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## Whiteman, John Robert

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 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
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#### 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.
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#### 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
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#### 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)

#### 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 0838.65109
Apel, Thomas; Sändig, Anna-Margarete; Whiteman, John R.
1996
Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114
Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert
2003
Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximants. Zbl 0706.65107
Wheeler, M. F.; Whiteman, J. R.
1987
Superconvergence results on mildly structured triangulations. Zbl 0969.65097
Lakhany, A. M.; Marek, I.; Whiteman, J. R.
2000
Singularities of the Laplacian at corners and edges of three-dimensional domains and their treatment with finite element methods. Zbl 0671.35018
Stephan, E.; Whiteman, J. R.
1988
Treatment of harmonic mixed boundary problems by conformal transformation methods. Zbl 0253.65066
Whiteman, J. R.; Papamichael, N.
1972
Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045
Rivière, Béatrice; Shaw, Simon; Whiteman, J. R.
2007
Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations. Zbl 0706.65108
Wheeler, M. F.; Whiteman, J. R.
1987
Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids. Zbl 0849.73073
Shaw, S.; Warby, M. K.; Whiteman, J. R.; Dawnson, C.; Wheeler, M. F.
1994
A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems. Zbl 1076.74056
Shaw, Simon; Whiteman, J. R.
2004
A cubic-spline technique for the one dimensional heat conduction equation. Zbl 0264.65056
Papamichael, N.; Whiteman, J. R.
1973
Numerical solution of linear quasistatic hereditary viscoelasticity problems. Zbl 0991.74076
Shaw, Simon; Whiteman, J. R.
2000
Error estimates with sharp constants for a fading memory Volterra problem in linear solid viscoelasticity. Zbl 0879.73023
Shaw, S.; Warby, M. K.; Whiteman, J. R.
1997
Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems. Zbl 0312.65079
Noor, M. A.; Whiteman, J. R.
1976
A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains. Zbl 0273.35031
Papamichael, N.; Whiteman, J. R.
1973
Finite elements. An introduction to the method and error estimation. Zbl 1206.65246
Babuška, Ivo; Whiteman, John R.; Strouboulis, Theofanis
2011
Discontinuous Galerkin method with a posteriori $$L_ p(0,t_ i)$$ error estimate for second-kind Volterra problems. Zbl 0857.65144
Shaw, S.; Whiteman, J. R.
1996
Treatment of singularities in a harmonic mixed boundary value problem by dual series methods. Zbl 0182.50102
Whiteman, J. R.
1968
Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems. Zbl 0990.74071
Shaw, Simon; Whiteman, J. R.
2000
Pointwise superconvergence of recovered gradients for piecewise linear finite element approximations to problems of planar linear elasticity. Zbl 0707.73071
Goodsell, George; Whiteman, J. R.
1990
A unified treatment of superconvergent recovered gradient functions for piecewise linear finite element approximations. Zbl 0725.73083
Goodsell, George; Whiteman, J. R.
1989
General conical singularities in three-dimensional Poisson problems. Zbl 0688.35018
Beagles, A. E.; Whiteman, J. R.
1989
Solution of dual trigonometrical series using orthogonality relations. Zbl 0215.46602
Noble, B.; Whiteman, J. R.
1970
Optimal long-time $$L_p(0,T)$$ stability and semidiscrete error estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem. Zbl 1002.74020
Shaw, Simon; Whiteman, John R.
2001
Numerical methods for treating problems of viscoelastic isotropic solid deformation. Zbl 0853.73026
Janovský, V.; Shaw, S.; Warby, M. K.; Whiteman, J. R.
1995
Numerical modelling of viscoelastic liquids using a finite-volume method. Zbl 0784.76063
Darwish, M. S.; Whiteman, J. R.; Bevis, M. J.
1992
Superconvergence of recovered gradients of piecewise quadratic finite element approximations. I: $$L_ 2$$-error estimates. Zbl 0721.65063
Goodsell, George; Whiteman, J. R.
1991
Singularities and constructive methods for their treatment. Proceedings of the Conference held in Oberwolfach, West Germany, November 20-26, 1983. Zbl 0547.00025
Grisvard, P. (ed.); Wendland, W. (ed.); Whiteman, J. R. (ed.)
1985
A posteriori error estimates and adaptivity for finite element solutions in finite elasticity. Zbl 0824.73071
Mücke, Roland; Whiteman, J. R.
1995
Numerical techniques for problems of quasistatic and dynamic viscoelasticity. Zbl 0828.73068
Shaw, S.; Warby, M. K.; Whiteman, J. R.
1994
Variational inequality formulation in strain space and finite element solution of an elasto-plastic problem with hardening. Zbl 0747.73047
Hlaváček, I.; Rosenberg, J.; Beagles, A. E.; Whiteman, J. R.
1992
Some gradient superconvergence results in the finite element method. Zbl 0674.65076
Whiteman, J. R.; Goodsell, George
1989
Applications and numerical analysis of partial differential Volterra equations: A brief survey. Zbl 0907.65146
Shaw, Simon; Whiteman, J. R.
1997
Variational inequality formulation for flow theory plasticity. Zbl 0899.73573
Kuczma, Mieczysław S.; Whiteman, J. R.
1995
Determination of a stress intensity factor using local mesh refinement. Zbl 0441.73125
Schiff, B.; Fishelov, D.; Whiteman, J. R.
1979
Local mesh refinement with finite elements for elliptic problems. Zbl 0393.65045
Gregory, J. A.; Fishelov, D.; Schiff, B.; Whiteman, J. R.
1978
Poro-viscoelasticity modelling based on upscaling quasistatic fluid-saturated solids. Zbl 1392.74037
Rohan, Eduard; Shaw, Simon; Whiteman, John R.
2014
Models, algorithms and error estimation for computational viscoelasticity. Zbl 1067.74066
Karamanou, Marianna; Shaw, Simon; Warby, M. K.; Whiteman, J. R.
2005
Shape optimization of elasto-plastic structures and continua. Zbl 0972.74055
Rohan, E.; Whiteman, J. R.
2000
Existence and uniqueness of solutions in strain space of elastoplastic problems with isotropic hardening. Zbl 0869.73078
Hlaváček, Ivan; Whiteman, John R.
1997
Superconvergence of recovered gradients of discrete time/piecewise linear Galerkin approximations for linear and nonlinear parabolic problems. Zbl 0801.65087
Wheeler, Mary F.; Whiteman, J. R.
1994
Superconvergence of recovered gradients of piecewise quadratic finite element approximations. II: $$L_{\infty}$$-error estimates. Zbl 0721.65064
Goodsell, George; Whiteman, J. R.
1991
Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: methodology. Zbl 1293.62052
Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John R.; Brewin, Mark P.; Greenwald, Steve E.; Birch, Malcolm J.
2013
Contact problems of hyperelastic membranes: Existence theory. Zbl 0977.74042
Andrä, H.; Warby, M. K.; Whiteman, J. R.
2000
Towards adaptive finite element schemes for partial differential Volterra equation solvers. Zbl 0870.65141
Shaw, Simon; Whiteman, J. R.
1996
Fourier series solution for a rectangular thick plate with free edges on an elastic foundation. Zbl 0496.73074
Henwood, D. J.; Whiteman, J. R.; Yettram, A. L.
1982
Analysis of some finite element methods for a class of problems in elasto-plasticity. Zbl 0496.73069
Oden, J. T.; Whiteman, J. R.
1982
Error analysis of finite element methods with triangles for elliptic boundary value problems. Zbl 0284.65087
Barnhill, R. E.; Whiteman, J. R.
1973
Finite-difference techniques for a harmonic mixed boundary problem having a reentrant boundary. Zbl 0235.65069
Whiteman, J. R.
1971
Numerical solution of a harmonic mixed boundary-value problem by the extension of a dual series method. Zbl 0207.16804
Whiteman, J. R.
1970
High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling. Zbl 1352.65330
Banks, 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.
2014
Computational modelling of thermoforming processes in the case of finite viscoelastic materials. Zbl 1127.74009
Karamanou, M.; Warby, M. K.; Whiteman, J. R.
2006
Finite element modelling of high air pressure forming processes for polymer sheets. Zbl 1038.74634
Jiang, W.-G.; Warby, M. K.; Whiteman, J. R.; Abbott, S.; Shorter, W.; Warwick, P.; Wright, T.; Munro, A.; Munro, B.
2003
Finite element simulation of thermoforming processes for polymer sheets. Zbl 1011.82504
Warby, M. K.; Whiteman, J. R.; Jiang, W.-G.; Warwick, P.; Wright, T.
2003
Negative norm error control for second-kind convolution Volterra equations. Zbl 0955.65094
Shaw, Simon; Whiteman, J. R.
2000
Superconvergent recovery operators: Derivative recovery techniques. Zbl 0902.65057
Lakhany, A. M.; Whiteman, J. R.
1998
Towards robust adaptive finite element methods for partial differential Volterra equation problems arising in viscoelasticity theory. Zbl 0893.73069
Shaw, Simon; Whiteman, J. R.
1997
A finite element model of crack growth in a finite body in the context of mode I linear viscoelastic fracture. Zbl 0764.73090
Warby, M. K.; Walton, J. R.; Whiteman, J. R.
1992
Finite element model of viscoelastic membrane deformation. Zbl 0626.73032
Warby, M. K.; Whiteman, J. R.
1988
Finite element treatment of boundary singularities by augmentation with non-exact singular functions. Zbl 0626.65112
Beagles, A. E.; Whiteman, J. R.
1986
Treatment of a re-entrant vertex in a three-dimensional Poisson problem. Zbl 0564.65063
Beagles, A. E.; Whiteman, J. R.
1985
Finite difference solution of a system of first-order partial differential equations. Zbl 0472.73104
Henwood, D. J.; Whiteman, J. R.; Yettram, A. L.
1981
Error analysis of finite element methods for mildly nonlinear variational inequalities. Zbl 0441.65055
Janovsky, V.; Whiteman, J. R.
1979
Lagrangian finite element and finite difference methods for Poisson problems. Zbl 0313.65091
Whiteman, J. R.
1975
Error analysis of Galerkin methods for Dirichlet problems containing boundary singularities. Zbl 0294.65060
Barnhill, R. E.; Whiteman, J. R.
1975
Galerkin methods for two dimensional elliptic problems containing boundary singularities. Zbl 0352.35041
Whiteman, J. R.
1974
The solution of dual cosine series by the use of orthogonality relations. Zbl 0215.46603
Noble, B.; Whiteman, J. R.
1970
Numerical treatment of biharmonic boundary value problems with re-entrant boundaries. Zbl 0185.42301
Bernal, M. J. M.; Whiteman, J. R.
1970
Model validation for a noninvasive arterial stenosis detection problem. Zbl 1298.62186
Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John; Brewin, Mark P.; Greenwald, Stephen E.; Birch, Malcolm J.
2014
Mixed and Galerkin finite element approximation of flow in a linear viscoelastic porous medium. Zbl 1286.76151
Rohan, Eduard; Shaw, Simon; Wheeler, Mary F.; Whiteman, John R.
2013
Some numerical results in nonlinear and viscoelastic fracture. Zbl 0666.73072
Beagles, A. E.; Walton, J. R.; Warby, M. K.; Whiteman, J. R.
1989
Superconvergent recovery for stresses from finite element approximations on subdomains for planar problems of linear elasticity. Zbl 0683.73043
Whiteman, J. R.; Goodsell, George
1988
Analysis of strain representation in linear elasticity by both singular and nonsingular finite elements. Zbl 0635.73102
Thompson, G. M.; Whiteman, J. R.
1985
Finite elements, singularities and fracture. Zbl 0443.73050
Whiteman, J. R.; Akin, J. E.
1979
Numerical methods for elliptic problems containing boundary singularities. Zbl 0449.65074
Whiteman, J. R.
1978
A bibliography for finite elements. Zbl 0367.65063
Whiteman, J. R. (ed.)
1975
Singularities due to re-entrant boundaries in elliptic problems. Zbl 0288.65058
Barnhill, R. E.; Whiteman, J. R.
1974
The extension and application of Sard kernel theorems to compute finite element error bounds. Zbl 0276.65049
Barnhill, R. E.; Gregory, J. A.; Whiteman, J. R.
1972
Conformal transformation methods for the numerical solution of harmonic mixed boundary value problems. Zbl 0232.65081
Whiteman, J. R.; Papamichael, N.; Martin, Q.
1971
Convergence of finite-difference techniques for a harmonic mixed boundary value problem. Zbl 0223.65074
Whiteman, J. R.; Webb, Jerry C.
1970
inflation of hyperelastic membranes. Zbl 1423.74140
Shaw, S.; Warby, M. K.; Whiteman, J. R.
2010
Adaptive numerical solution of thick plates using first-order shear deformation theory. II: Adaptivity. Zbl 1077.74048
Ludwig, M. J.; Shaw, Simon; Whiteman, J. R.
2003
Superconvergence and an error estimator for the finite element analysis of beams and frames. Zbl 0994.74071
Kirby, J. A.; Warby, M. K.; Whiteman, J. R.
2001
Discrete schemes for treating hereditary problems of viscoelasticity and applications. Zbl 0863.73061
Shaw, S.; Warby, M. K.; Whiteman, J. R.
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 0818.00016
Whiteman, J. R. (ed.)
1994
Finite element methods with recovery for problems of elasticity and viscoelasticity. Zbl 0810.73065
Mücke, R.; Shaw, S.; Warby, M. K.; Whiteman, J. R.
1994
The mathematics of finite elements and applications. VII. Proceedings of the 7th conference, MAFELAP, Brunel University, Uxbridge, UK, April 24–27, 1990. Zbl 0925.65009
Whiteman, John R. (ed.)
1991
Some features of the nodal recovery of gradients from finite element approximations which produces superconvergence. Zbl 0724.65101
Whiteman, J. R.; Goodsell, George
1990
Theoretical and practical aspects of finite elements in the context of some problems of solid mechanics. Zbl 0701.73058
Whiteman, J. R.; Beagles, A. E.; Warby, M. K.
1990
Analysis of two-way snap of shells of revolution. Zbl 0663.73028
Aston, P. J.; Whiteman, J. R.
1988
On some finite element error estimates for stress intensity factors in mode I linear elastic fracture problems. Zbl 0652.73012
Whiteman, J. R.; Goodsell, George
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 0652.00018
Whiteman, J. R. (ed.)
1988
Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment. Zbl 0616.65101
Whiteman, J. R.
1986
Singularities in three-dimensional elliptic problems and their treatment with finite element methods. Zbl 0553.65077
Whiteman, J. R.
1984
Finite elements for singularities in two- and three-dimensions. Zbl 0533.73072
Whiteman, J. R.
1982
Finite element methods for elliptic problems containing boundary singularities. Zbl 0463.65074
Whiteman, J. R.
1981
Numerical treatment of a problem from linear fracture mechanics. Zbl 0423.73081
Whiteman, J. R.
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 0351.65027
Whiteman, J. R. (ed.)
1976
Finite element methods for elliptic mixed boundary value problems containing singularities. Zbl 0327.65078
Whiteman, J. R.; Barnhill, R. E.
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 0274.00013
Whiteman, J. R. (ed.)
1973
Poro-viscoelasticity modelling based on upscaling quasistatic fluid-saturated solids. Zbl 1392.74037
Rohan, Eduard; Shaw, Simon; Whiteman, John R.
2014
High-order space-time finite element schemes for acoustic and viscodynamic wave equations with temporal decoupling. Zbl 1352.65330
Banks, 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.
2014
Model validation for a noninvasive arterial stenosis detection problem. Zbl 1298.62186
Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John; Brewin, Mark P.; Greenwald, Stephen E.; Birch, Malcolm J.
2014
Material parameter estimation and hypothesis testing on a 1D viscoelastic stenosis model: methodology. Zbl 1293.62052
Banks, H. Thomas; Hu, Shuhua; Kenz, Zackary R.; Kruse, Carola; Shaw, Simon; Whiteman, John R.; Brewin, Mark P.; Greenwald, Steve E.; Birch, Malcolm J.
2013
Mixed and Galerkin finite element approximation of flow in a linear viscoelastic porous medium. Zbl 1286.76151
Rohan, Eduard; Shaw, Simon; Wheeler, Mary F.; Whiteman, John R.
2013
Finite elements. An introduction to the method and error estimation. Zbl 1206.65246
Babuška, Ivo; Whiteman, John R.; Strouboulis, Theofanis
2011
inflation of hyperelastic membranes. Zbl 1423.74140
Shaw, S.; Warby, M. K.; Whiteman, J. R.
2010
Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems. Zbl 1127.74045
Rivière, Béatrice; Shaw, Simon; Whiteman, J. R.
2007
Computational modelling of thermoforming processes in the case of finite viscoelastic materials. Zbl 1127.74009
Karamanou, M.; Warby, M. K.; Whiteman, J. R.
2006
Models, algorithms and error estimation for computational viscoelasticity. Zbl 1067.74066
Karamanou, Marianna; Shaw, Simon; Warby, M. K.; Whiteman, J. R.
2005
A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems. Zbl 1076.74056
Shaw, Simon; Whiteman, J. R.
2004
Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity. Zbl 1253.74114
Rivière, Béatrice; Shaw, Simon; Wheeler, Mary F.; Whiteman, John Robert
2003
Finite element modelling of high air pressure forming processes for polymer sheets. Zbl 1038.74634
Jiang, W.-G.; Warby, M. K.; Whiteman, J. R.; Abbott, S.; Shorter, W.; Warwick, P.; Wright, T.; Munro, A.; Munro, B.
2003
Finite element simulation of thermoforming processes for polymer sheets. Zbl 1011.82504
Warby, M. K.; Whiteman, J. R.; Jiang, W.-G.; Warwick, P.; Wright, T.
2003
Adaptive numerical solution of thick plates using first-order shear deformation theory. II: Adaptivity. Zbl 1077.74048
Ludwig, M. J.; Shaw, Simon; Whiteman, J. R.
2003
Optimal long-time $$L_p(0,T)$$ stability and semidiscrete error estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem. Zbl 1002.74020
Shaw, Simon; Whiteman, John R.
2001
Superconvergence and an error estimator for the finite element analysis of beams and frames. Zbl 0994.74071
Kirby, J. A.; Warby, M. K.; Whiteman, J. R.
2001
Superconvergence results on mildly structured triangulations. Zbl 0969.65097
Lakhany, A. M.; Marek, I.; Whiteman, J. R.
2000
Numerical solution of linear quasistatic hereditary viscoelasticity problems. Zbl 0991.74076
Shaw, Simon; Whiteman, J. R.
2000
Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems. Zbl 0990.74071
Shaw, Simon; Whiteman, J. R.
2000
Shape optimization of elasto-plastic structures and continua. Zbl 0972.74055
Rohan, E.; Whiteman, J. R.
2000
Contact problems of hyperelastic membranes: Existence theory. Zbl 0977.74042
Andrä, H.; Warby, M. K.; Whiteman, J. R.
2000
Negative norm error control for second-kind convolution Volterra equations. Zbl 0955.65094
Shaw, Simon; Whiteman, J. R.
2000
Superconvergent recovery operators: Derivative recovery techniques. Zbl 0902.65057
Lakhany, A. M.; Whiteman, J. R.
1998
Error estimates with sharp constants for a fading memory Volterra problem in linear solid viscoelasticity. Zbl 0879.73023
Shaw, S.; Warby, M. K.; Whiteman, J. R.
1997
Applications and numerical analysis of partial differential Volterra equations: A brief survey. Zbl 0907.65146
Shaw, Simon; Whiteman, J. R.
1997
Existence and uniqueness of solutions in strain space of elastoplastic problems with isotropic hardening. Zbl 0869.73078
Hlaváček, Ivan; Whiteman, John R.
1997
Towards robust adaptive finite element methods for partial differential Volterra equation problems arising in viscoelasticity theory. Zbl 0893.73069
Shaw, Simon; Whiteman, J. R.
1997
Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains. Zbl 0838.65109
Apel, Thomas; Sändig, Anna-Margarete; Whiteman, John R.
1996
Discontinuous Galerkin method with a posteriori $$L_ p(0,t_ i)$$ error estimate for second-kind Volterra problems. Zbl 0857.65144
Shaw, S.; Whiteman, J. R.
1996
Towards adaptive finite element schemes for partial differential Volterra equation solvers. Zbl 0870.65141
Shaw, Simon; Whiteman, J. R.
1996
Discrete schemes for treating hereditary problems of viscoelasticity and applications. Zbl 0863.73061
Shaw, S.; Warby, M. K.; Whiteman, J. R.
1996
Numerical methods for treating problems of viscoelastic isotropic solid deformation. Zbl 0853.73026
Janovský, V.; Shaw, S.; Warby, M. K.; Whiteman, J. R.
1995
A posteriori error estimates and adaptivity for finite element solutions in finite elasticity. Zbl 0824.73071
Mücke, Roland; Whiteman, J. R.
1995
Variational inequality formulation for flow theory plasticity. Zbl 0899.73573
Kuczma, Mieczysław S.; Whiteman, J. R.
1995
Numerical techniques for the treatment of quasistatic viscoelastic stress problems in linear isotropic solids. Zbl 0849.73073
Shaw, S.; Warby, M. K.; Whiteman, J. R.; Dawnson, C.; Wheeler, M. F.
1994
Numerical techniques for problems of quasistatic and dynamic viscoelasticity. Zbl 0828.73068
Shaw, S.; Warby, M. K.; Whiteman, J. R.
1994
Superconvergence of recovered gradients of discrete time/piecewise linear Galerkin approximations for linear and nonlinear parabolic problems. Zbl 0801.65087
Wheeler, Mary F.; Whiteman, J. R.
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 0818.00016
Whiteman, J. R. (ed.)
1994
Finite element methods with recovery for problems of elasticity and viscoelasticity. Zbl 0810.73065
Mücke, R.; Shaw, S.; Warby, M. K.; Whiteman, J. R.
1994
Numerical modelling of viscoelastic liquids using a finite-volume method. Zbl 0784.76063
Darwish, M. S.; Whiteman, J. R.; Bevis, M. J.
1992
Variational inequality formulation in strain space and finite element solution of an elasto-plastic problem with hardening. Zbl 0747.73047
Hlaváček, I.; Rosenberg, J.; Beagles, A. E.; Whiteman, J. R.
1992
A finite element model of crack growth in a finite body in the context of mode I linear viscoelastic fracture. Zbl 0764.73090
Warby, M. K.; Walton, J. R.; Whiteman, J. R.
1992
Superconvergence of recovered gradients of piecewise quadratic finite element approximations. I: $$L_ 2$$-error estimates. Zbl 0721.65063
Goodsell, George; Whiteman, J. R.
1991
Superconvergence of recovered gradients of piecewise quadratic finite element approximations. II: $$L_{\infty}$$-error estimates. Zbl 0721.65064
Goodsell, George; Whiteman, J. R.
1991
The mathematics of finite elements and applications. VII. Proceedings of the 7th conference, MAFELAP, Brunel University, Uxbridge, UK, April 24–27, 1990. Zbl 0925.65009
Whiteman, John R. (ed.)
1991
Pointwise superconvergence of recovered gradients for piecewise linear finite element approximations to problems of planar linear elasticity. Zbl 0707.73071
Goodsell, George; Whiteman, J. R.
1990
Some features of the nodal recovery of gradients from finite element approximations which produces superconvergence. Zbl 0724.65101
Whiteman, J. R.; Goodsell, George
1990
Theoretical and practical aspects of finite elements in the context of some problems of solid mechanics. Zbl 0701.73058
Whiteman, J. R.; Beagles, A. E.; Warby, M. K.
1990
A unified treatment of superconvergent recovered gradient functions for piecewise linear finite element approximations. Zbl 0725.73083
Goodsell, George; Whiteman, J. R.
1989
General conical singularities in three-dimensional Poisson problems. Zbl 0688.35018
Beagles, A. E.; Whiteman, J. R.
1989
Some gradient superconvergence results in the finite element method. Zbl 0674.65076
Whiteman, J. R.; Goodsell, George
1989
Some numerical results in nonlinear and viscoelastic fracture. Zbl 0666.73072
Beagles, A. E.; Walton, J. R.; Warby, M. K.; Whiteman, J. R.
1989
Singularities of the Laplacian at corners and edges of three-dimensional domains and their treatment with finite element methods. Zbl 0671.35018
Stephan, E.; Whiteman, J. R.
1988
Finite element model of viscoelastic membrane deformation. Zbl 0626.73032
Warby, M. K.; Whiteman, J. R.
1988
Superconvergent recovery for stresses from finite element approximations on subdomains for planar problems of linear elasticity. Zbl 0683.73043
Whiteman, J. R.; Goodsell, George
1988
Analysis of two-way snap of shells of revolution. Zbl 0663.73028
Aston, P. J.; Whiteman, J. R.
1988
On some finite element error estimates for stress intensity factors in mode I linear elastic fracture problems. Zbl 0652.73012
Whiteman, J. R.; Goodsell, George
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 0652.00018
Whiteman, J. R. (ed.)
1988
Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximants. Zbl 0706.65107
Wheeler, M. F.; Whiteman, J. R.
1987
Superconvergent recovery of gradients on subdomains from piecewise linear finite-element approximations. Zbl 0706.65108
Wheeler, M. F.; Whiteman, J. R.
1987
Finite element treatment of boundary singularities by augmentation with non-exact singular functions. Zbl 0626.65112
Beagles, A. E.; Whiteman, J. R.
1986
Singularities in two- and three-dimensional elliptic problems and finite element methods for their treatment. Zbl 0616.65101
Whiteman, J. R.
1986
Singularities and constructive methods for their treatment. Proceedings of the Conference held in Oberwolfach, West Germany, November 20-26, 1983. Zbl 0547.00025
Grisvard, P. (ed.); Wendland, W. (ed.); Whiteman, J. R. (ed.)
1985
Treatment of a re-entrant vertex in a three-dimensional Poisson problem. Zbl 0564.65063
Beagles, A. E.; Whiteman, J. R.
1985
Analysis of strain representation in linear elasticity by both singular and nonsingular finite elements. Zbl 0635.73102
Thompson, G. M.; Whiteman, J. R.
1985
Singularities in three-dimensional elliptic problems and their treatment with finite element methods. Zbl 0553.65077
Whiteman, J. R.
1984
Fourier series solution for a rectangular thick plate with free edges on an elastic foundation. Zbl 0496.73074
Henwood, D. J.; Whiteman, J. R.; Yettram, A. L.
1982
Analysis of some finite element methods for a class of problems in elasto-plasticity. Zbl 0496.73069
Oden, J. T.; Whiteman, J. R.
1982
Finite elements for singularities in two- and three-dimensions. Zbl 0533.73072
Whiteman, J. R.
1982
Finite difference solution of a system of first-order partial differential equations. Zbl 0472.73104
Henwood, D. J.; Whiteman, J. R.; Yettram, A. L.
1981
Finite element methods for elliptic problems containing boundary singularities. Zbl 0463.65074
Whiteman, J. R.
1981
Determination of a stress intensity factor using local mesh refinement. Zbl 0441.73125
Schiff, B.; Fishelov, D.; Whiteman, J. R.
1979
Error analysis of finite element methods for mildly nonlinear variational inequalities. Zbl 0441.65055
Janovsky, V.; Whiteman, J. R.
1979
Finite elements, singularities and fracture. Zbl 0443.73050
Whiteman, J. R.; Akin, J. E.
1979
Local mesh refinement with finite elements for elliptic problems. Zbl 0393.65045
Gregory, J. A.; Fishelov, D.; Schiff, B.; Whiteman, J. R.
1978
Numerical methods for elliptic problems containing boundary singularities. Zbl 0449.65074
Whiteman, J. R.
1978
Numerical treatment of a problem from linear fracture mechanics. Zbl 0423.73081
Whiteman, J. R.
1978
Error bounds for finite element solutions of mildly nonlinear elliptic boundary value problems. Zbl 0312.65079
Noor, M. A.; Whiteman, J. R.
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 0351.65027
Whiteman, J. R. (ed.)
1976
Lagrangian finite element and finite difference methods for Poisson problems. Zbl 0313.65091
Whiteman, J. R.
1975
Error analysis of Galerkin methods for Dirichlet problems containing boundary singularities. Zbl 0294.65060
Barnhill, R. E.; Whiteman, J. R.
1975
A bibliography for finite elements. Zbl 0367.65063
Whiteman, J. R. (ed.)
1975
Galerkin methods for two dimensional elliptic problems containing boundary singularities. Zbl 0352.35041
Whiteman, J. R.
1974
Singularities due to re-entrant boundaries in elliptic problems. Zbl 0288.65058
Barnhill, R. E.; Whiteman, J. R.
1974
A cubic-spline technique for the one dimensional heat conduction equation. Zbl 0264.65056
Papamichael, N.; Whiteman, J. R.
1973
A numerical conformal transformation method for harmonic mixed boundary value problems in polygonal domains. Zbl 0273.35031
Papamichael, N.; Whiteman, J. R.
1973
Error analysis of finite element methods with triangles for elliptic boundary value problems. Zbl 0284.65087
Barnhill, R. E.; Whiteman, J. R.
1973
Finite element methods for elliptic mixed boundary value problems containing singularities. Zbl 0327.65078
Whiteman, J. R.; Barnhill, R. E.
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 0274.00013
Whiteman, J. R. (ed.)
1973
Treatment of harmonic mixed boundary problems by conformal transformation methods. Zbl 0253.65066
Whiteman, J. R.; Papamichael, N.
1972
The extension and application of Sard kernel theorems to compute finite element error bounds. Zbl 0276.65049
Barnhill, R. E.; Gregory, J. A.; Whiteman, J. R.
1972
Finite-difference techniques for a harmonic mixed boundary problem having a reentrant boundary. Zbl 0235.65069
Whiteman, J. R.
1971
Conformal transformation methods for the numerical solution of harmonic mixed boundary value problems. Zbl 0232.65081
Whiteman, J. R.; Papamichael, N.; Martin, Q.
1971
Solution of dual trigonometrical series using orthogonality relations. Zbl 0215.46602
Noble, B.; Whiteman, J. R.
1970
Numerical solution of a harmonic mixed boundary-value problem by the extension of a dual series method. Zbl 0207.16804
Whiteman, J. R.
1970
The solution of dual cosine series by the use of orthogonality relations. Zbl 0215.46603
Noble, B.; Whiteman, J. R.
1970
Numerical treatment of biharmonic boundary value problems with re-entrant boundaries. Zbl 0185.42301
Bernal, M. J. M.; Whiteman, J. R.
1970
Convergence of finite-difference techniques for a harmonic mixed boundary value problem. Zbl 0223.65074
Whiteman, J. R.; Webb, Jerry C.
1970
Treatment of singularities in a harmonic mixed boundary value problem by dual series methods. Zbl 0182.50102
Whiteman, J. R.
1968
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
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#### 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
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#### 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)