Edit Profile Whiteman, John Robert Compute Distance To: Compute Author ID: whiteman.john-robert Published as: Whiteman, J.; Whiteman, J. R.; Whiteman, John; Whiteman, John R.; Whiteman, John Robert Homepage: https://www.brunel.ac.uk/people/john-whiteman External Links: dblp Documents Indexed: 127 Publications since 1968, including 14 Books all top 5 Co-Authors 28 single-authored 19 Shaw, Simon C. 18 Warby, Mike K. 8 Goodsell, George 6 Barnhill, Robert E. 6 Beagles, A. E. 6 Shaw, Stephen W. 6 Wheeler, Mary Fanett 4 Harrison, David jun. 4 Papamichael, Nicolas 4 Rohan, Eduard 4 Yettram, A. L. 3 Banks, Harvey Thomas 3 Birch, Malcolm J. 3 Brewin, Mark P. 3 Henwood, D. J. 3 Hu, Shuhua 3 Kenz, Zackary R. 3 Kruse, Carola 3 Schiff, Bernard 3 Thompson, Gary M. 2 Aston, Philip J. 2 Fishelov, Dalia 2 Greenwald, Stephen E. 2 Gregory, John A. 2 Hlaváček, Ivan 2 Janovský, Vladimír 2 Karamanou, Marianna 2 Lakhany, A. M. 2 Ludwig, M. J. 2 Mücke, Roland 2 Noble, Ben 2 Rivière, Beatrice M. 2 Shaw, Santosh Kumar 2 Shaw, Simon A. 2 Walton, Jay R. 2 Warwick, P. 2 Wright, Terrence Michael jun. 1 Abbott, Stephen D. 1 Akin, J. Ed 1 Andrä, Heiko 1 Apel, Thomas 1 Babuška, Ivo 1 Bernal, Michael J. M. 1 Bevis, M. J. 1 Darwish, M. S. 1 Dawnson, C. 1 Demkowicz, Leszek F. 1 Díez, Francisco Javier 1 Gavete, Luis 1 Greenwald, Steve E. 1 Grisvard, Pierre 1 Jiang, Weigong 1 Jiang, Wu-Gui 1 Johnson, Arthur R. 1 Kirby, J. A. 1 Kuczma, Mieczysław S. 1 Maischak, Matthias 1 Marek, Iwona 1 Martín, Quintín 1 Michavila, Francisco F. 1 Munro, Alistair 1 Munro, Bruce C. 1 Noor, Muhammad Aslam 1 Oden, John Tinsley 1 Rosenberg, Joseph 1 Sändig, Anna-Margarete 1 Shorter, W. 1 Stephan, Ernst Peter 1 Strouboulis, Theofanis 1 Ward, T. J. W. 1 Webb, Jerry C. 1 Wendland, Wolfgang L. all top 5 Serials 13 Computer Methods in Applied Mechanics and Engineering 13 Numerical Methods for Partial Differential Equations 5 International Journal for Numerical Methods in Engineering 5 Numerische Mathematik 4 Mathematical Methods in the Applied Sciences 3 International Journal of Engineering Science 3 Journal of Computational and Applied Mathematics 2 Journal of the Institute of Mathematics and its Applications 2 Quarterly Journal of Mechanics and Applied Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 SIAM Journal on Numerical Analysis 2 Computational Geosciences 1 Acta Universitatis Carolinae. Mathematica et Physica 1 Computers and Structures 1 IMA Journal of Numerical Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of Computational Physics 1 The Computer Journal. Section A / Section B 1 Mathematics and Computers in Simulation 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Computational Mechanics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Non-Newtonian Fluid Mechanics 1 Nova Acta Leopoldina. Neue Folge 1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 SIAM Journal on Applied Mathematics 1 Journal of Inverse and Ill-Posed Problems 1 Mathematical Engineering in Industry 1 Advances in Computational Mathematics 1 Mathematical Biosciences and Engineering 1 BIT. Nordisk Tidskrift for Informationsbehandling 1 Lecture Notes in Mathematics 1 International Journal of Numerical Analysis and Modeling. Series B all top 5 Fields 82 Numerical analysis (65-XX) 78 Mechanics of deformable solids (74-XX) 34 Partial differential equations (35-XX) 14 General and overarching topics; collections (00-XX) 13 Fluid mechanics (76-XX) 7 Integral equations (45-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 3 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Statistics (62-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Functions of a complex variable (30-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 100 Publications have been cited 625 times in 429 Documents Cited by ▼ Year ▼ Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains. Zbl 0838.65109Apel, Thomas; Sändig, Anna-Margarete; Whiteman, John R. 76 1996 Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert 32 2003 Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximants. Zbl 0706.65107Wheeler, M. F.; Whiteman, J. R. 27 1987 Superconvergence results on mildly structured triangulations. Zbl 0969.65097Lakhany, A. M.; Marek, I.; Whiteman, J. R. 18 2000 Singularities of the Laplacian at corners and edges of three-dimensional domains and their treatment with finite element methods. Zbl 0671.35018Stephan, E.; Whiteman, J. R. 17 1988 Treatment of harmonic mixed boundary problems by conformal transformation methods. Zbl 0253.65066Whiteman, J. R.; Papamichael, N. 17 1972 Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045Rivière, Béatrice; Shaw, Simon; Whiteman, J. R. 16 2007 Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations. Zbl 0706.65108Wheeler, M. F.; Whiteman, J. R. 14 1987 Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids. Zbl 0849.73073Shaw, S.; Warby, M. K.; Whiteman, J. R.; Dawnson, C.; Wheeler, M. F. 13 1994 A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems. Zbl 1076.74056Shaw, Simon; Whiteman, J. R. 12 2004 A cubic-spline technique for the one dimensional heat conduction equation. Zbl 0264.65056Papamichael, N.; Whiteman, J. R. 12 1973 Numerical solution of linear quasistatic hereditary viscoelasticity problems. Zbl 0991.74076Shaw, Simon; Whiteman, J. R. 11 2000 Error estimates with sharp constants for a fading memory Volterra problem in linear solid viscoelasticity. Zbl 0879.73023Shaw, S.; Warby, M. K.; Whiteman, J. R. 11 1997 Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems. Zbl 0312.65079Noor, M. A.; Whiteman, J. R. 11 1976 A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains. Zbl 0273.35031Papamichael, N.; Whiteman, J. R. 11 1973 Finite elements. An introduction to the method and error estimation. Zbl 1206.65246Babuška, Ivo; Whiteman, John R.; Strouboulis, Theofanis 10 2011 Discontinuous Galerkin method with a posteriori \(L_ p(0,t_ i)\) error estimate for second-kind Volterra problems. Zbl 0857.65144Shaw, S.; Whiteman, J. R. 10 1996 Treatment of singularities in a harmonic mixed boundary value problem by dual series methods. Zbl 0182.50102Whiteman, J. R. 10 1968 Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems. Zbl 0990.74071Shaw, Simon; Whiteman, J. R. 9 2000 Pointwise superconvergence of recovered gradients for piecewise linear finite element approximations to problems of planar linear elasticity. Zbl 0707.73071Goodsell, George; Whiteman, J. R. 9 1990 A unified treatment of superconvergent recovered gradient functions for piecewise linear finite element approximations. Zbl 0725.73083Goodsell, George; Whiteman, J. R. 9 1989 General conical singularities in three-dimensional Poisson problems. Zbl 0688.35018Beagles, A. E.; Whiteman, J. R. 9 1989 Solution of dual trigonometrical series using orthogonality relations. Zbl 0215.46602Noble, B.; Whiteman, J. R. 9 1970 Optimal long-time \(L_p(0,T)\) stability and semidiscrete error estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem. Zbl 1002.74020Shaw, Simon; Whiteman, John R. 8 2001 Numerical methods for treating problems of viscoelastic isotropic solid deformation. Zbl 0853.73026Janovský, V.; Shaw, S.; Warby, M. K.; Whiteman, J. R. 8 1995 Numerical modelling of viscoelastic liquids using a finite-volume method. Zbl 0784.76063Darwish, M. S.; Whiteman, J. R.; Bevis, M. J. 8 1992 Superconvergence of recovered gradients of piecewise quadratic finite element approximations. I: \(L_ 2\)-error estimates. Zbl 0721.65063Goodsell, George; Whiteman, J. R. 8 1991 Singularities and constructive methods for their treatment. Proceedings of the Conference held in Oberwolfach, West Germany, November 20-26, 1983. Zbl 0547.00025Grisvard, P. (ed.); Wendland, W. (ed.); Whiteman, J. R. (ed.) 8 1985 A posteriori error estimates and adaptivity for finite element solutions in finite elasticity. Zbl 0824.73071Mücke, Roland; Whiteman, J. R. 7 1995 Numerical techniques for problems of quasistatic and dynamic viscoelasticity. Zbl 0828.73068Shaw, S.; Warby, M. K.; Whiteman, J. R. 7 1994 Variational inequality formulation in strain space and finite element solution of an elasto-plastic problem with hardening. Zbl 0747.73047Hlaváček, I.; Rosenberg, J.; Beagles, A. E.; Whiteman, J. R. 7 1992 Some gradient superconvergence results in the finite element method. Zbl 0674.65076Whiteman, J. R.; Goodsell, George 7 1989 Applications and numerical analysis of partial differential Volterra equations: A brief survey. Zbl 0907.65146Shaw, Simon; Whiteman, J. R. 6 1997 Variational inequality formulation for flow theory plasticity. Zbl 0899.73573Kuczma, Mieczysław S.; Whiteman, J. R. 6 1995 Determination of a stress intensity factor using local mesh refinement. Zbl 0441.73125Schiff, B.; Fishelov, D.; Whiteman, J. R. 6 1979 Local mesh refinement with finite elements for elliptic problems. Zbl 0393.65045Gregory, J. A.; Fishelov, D.; Schiff, B.; Whiteman, J. R. 6 1978 Poro-viscoelasticity modelling based on upscaling quasistatic fluid-saturated solids. Zbl 1392.74037Rohan, Eduard; Shaw, Simon; Whiteman, John R. 5 2014 Models, algorithms and error estimation for computational viscoelasticity. Zbl 1067.74066Karamanou, Marianna; Shaw, Simon; Warby, M. K.; Whiteman, J. R. 5 2005 Shape optimization of elasto-plastic structures and continua. Zbl 0972.74055Rohan, E.; Whiteman, J. R. 5 2000 Existence and uniqueness of solutions in strain space of elastoplastic problems with isotropic hardening. Zbl 0869.73078Hlaváček, Ivan; Whiteman, John R. 5 1997 Superconvergence of recovered gradients of discrete time/piecewise linear Galerkin approximations for linear and nonlinear parabolic problems. Zbl 0801.65087Wheeler, Mary F.; Whiteman, J. R. 5 1994 Superconvergence of recovered gradients of piecewise quadratic finite element approximations. II: \(L_{\infty}\)-error estimates. Zbl 0721.65064Goodsell, George; Whiteman, J. R. 5 1991 Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: methodology. Zbl 1293.62052Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John R.; Brewin, Mark P.; Greenwald, Steve E.; Birch, Malcolm J. 4 2013 Contact problems of hyperelastic membranes: Existence theory. Zbl 0977.74042Andrä, H.; Warby, M. K.; Whiteman, J. R. 4 2000 Towards adaptive finite element schemes for partial differential Volterra equation solvers. Zbl 0870.65141Shaw, Simon; Whiteman, J. R. 4 1996 Fourier series solution for a rectangular thick plate with free edges on an elastic foundation. Zbl 0496.73074Henwood, D. J.; Whiteman, J. R.; Yettram, A. L. 4 1982 Analysis of some finite element methods for a class of problems in elasto-plasticity. Zbl 0496.73069Oden, J. T.; Whiteman, J. R. 4 1982 Error analysis of finite element methods with triangles for elliptic boundary value problems. Zbl 0284.65087Barnhill, R. E.; Whiteman, J. R. 4 1973 Finite-difference techniques for a harmonic mixed boundary problem having a reentrant boundary. Zbl 0235.65069Whiteman, J. R. 4 1971 Numerical solution of a harmonic mixed boundary-value problem by the extension of a dual series method. Zbl 0207.16804Whiteman, J. R. 4 1970 High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling. Zbl 1352.65330Banks, H. T.; Birch, Malcolm J.; Brewin, Mark P.; Greenwald, Stephen E.; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Maischak, Matthias; Shaw, Simon; Whiteman, John R. 3 2014 Computational modelling of thermoforming processes in the case of finite viscoelastic materials. Zbl 1127.74009Karamanou, M.; Warby, M. K.; Whiteman, J. R. 3 2006 Finite element modelling of high air pressure forming processes for polymer sheets. Zbl 1038.74634Jiang, W.-G.; Warby, M. K.; Whiteman, J. R.; Abbott, S.; Shorter, W.; Warwick, P.; Wright, T.; Munro, A.; Munro, B. 3 2003 Finite element simulation of thermoforming processes for polymer sheets. Zbl 1011.82504Warby, M. K.; Whiteman, J. R.; Jiang, W.-G.; Warwick, P.; Wright, T. 3 2003 Negative norm error control for second-kind convolution Volterra equations. Zbl 0955.65094Shaw, Simon; Whiteman, J. R. 3 2000 Superconvergent recovery operators: Derivative recovery techniques. Zbl 0902.65057Lakhany, A. M.; Whiteman, J. R. 3 1998 Towards robust adaptive finite element methods for partial differential Volterra equation problems arising in viscoelasticity theory. Zbl 0893.73069Shaw, Simon; Whiteman, J. R. 3 1997 A finite element model of crack growth in a finite body in the context of mode I linear viscoelastic fracture. Zbl 0764.73090Warby, M. K.; Walton, J. R.; Whiteman, J. R. 3 1992 Finite element model of viscoelastic membrane deformation. Zbl 0626.73032Warby, M. K.; Whiteman, J. R. 3 1988 Finite element treatment of boundary singularities by augmentation with non-exact singular functions. Zbl 0626.65112Beagles, A. E.; Whiteman, J. R. 3 1986 Treatment of a re-entrant vertex in a three-dimensional Poisson problem. Zbl 0564.65063Beagles, A. E.; Whiteman, J. R. 3 1985 Finite difference solution of a system of first-order partial differential equations. Zbl 0472.73104Henwood, D. J.; Whiteman, J. R.; Yettram, A. L. 3 1981 Error analysis of finite element methods for mildly nonlinear variational inequalities. Zbl 0441.65055Janovsky, V.; Whiteman, J. R. 3 1979 Lagrangian finite element and finite difference methods for Poisson problems. Zbl 0313.65091Whiteman, J. R. 3 1975 Error analysis of Galerkin methods for Dirichlet problems containing boundary singularities. Zbl 0294.65060Barnhill, R. E.; Whiteman, J. R. 3 1975 Galerkin methods for two dimensional elliptic problems containing boundary singularities. Zbl 0352.35041Whiteman, J. R. 3 1974 The solution of dual cosine series by the use of orthogonality relations. Zbl 0215.46603Noble, B.; Whiteman, J. R. 3 1970 Numerical treatment of biharmonic boundary value problems with re-entrant boundaries. Zbl 0185.42301Bernal, M. J. M.; Whiteman, J. R. 3 1970 Model validation for a noninvasive arterial stenosis detection problem. Zbl 1298.62186Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John; Brewin, Mark P.; Greenwald, Stephen E.; Birch, Malcolm J. 2 2014 Mixed and Galerkin finite element approximation of flow in a linear viscoelastic porous medium. Zbl 1286.76151Rohan, Eduard; Shaw, Simon; Wheeler, Mary F.; Whiteman, John R. 2 2013 Some numerical results in nonlinear and viscoelastic fracture. Zbl 0666.73072Beagles, A. E.; Walton, J. R.; Warby, M. K.; Whiteman, J. R. 2 1989 Superconvergent recovery for stresses from finite element approximations on subdomains for planar problems of linear elasticity. Zbl 0683.73043Whiteman, J. R.; Goodsell, George 2 1988 Analysis of strain representation in linear elasticity by both singular and nonsingular finite elements. Zbl 0635.73102Thompson, G. M.; Whiteman, J. R. 2 1985 Finite elements, singularities and fracture. Zbl 0443.73050Whiteman, J. R.; Akin, J. E. 2 1979 Numerical methods for elliptic problems containing boundary singularities. Zbl 0449.65074Whiteman, J. R. 2 1978 A bibliography for finite elements. Zbl 0367.65063Whiteman, J. R. (ed.) 2 1975 Singularities due to re-entrant boundaries in elliptic problems. Zbl 0288.65058Barnhill, R. E.; Whiteman, J. R. 2 1974 The extension and application of Sard kernel theorems to compute finite element error bounds. Zbl 0276.65049Barnhill, R. E.; Gregory, J. A.; Whiteman, J. R. 2 1972 Conformal transformation methods for the numerical solution of harmonic mixed boundary value problems. Zbl 0232.65081Whiteman, J. R.; Papamichael, N.; Martin, Q. 2 1971 Convergence of finite-difference techniques for a harmonic mixed boundary value problem. Zbl 0223.65074Whiteman, J. R.; Webb, Jerry C. 2 1970 inflation of hyperelastic membranes. Zbl 1423.74140Shaw, S.; Warby, M. K.; Whiteman, J. R. 1 2010 Adaptive numerical solution of thick plates using first-order shear deformation theory. II: Adaptivity. Zbl 1077.74048Ludwig, M. J.; Shaw, Simon; Whiteman, J. R. 1 2003 Superconvergence and an error estimator for the finite element analysis of beams and frames. Zbl 0994.74071Kirby, J. A.; Warby, M. K.; Whiteman, J. R. 1 2001 Discrete schemes for treating hereditary problems of viscoelasticity and applications. Zbl 0863.73061Shaw, S.; Warby, M. K.; Whiteman, J. R. 1 1996 The mathematics of finite elements and applications. Highlights 1993. Proceedings of the 8th conference on the mathematics of finite elements and applications, MAFELAP ’93, held at Brunel University, Uxbridge, UK, April 27-30, 1993. Zbl 0818.00016Whiteman, J. R. (ed.) 1 1994 Finite element methods with recovery for problems of elasticity and viscoelasticity. Zbl 0810.73065Mücke, R.; Shaw, S.; Warby, M. K.; Whiteman, J. R. 1 1994 The mathematics of finite elements and applications. VII. Proceedings of the 7th conference, MAFELAP, Brunel University, Uxbridge, UK, April 24–27, 1990. Zbl 0925.65009Whiteman, John R. (ed.) 1 1991 Some features of the nodal recovery of gradients from finite element approximations which produces superconvergence. Zbl 0724.65101Whiteman, J. R.; Goodsell, George 1 1990 Theoretical and practical aspects of finite elements in the context of some problems of solid mechanics. Zbl 0701.73058Whiteman, J. R.; Beagles, A. E.; Warby, M. K. 1 1990 Analysis of two-way snap of shells of revolution. Zbl 0663.73028Aston, P. J.; Whiteman, J. R. 1 1988 On some finite element error estimates for stress intensity factors in mode I linear elastic fracture problems. Zbl 0652.73012Whiteman, J. R.; Goodsell, George 1 1988 The mathematics of finite elements and applications VI. MAFELAP 1987. (Based on the proceedings held at Brunel University, Uxbridge, UK, 28 April - 1 May 1987). Zbl 0652.00018Whiteman, J. R. (ed.) 1 1988 Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment. Zbl 0616.65101Whiteman, J. R. 1 1986 Singularities in three-dimensional elliptic problems and their treatment with finite element methods. Zbl 0553.65077Whiteman, J. R. 1 1984 Finite elements for singularities in two- and three-dimensions. Zbl 0533.73072Whiteman, J. R. 1 1982 Finite element methods for elliptic problems containing boundary singularities. Zbl 0463.65074Whiteman, J. R. 1 1981 Numerical treatment of a problem from linear fracture mechanics. Zbl 0423.73081Whiteman, J. R. 1 1978 The mathematics of finite elements and applications II. Mafelap 1975. Proceedings of the Brunel University conference of the Institute of Mathematics and Its Applications held in April 1975. Zbl 0351.65027Whiteman, J. R. (ed.) 1 1976 Finite element methods for elliptic mixed boundary value problems containing singularities. Zbl 0327.65078Whiteman, J. R.; Barnhill, R. E. 1 1973 The mathematics of finite elements and applications. Proceedings of the Brunel University conference of the Institute of Mathematics and Its Applications held in April 1972. Zbl 0274.00013Whiteman, J. R. (ed.) 1 1973 Poro-viscoelasticity modelling based on upscaling quasistatic fluid-saturated solids. Zbl 1392.74037Rohan, Eduard; Shaw, Simon; Whiteman, John R. 5 2014 High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling. Zbl 1352.65330Banks, H. T.; Birch, Malcolm J.; Brewin, Mark P.; Greenwald, Stephen E.; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Maischak, Matthias; Shaw, Simon; Whiteman, John R. 3 2014 Model validation for a noninvasive arterial stenosis detection problem. Zbl 1298.62186Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John; Brewin, Mark P.; Greenwald, Stephen E.; Birch, Malcolm J. 2 2014 Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: methodology. Zbl 1293.62052Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John R.; Brewin, Mark P.; Greenwald, Steve E.; Birch, Malcolm J. 4 2013 Mixed and Galerkin finite element approximation of flow in a linear viscoelastic porous medium. Zbl 1286.76151Rohan, Eduard; Shaw, Simon; Wheeler, Mary F.; Whiteman, John R. 2 2013 Finite elements. An introduction to the method and error estimation. Zbl 1206.65246Babuška, Ivo; Whiteman, John R.; Strouboulis, Theofanis 10 2011 inflation of hyperelastic membranes. Zbl 1423.74140Shaw, S.; Warby, M. K.; Whiteman, J. R. 1 2010 Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045Rivière, Béatrice; Shaw, Simon; Whiteman, J. R. 16 2007 Computational modelling of thermoforming processes in the case of finite viscoelastic materials. Zbl 1127.74009Karamanou, M.; Warby, M. K.; Whiteman, J. R. 3 2006 Models, algorithms and error estimation for computational viscoelasticity. Zbl 1067.74066Karamanou, Marianna; Shaw, Simon; Warby, M. K.; Whiteman, J. R. 5 2005 A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems. Zbl 1076.74056Shaw, Simon; Whiteman, J. R. 12 2004 Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert 32 2003 Finite element modelling of high air pressure forming processes for polymer sheets. Zbl 1038.74634Jiang, W.-G.; Warby, M. K.; Whiteman, J. R.; Abbott, S.; Shorter, W.; Warwick, P.; Wright, T.; Munro, A.; Munro, B. 3 2003 Finite element simulation of thermoforming processes for polymer sheets. Zbl 1011.82504Warby, M. K.; Whiteman, J. R.; Jiang, W.-G.; Warwick, P.; Wright, T. 3 2003 Adaptive numerical solution of thick plates using first-order shear deformation theory. II: Adaptivity. Zbl 1077.74048Ludwig, M. J.; Shaw, Simon; Whiteman, J. R. 1 2003 Optimal long-time \(L_p(0,T)\) stability and semidiscrete error estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem. Zbl 1002.74020Shaw, Simon; Whiteman, John R. 8 2001 Superconvergence and an error estimator for the finite element analysis of beams and frames. Zbl 0994.74071Kirby, J. A.; Warby, M. K.; Whiteman, J. R. 1 2001 Superconvergence results on mildly structured triangulations. Zbl 0969.65097Lakhany, A. M.; Marek, I.; Whiteman, J. R. 18 2000 Numerical solution of linear quasistatic hereditary viscoelasticity problems. Zbl 0991.74076Shaw, Simon; Whiteman, J. R. 11 2000 Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems. Zbl 0990.74071Shaw, Simon; Whiteman, J. R. 9 2000 Shape optimization of elasto-plastic structures and continua. Zbl 0972.74055Rohan, E.; Whiteman, J. R. 5 2000 Contact problems of hyperelastic membranes: Existence theory. Zbl 0977.74042Andrä, H.; Warby, M. K.; Whiteman, J. R. 4 2000 Negative norm error control for second-kind convolution Volterra equations. Zbl 0955.65094Shaw, Simon; Whiteman, J. R. 3 2000 Superconvergent recovery operators: Derivative recovery techniques. Zbl 0902.65057Lakhany, A. M.; Whiteman, J. R. 3 1998 Error estimates with sharp constants for a fading memory Volterra problem in linear solid viscoelasticity. Zbl 0879.73023Shaw, S.; Warby, M. K.; Whiteman, J. R. 11 1997 Applications and numerical analysis of partial differential Volterra equations: A brief survey. Zbl 0907.65146Shaw, Simon; Whiteman, J. R. 6 1997 Existence and uniqueness of solutions in strain space of elastoplastic problems with isotropic hardening. Zbl 0869.73078Hlaváček, Ivan; Whiteman, John R. 5 1997 Towards robust adaptive finite element methods for partial differential Volterra equation problems arising in viscoelasticity theory. Zbl 0893.73069Shaw, Simon; Whiteman, J. R. 3 1997 Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains. Zbl 0838.65109Apel, Thomas; Sändig, Anna-Margarete; Whiteman, John R. 76 1996 Discontinuous Galerkin method with a posteriori \(L_ p(0,t_ i)\) error estimate for second-kind Volterra problems. Zbl 0857.65144Shaw, S.; Whiteman, J. R. 10 1996 Towards adaptive finite element schemes for partial differential Volterra equation solvers. Zbl 0870.65141Shaw, Simon; Whiteman, J. R. 4 1996 Discrete schemes for treating hereditary problems of viscoelasticity and applications. Zbl 0863.73061Shaw, S.; Warby, M. K.; Whiteman, J. R. 1 1996 Numerical methods for treating problems of viscoelastic isotropic solid deformation. Zbl 0853.73026Janovský, V.; Shaw, S.; Warby, M. K.; Whiteman, J. R. 8 1995 A posteriori error estimates and adaptivity for finite element solutions in finite elasticity. Zbl 0824.73071Mücke, Roland; Whiteman, J. R. 7 1995 Variational inequality formulation for flow theory plasticity. Zbl 0899.73573Kuczma, Mieczysław S.; Whiteman, J. R. 6 1995 Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids. Zbl 0849.73073Shaw, S.; Warby, M. K.; Whiteman, J. R.; Dawnson, C.; Wheeler, M. F. 13 1994 Numerical techniques for problems of quasistatic and dynamic viscoelasticity. Zbl 0828.73068Shaw, S.; Warby, M. K.; Whiteman, J. R. 7 1994 Superconvergence of recovered gradients of discrete time/piecewise linear Galerkin approximations for linear and nonlinear parabolic problems. Zbl 0801.65087Wheeler, Mary F.; Whiteman, J. R. 5 1994 The mathematics of finite elements and applications. Highlights 1993. Proceedings of the 8th conference on the mathematics of finite elements and applications, MAFELAP ’93, held at Brunel University, Uxbridge, UK, April 27-30, 1993. Zbl 0818.00016Whiteman, J. R. (ed.) 1 1994 Finite element methods with recovery for problems of elasticity and viscoelasticity. Zbl 0810.73065Mücke, R.; Shaw, S.; Warby, M. K.; Whiteman, J. R. 1 1994 Numerical modelling of viscoelastic liquids using a finite-volume method. Zbl 0784.76063Darwish, M. S.; Whiteman, J. R.; Bevis, M. J. 8 1992 Variational inequality formulation in strain space and finite element solution of an elasto-plastic problem with hardening. Zbl 0747.73047Hlaváček, I.; Rosenberg, J.; Beagles, A. E.; Whiteman, J. R. 7 1992 A finite element model of crack growth in a finite body in the context of mode I linear viscoelastic fracture. Zbl 0764.73090Warby, M. K.; Walton, J. R.; Whiteman, J. R. 3 1992 Superconvergence of recovered gradients of piecewise quadratic finite element approximations. I: \(L_ 2\)-error estimates. Zbl 0721.65063Goodsell, George; Whiteman, J. R. 8 1991 Superconvergence of recovered gradients of piecewise quadratic finite element approximations. II: \(L_{\infty}\)-error estimates. Zbl 0721.65064Goodsell, George; Whiteman, J. R. 5 1991 The mathematics of finite elements and applications. VII. Proceedings of the 7th conference, MAFELAP, Brunel University, Uxbridge, UK, April 24–27, 1990. Zbl 0925.65009Whiteman, John R. (ed.) 1 1991 Pointwise superconvergence of recovered gradients for piecewise linear finite element approximations to problems of planar linear elasticity. Zbl 0707.73071Goodsell, George; Whiteman, J. R. 9 1990 Some features of the nodal recovery of gradients from finite element approximations which produces superconvergence. Zbl 0724.65101Whiteman, J. R.; Goodsell, George 1 1990 Theoretical and practical aspects of finite elements in the context of some problems of solid mechanics. Zbl 0701.73058Whiteman, J. R.; Beagles, A. E.; Warby, M. K. 1 1990 A unified treatment of superconvergent recovered gradient functions for piecewise linear finite element approximations. Zbl 0725.73083Goodsell, George; Whiteman, J. R. 9 1989 General conical singularities in three-dimensional Poisson problems. Zbl 0688.35018Beagles, A. E.; Whiteman, J. R. 9 1989 Some gradient superconvergence results in the finite element method. Zbl 0674.65076Whiteman, J. R.; Goodsell, George 7 1989 Some numerical results in nonlinear and viscoelastic fracture. Zbl 0666.73072Beagles, A. E.; Walton, J. R.; Warby, M. K.; Whiteman, J. R. 2 1989 Singularities of the Laplacian at corners and edges of three-dimensional domains and their treatment with finite element methods. Zbl 0671.35018Stephan, E.; Whiteman, J. R. 17 1988 Finite element model of viscoelastic membrane deformation. Zbl 0626.73032Warby, M. K.; Whiteman, J. R. 3 1988 Superconvergent recovery for stresses from finite element approximations on subdomains for planar problems of linear elasticity. Zbl 0683.73043Whiteman, J. R.; Goodsell, George 2 1988 Analysis of two-way snap of shells of revolution. Zbl 0663.73028Aston, P. J.; Whiteman, J. R. 1 1988 On some finite element error estimates for stress intensity factors in mode I linear elastic fracture problems. Zbl 0652.73012Whiteman, J. R.; Goodsell, George 1 1988 The mathematics of finite elements and applications VI. MAFELAP 1987. (Based on the proceedings held at Brunel University, Uxbridge, UK, 28 April - 1 May 1987). Zbl 0652.00018Whiteman, J. R. (ed.) 1 1988 Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximants. Zbl 0706.65107Wheeler, M. F.; Whiteman, J. R. 27 1987 Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations. Zbl 0706.65108Wheeler, M. F.; Whiteman, J. R. 14 1987 Finite element treatment of boundary singularities by augmentation with non-exact singular functions. Zbl 0626.65112Beagles, A. E.; Whiteman, J. R. 3 1986 Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment. Zbl 0616.65101Whiteman, J. R. 1 1986 Singularities and constructive methods for their treatment. Proceedings of the Conference held in Oberwolfach, West Germany, November 20-26, 1983. Zbl 0547.00025Grisvard, P. (ed.); Wendland, W. (ed.); Whiteman, J. R. (ed.) 8 1985 Treatment of a re-entrant vertex in a three-dimensional Poisson problem. Zbl 0564.65063Beagles, A. E.; Whiteman, J. R. 3 1985 Analysis of strain representation in linear elasticity by both singular and nonsingular finite elements. Zbl 0635.73102Thompson, G. M.; Whiteman, J. R. 2 1985 Singularities in three-dimensional elliptic problems and their treatment with finite element methods. Zbl 0553.65077Whiteman, J. R. 1 1984 Fourier series solution for a rectangular thick plate with free edges on an elastic foundation. Zbl 0496.73074Henwood, D. J.; Whiteman, J. R.; Yettram, A. L. 4 1982 Analysis of some finite element methods for a class of problems in elasto-plasticity. Zbl 0496.73069Oden, J. T.; Whiteman, J. R. 4 1982 Finite elements for singularities in two- and three-dimensions. Zbl 0533.73072Whiteman, J. R. 1 1982 Finite difference solution of a system of first-order partial differential equations. Zbl 0472.73104Henwood, D. J.; Whiteman, J. R.; Yettram, A. L. 3 1981 Finite element methods for elliptic problems containing boundary singularities. Zbl 0463.65074Whiteman, J. R. 1 1981 Determination of a stress intensity factor using local mesh refinement. Zbl 0441.73125Schiff, B.; Fishelov, D.; Whiteman, J. R. 6 1979 Error analysis of finite element methods for mildly nonlinear variational inequalities. Zbl 0441.65055Janovsky, V.; Whiteman, J. R. 3 1979 Finite elements, singularities and fracture. Zbl 0443.73050Whiteman, J. R.; Akin, J. E. 2 1979 Local mesh refinement with finite elements for elliptic problems. Zbl 0393.65045Gregory, J. A.; Fishelov, D.; Schiff, B.; Whiteman, J. R. 6 1978 Numerical methods for elliptic problems containing boundary singularities. Zbl 0449.65074Whiteman, J. R. 2 1978 Numerical treatment of a problem from linear fracture mechanics. Zbl 0423.73081Whiteman, J. R. 1 1978 Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems. Zbl 0312.65079Noor, M. A.; Whiteman, J. R. 11 1976 The mathematics of finite elements and applications II. Mafelap 1975. Proceedings of the Brunel University conference of the Institute of Mathematics and Its Applications held in April 1975. Zbl 0351.65027Whiteman, J. R. (ed.) 1 1976 Lagrangian finite element and finite difference methods for Poisson problems. Zbl 0313.65091Whiteman, J. R. 3 1975 Error analysis of Galerkin methods for Dirichlet problems containing boundary singularities. Zbl 0294.65060Barnhill, R. E.; Whiteman, J. R. 3 1975 A bibliography for finite elements. Zbl 0367.65063Whiteman, J. R. (ed.) 2 1975 Galerkin methods for two dimensional elliptic problems containing boundary singularities. Zbl 0352.35041Whiteman, J. R. 3 1974 Singularities due to re-entrant boundaries in elliptic problems. Zbl 0288.65058Barnhill, R. E.; Whiteman, J. R. 2 1974 A cubic-spline technique for the one dimensional heat conduction equation. Zbl 0264.65056Papamichael, N.; Whiteman, J. R. 12 1973 A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains. Zbl 0273.35031Papamichael, N.; Whiteman, J. R. 11 1973 Error analysis of finite element methods with triangles for elliptic boundary value problems. Zbl 0284.65087Barnhill, R. E.; Whiteman, J. R. 4 1973 Finite element methods for elliptic mixed boundary value problems containing singularities. Zbl 0327.65078Whiteman, J. R.; Barnhill, R. E. 1 1973 The mathematics of finite elements and applications. Proceedings of the Brunel University conference of the Institute of Mathematics and Its Applications held in April 1972. Zbl 0274.00013Whiteman, J. R. (ed.) 1 1973 Treatment of harmonic mixed boundary problems by conformal transformation methods. Zbl 0253.65066Whiteman, J. R.; Papamichael, N. 17 1972 The extension and application of Sard kernel theorems to compute finite element error bounds. Zbl 0276.65049Barnhill, R. E.; Gregory, J. A.; Whiteman, J. R. 2 1972 Finite-difference techniques for a harmonic mixed boundary problem having a reentrant boundary. Zbl 0235.65069Whiteman, J. R. 4 1971 Conformal transformation methods for the numerical solution of harmonic mixed boundary value problems. Zbl 0232.65081Whiteman, J. R.; Papamichael, N.; Martin, Q. 2 1971 Solution of dual trigonometrical series using orthogonality relations. Zbl 0215.46602Noble, B.; Whiteman, J. R. 9 1970 Numerical solution of a harmonic mixed boundary-value problem by the extension of a dual series method. Zbl 0207.16804Whiteman, J. R. 4 1970 The solution of dual cosine series by the use of orthogonality relations. Zbl 0215.46603Noble, B.; Whiteman, J. R. 3 1970 Numerical treatment of biharmonic boundary value problems with re-entrant boundaries. Zbl 0185.42301Bernal, M. J. M.; Whiteman, J. R. 3 1970 Convergence of finite-difference techniques for a harmonic mixed boundary value problem. Zbl 0223.65074Whiteman, J. R.; Webb, Jerry C. 2 1970 Treatment of singularities in a harmonic mixed boundary value problem by dual series methods. Zbl 0182.50102Whiteman, J. R. 10 1968 all cited Publications top 5 cited Publications all top 5 Cited by 665 Authors 30 Whiteman, John Robert 17 Li, Zi-Cai 11 Shaw, Simon C. 9 Apel, Thomas 9 Brenner, Susanne Cecelia 9 Li, Hengguang 8 Huang, Yunqing 8 Nicaise, Serge 8 Rohan, Eduard 8 Zhang, Zhimin 7 Huang, Hung-Tsai 7 Mohanty, Ranjan Kumar 7 Warby, Mike K. 6 Babuška, Ivo 6 Mazzieri, Ilario 6 Nkemzi, Boniface 6 Sung, Li-Yeng 6 Wheeler, Mary Fanett 5 Antonietti, Paola Francesca 5 Banks, Harvey Thomas 5 Ferreira, José Augusto 5 Kelman, Robert B. 5 Noor, Muhammad Aslam 5 Pfefferer, Johannes 5 Zhou, Aihui 4 Guo, Hailong 4 Li, Zicai 4 Liu, Ruijie 4 Nistor, Victor 4 Papamichael, Nicolas 4 Quarteroni, Alfio M. 4 Rodríguez, Rodolfo 4 Rukavishnikov, Viktor Anatol’evich 4 Saedpanah, Fardin 4 Wick, Thomas 4 Yan, Ningning 4 Yi, Nianyu 3 Chen, Yanping 3 Cui, Jintao 3 Dawson, Clint N. 3 Evans, David John 3 Georgiou, Georgios C. 3 Gopal, Venu 3 Hlaváček, Ivan 3 Ingham, Derek Binns 3 Janovský, Vladimír 3 Křížek, Michal 3 Langer, Ulrich 3 Larsson, Stig 3 Li, Jichun 3 Lin, Tao 3 Lubuma, Jean Mbaro-Saman 3 Mackerle, Jaroslav 3 Paquet, Luc 3 Reddy, B. Dayanand 3 Rösch, Arnd 3 Stephan, Ernst Peter 3 Strouboulis, Theofanis 3 Toulopoulos, Ioannis 3 Upadhyay, Chandra Shekhar 3 Wohlmuth, Barbara I. 3 Xenophontos, Christos A. 3 Zhang, Xu 3 Zhao, Ren 2 Adolfsson, Klas 2 Allegretto, Walter 2 Alphonse, Amal 2 Araújo Fernandes, M. T. C. 2 Barbeiro, Sílvia 2 Barnhill, Robert E. 2 Birch, Malcolm J. 2 Bock, Igor 2 Branco, J. R. 2 Brewin, Mark P. 2 Cao, Weiming 2 Carey, Graham Francis 2 Carraro, Thomas 2 Chung, Tsz Shun Eric 2 Conte, Dajana 2 da Silva, Pascoal M. 2 Daly, Keith R. 2 Dauge, Monique 2 de Oliveira, Paula 2 Dean, R. H. 2 Du, Yu 2 Durán, Ricardo G. 2 Dutra do Carmo, Eduardo Gomes 2 Elliotis, Miltiades C. 2 Elliott, Lionel 2 Endtmayer, Bernhard 2 Enelund, Mikael 2 Fang, Qing 2 Farhloul, Mohamed 2 Feistauer, Miloslav 2 Gangaraj, S. K. 2 Gout, Jean-Louis 2 Greenwald, Stephen E. 2 Gregory, John A. 2 Gudi, Thirupathi 2 Hintermüller, Michael ...and 565 more Authors all top 5 Cited in 108 Serials 67 Computer Methods in Applied Mechanics and Engineering 35 Journal of Computational and Applied Mathematics 20 Numerische Mathematik 17 Computers & Mathematics with Applications 15 Numerical Methods for Partial Differential Equations 15 Journal of Scientific Computing 14 Applied Mathematics and Computation 14 Applied Numerical Mathematics 13 Mathematics of Computation 12 Engineering Analysis with Boundary Elements 11 Journal of Computational Physics 9 Applied Mathematical Modelling 7 Mathematical Methods in the Applied Sciences 7 Applications of Mathematics 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 6 Numerical Functional Analysis and Optimization 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 International Journal for Numerical Methods in Engineering 5 SIAM Journal on Numerical Analysis 4 Journal of Mathematical Analysis and Applications 4 Integral Equations and Operator Theory 4 Mathematics and Computers in Simulation 4 International Journal of Computer Mathematics 4 SIAM Journal on Scientific Computing 4 Engineering Computations 3 International Journal of Engineering Science 3 Calcolo 3 Computing 3 Journal of Approximation Theory 3 Computational Mechanics 3 Journal of Non-Newtonian Fluid Mechanics 3 Computational Optimization and Applications 3 Communications in Numerical Methods in Engineering 3 Advances in Computational Mathematics 2 Acta Mechanica 2 Journal of the Franklin Institute 2 Mathematical Biosciences 2 BIT 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Control and Optimization 2 Systems & Control Letters 2 Mathematical and Computer Modelling 2 Journal of Mathematical Sciences (New York) 2 Numerical Linear Algebra with Applications 2 Doklady Mathematics 2 European Journal of Mechanics. A. Solids 2 Computational Geosciences 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Advances in Numerical Analysis 2 Science China. Mathematics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Bulletin of the Australian Mathematical Society 1 Computers and Fluids 1 International Journal for Numerical Methods in Fluids 1 International Journal of Solids and Structures 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Aplikace Matematiky 1 Applied Mathematics and Optimization 1 Glasgow Mathematical Journal 1 Journal of Differential Equations 1 Mathematische Nachrichten 1 Meccanica 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Applied Mathematics and Mechanics. (English Edition) 1 Physica D 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Applied Mathematics Letters 1 Journal of Integral Equations and Applications 1 Science in China. Series A 1 Computational Mathematics and Modeling 1 Continuum Mechanics and Thermodynamics 1 Potential Analysis 1 Calculus of Variations and Partial Differential Equations 1 Journal of Inverse and Ill-Posed Problems 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Mathematical Problems in Engineering 1 Journal of Vibration and Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Journal of Shanghai University 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 European Journal of Mechanics. B. Fluids 1 LMS Journal of Computation and Mathematics 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 The ANZIAM Journal 1 Differential Equations 1 Computational Methods in Applied Mathematics 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Advances in Difference Equations 1 Mathematical Biosciences and Engineering 1 BIT. Nordisk Tidskrift for Informationsbehandling ...and 8 more Serials all top 5 Cited in 29 Fields 308 Numerical analysis (65-XX) 181 Partial differential equations (35-XX) 136 Mechanics of deformable solids (74-XX) 38 Fluid mechanics (76-XX) 34 Calculus of variations and optimal control; optimization (49-XX) 27 Integral equations (45-XX) 15 Optics, electromagnetic theory (78-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Biology and other natural sciences (92-XX) 7 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 7 Approximations and expansions (41-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 5 Functional analysis (46-XX) 5 Geophysics (86-XX) 5 Systems theory; control (93-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Integral transforms, operational calculus (44-XX) 2 Computer science (68-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year