly, D. W.; Mills, R. J.; Reizes, J. A.; Miller, A. D. 3 1988 A posteriori estimates of the solution error caused by discretization in the finite element, finite difference and boundary element methods. Zbl 0625.65096Kelly, D. W.; Mills, R. J.; Reizes, J. A.; Miller, A. D. 11 1987 Accuracy estimates and adaptive refinements in finite element computations. Lectures presented at the international conference held in Lisbon, June 1984. Zbl 0663.65001 34 1986 The self-equilibration of residuals and complementary a posteriori error estimates in the finite element method. Zbl 0575.65100Kelly, D. W. 51 1984 Upper bound a-posteriori error estimates for the finite element method applied to linear elasticity. Zbl 0537.73058Kelly, D. W.; Donovan, J. 1 1984 A posteriori error analysis and adaptive processes in the finite element method. I. Error analysis. Zbl 0534.65068Kelly, D. W.; de S. R. Gago, J. P.; Zienkiewicz, O. C. 101 1983 The hierarchical concept in finite element analysis. Zbl 0498.73072Zienkiewicz, O. C.; Gago, J. P.de S. R.; Kelly, D. W. 63 1983 A posteriori error analysis and adaptive processes in the finite element method. II. Adaptive mesh refinement. Zbl 0534.65069de S. R. Gago, J. P.; Kelly, D. W.; Zienkiewicz, O. C. 39 1983 Hierarchical finite element approaches, error estimates and adaptive refinement. Zbl 0533.65073Zienkiewicz, O. C.; Kelly, D. W.; Gago, J.; Babuška, Ivo 21 1982 A note on upwinding and anisotropic balancing dissipation in finite element approximations to convective diffusion problems. Zbl 0452.76068Kelly, D. W.; Nakazawa, S.; Zienkiewicz, O. C. 41 1980 Matroids and combinatorial geometries. Zbl 0428.05016Brylawski, T.; Kelly, D. 23 1980 Bounds on discretization error by special reduced integration of the Lagrange family of finite elements. Zbl 0438.73057Kelly, D. W. 6 1980 Marriage a la mode - The best of both worlds (finite elements and boundary integrals). Zbl 0418.73065Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 21 1979 Coupling boundary element methods with other numerical methods. Zbl 0451.73082Kelly, D. W.; Mustoe, G. G. W.; Zienkiewicz, O. C. 6 1979 The Sommerfeld (radiation) condition on infinite domains and its modelling in numerical procedures. Zbl 0413.73033Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 2 1979 On a hierarchical order for trial functions in numerical procedures based on satisfaction of the governing equations. Zbl 0387.65071Kelly, D. W.; Mustoe, G. G. W.; Zienkiewicz, O. C. 2 1978 The coupling of the finite element method and boundary solution procedures. Zbl 0347.65048Zienkiewicz, O. C.; Kelly, D. W.; Bettess, P. 124 1977 A review of techniques for automated structural design. Zbl 0372.90125Kelly, D. W.; Morris, A. J.; Bartholomew, P.; Stafford, R. O. 2 1977 A dual formulation for generating information about constrained optima in automated design. Zbl 0302.90046Kelly, D. W. 2 1975 all cited Publications top 5 cited Publications all top 5 Cited by 767 Authors 13 Ainsworth, Mark 12 Oden, John Tinsley 10 Kelly, Donald W. 9 Ladevèze, Pierre 8 Elleithy, Wael M. 6 Oñate Ibáñez de Navarra, Eugenio 6 Zienkiewicz, Olgierd Cecil 5 Carey, Graham Francis 5 Coutinho, Alvaro L. G. A. 5 Sayas, Francisco-Javier 5 Zou, Qingsong 4 Demkowicz, Leszek F. 4 Gallimard, Laurent 4 Gravemeier, Volker 4 Hsiao, George C. 4 Idelsohn, Sergio Rodolfo 4 Kikuchi, Noboru 4 Kornhuber, Ralf 4 Laminie, Jacques 4 Li, Zi-Cai 4 Machado, Roberto Dalledone 4 Repin, Sergeĭ Igorevich 4 Schnack, Eckart 4 Wall, Wolfgang A. 3 Abdalla Filho, João Elias 3 Alfonzetti, Salvatore 3 Badia, Santiago 3 Camata, Jose J. 3 Grave, Malú 3 Hugger, Jens 3 Hughes, Thomas J. R. 3 Löhner, Rainald 3 Moitinho de Almeida, José Paulo 3 Nikolaev, Evgenii S. 3 Paulino, Glaucio H. 3 Pelle, Jean-Pierre 3 Praetorius, Dirk 3 Provatidis, Christopher G. 3 Salerno, Nunzio 3 Soares, Delfim jun. 3 Stein, Erwin 3 Sun, Shuyu 3 von Estorff, Otto 3 Wendland, Wolfgang L. 3 Wheeler, Mary Fanett 3 Wiberg, Nils-Erik 3 Wick, Thomas 3 Wohlmuth, Barbara I. 3 Zolotareva, N. D. 2 Abascal, Ramón 2 Ahn, Jae S. 2 Aiello, Giovanni 2 Almeida Pereira, O. J. B. 2 Arndt, Marcos 2 Aurada, Markus 2 Bangerth, Wolfgang 2 Ben Belgacem, Faker 2 Borzì, Giuseppe 2 Buliga, Marius G. 2 Calgaro, Caterina 2 Casenave, Fabien 2 Cheng, Jiahao 2 Chinesta, Francisco 2 Codina, Ramon 2 Coorevits, Patrice 2 Coulier, Pieter 2 Cyron, Christian J. 2 de Borst, René 2 de Saxcé, Géry 2 Degrande, Geert 2 Doweidar, Mohamed Hamdy 2 Ern, Alexandre 2 Ethier, C. Ross 2 Feischl, Michael 2 Fish, Jacob 2 François, Stijn 2 Führer, Thomas 2 Garcia-Espinosa, Julio 2 Gerasimov, Tymofiy 2 Ghosh, Somnath 2 Gmati, Nabil 2 Gräser, Carsten 2 Grätsch, Thomas 2 Gray, Leonard J. 2 Gunzburger, Max D. 2 Hartmann, Friedel 2 Hauke, Guillermo 2 Häussler-Combe, Ulrich 2 He, Yinnian 2 Heinrich, Juan C. 2 Jelassi, Faten 2 Johnson, Claes G. L. 2 Kaazempur-Mofrad, M. R. 2 Karkulik, Michael 2 Kerfriden, Pierre 2 Kirk, Benjamin S. 2 Ladopoulos, E. G. 2 Leonel, Edson Denner 2 Li, Zhenquan 2 Li, Zicai ...and 667 more Authors all top 5 Cited in 73 Serials 138 Computer Methods in Applied Mechanics and Engineering 44 International Journal for Numerical Methods in Engineering 28 Engineering Analysis with Boundary Elements 19 Computational Mechanics 17 Journal of Computational Physics 15 Applied Numerical Mathematics 15 Engineering Computations 11 Journal of Computational and Applied Mathematics 10 Computers & Mathematics with Applications 10 Numerische Mathematik 10 Communications in Numerical Methods in Engineering 8 Computers and Fluids 8 International Journal for Numerical Methods in Fluids 8 Applied Mathematics and Computation 7 Mathematics of Computation 6 Applied Mathematical Modelling 5 Applied Mathematics and Mechanics. (English Edition) 5 COMPEL 5 Mathematical and Computer Modelling 5 Journal of Scientific Computing 5 SIAM Journal on Scientific Computing 5 Mathematical Problems in Engineering 5 European Journal of Mechanics. A. Solids 4 Archives of Computational Methods in Engineering 3 Acta Mechanica 3 Calcolo 3 SIAM Journal on Numerical Analysis 3 Sādhanā 3 International Journal for Computational Methods in Engineering Science and Mechanics 2 Mathematical Methods in the Applied Sciences 2 Computing 2 Mathematics and Computers in Simulation 2 Numerical Functional Analysis and Optimization 2 Moscow University Computational Mathematics and Cybernetics 2 Acta Applicandae Mathematicae 2 Computational Mathematics and Mathematical Physics 2 Journal of Mathematical Chemistry 2 Mathematics and Mechanics of Solids 2 Computational Methods in Applied Mathematics 2 International Journal of Fracture 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 International Journal for Numerical Methods in Biomedical Engineering 1 Ingenieur-Archiv 1 International Journal of Solids and Structures 1 Journal of Applied Mathematics and Mechanics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Transport Theory and Statistical Physics 1 BIT 1 Journal of Approximation Theory 1 Meccanica 1 Acta Mathematicae Applicatae Sinica. English Series 1 Communications in Applied Numerical Methods 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Sciences (New York) 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Advances in Computational Mathematics 1 Bernoulli 1 Computational Geosciences 1 Analysis and Applications (Singapore) 1 International Journal of Computational Methods 1 Acta Numerica 1 Journal of Computational Acoustics 1 Science in China. Series G 1 Acta Mechanica Sinica 1 Algorithms 1 Advances in Mathematical Physics 1 Advances in Applied Mathematics and Mechanics 1 Arabian Journal for Science and Engineering all top 5 Cited in 28 Fields 265 Numerical analysis (65-XX) 226 Mechanics of deformable solids (74-XX) 119 Fluid mechanics (76-XX) 86 Partial differential equations (35-XX) 25 Optics, electromagnetic theory (78-XX) 20 Calculus of variations and optimal control; optimization (49-XX) 19 Classical thermodynamics, heat transfer (80-XX) 11 Biology and other natural sciences (92-XX) 6 Ordinary differential equations (34-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Computer science (68-XX) 4 Geophysics (86-XX) 3 Potential theory (31-XX) 3 Integral equations (45-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year