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This page is continually under development and is therefore incomplete. You may view titles and authors of recent technical reports, 1991-Now, and where these reports are not protected by copyright agreements we have included a facility for downloading selected PostScript versions.

Below, BICOM technical reports are referenced by a simple code. For example, BICOM 91/2 refers to Report 2 of 1991.


2004 technical reports and publications: [top] [2003]

BICOM 04/1: Marianna Karamanou, Simon Shaw, M. K. Warby and J. R. Whiteman.
Models, algorithms and error estimates for computational viscoelasticity (Proc. MAFELAP 2003).
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BICOM 04/2: Beatrice Riviere, Simon Shaw and J. R. Whiteman.
Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems.
NOTE: this is an extended version of 04/5.
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BICOM 04/3: Beatrice Riviere and Simon Shaw.
Discontinuous Galerkin finite element approximation of nonlinear non-Fickian diffusion in viscoelastic polymers.
In preparation
BICOM 04/4: Alexei Bespalov and Norbert Heuer.
The p version of the boundary element method for a three-dimensional crack problem.
Click for the PDF file.
BICOM 04/5: Beatrice Riviere, Simon Shaw and J. R. Whiteman.
Discontinuous Galerkin finite element methods for dynamic linear solid viscoelasticity problems.
NOTE: this is a shorter version of 04/2: submitted to Numerische Mathematik.
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2003 technical reports and publications: [top] [2004] [2002]

BICOM 03/1: Simon Shaw and J. R. Whiteman.
Lp(0,T) error control using the derivative of the residual for a finite element approximation of a second-kind Volterra equation.
(First draft.)
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BICOM 03/2: Simon Shaw and J. R. Whiteman.
A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems
(Extended version.)
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BICOM 03/3: Simon Shaw and J. R. Whiteman.
A posteriori error estimates for space-time finite element approximation of quasistatic hereditary linear viscoelasticity problems
(Condensed version. in CMAME 193, 5551-5572)
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2002 technical reports and publications: [top] [2003] [2001]

This section is awaiting an update.

2001 technical reports and publications: [top] [2002] [2000]

BICOM 01/1: Beatrice Riviere, Simon Shaw Mary F. Wheeler and J. R. Whiteman.
Discontinuous Galerkin finite element methods for linear elasticity and quasistatic linear viscoelasticity.
(Submitted to Numer. Math. Part. Diff. Eqns.)
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Ph.D. Thesis: Settapat Chinviriyasit
Numerical methods for treating quasistatic linear viscoelastic problems.
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Ph.D. Thesis: James A. Kirby
Superconvergence and error estimation of finite element solutions to fire-damaged frame problems.
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2000 technical reports and publications: [top] [2001] [1999]

BICOM 00/1: A. M. Lakhany, I. Marek and J. R. Whiteman.
Superconvergence results on mildly structured triangulations.
(To appear in Comput. Meth. Applied Mech. Engrg.)
BICOM 00/2: E. Rohan and J. R. Whiteman.
Shape optimisation of elastoplastic structures and continua.
(To appear in Comput. Meth. Applied Mech. Engrg.)
BICOM 00/3: H. Andra, M. K. Warby and J. R. Whiteman.
Contact problems of hyperelastic membranes: existence theory.
(To appear in Math. Meth. in the Applied Sciences.)
BICOM 00/4: A. M. Lakhany and J. R. Whiteman.
Superconvergent recovery based error estimates.
(Mathematics and Computers in Simulation 50 (1999), pp. 97 - 114.)
BICOM 00/5: Simon Shaw and J. R. Whiteman.
Adaptive space-time finite element solution for Volterra equations arising in viscoelasticity problems.
(To appear in J. Comput. Appl. Math.)
BICOM 00/6: M. J. Ludwig, Simon Shaw and J. R. Whiteman.
Adaptive numerical solution of thick plates using first-order shear deformation theory. Part I: Error estimates.
(To appear in Numer. Math. Part. Diff. Eqns.)
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BICOM 00/7: M. J. Ludwig, Simon Shaw and J. R. Whiteman.
Adaptive numerical solution of thick plates using first-order shear deformation theory. Part II: Adaptivity.
(To appear in Numer. Math. Part. Diff. Eqns.)
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1999 technical reports and publications: [top] [2000] [1998]

Ph.D. Thesis: Marcus J. Ludwig.
Finite element error estimation and adaptivity for problems of elasticity.
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BICOM 99/1: Simon Shaw & J. R. Whiteman.
Robust adaptive finite element schemes for viscoelastic solid deformation: an investigative study. (Final report for the ERO Seed Project: N68171-97-M-5763)
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BICOM 99/2: Simon Shaw & J. R. Whiteman.
Numerical solution of linear quasistatic hereditary viscoelasticity problems. SIAM J. Numer. Anal. 38, 80 - 97.
See also 98/2 and 98/3.

1998 technical reports and publications: [top] [1999] [1997]

Ph.D. Thesis: Douglas J. Stewart.
Finite Element Schemes for Elliptic Boundary Value Problems with Rough Coefficients
BICOM 98/1: Simon Shaw & J. R. Whiteman.
Computational modelling of problems with memory, with emphasis on viscoelastic solid deformation.
(Proc. SACAM98, South Africa, January 1998. Pages 1165 - 1175, Editors: B.D. Reddy, G.P. Mitchell and R.B. Tait) Click here to view the ("gzipped") PostScript file.
BICOM 98/2: Simon Shaw & J. R. Whiteman.
Numerical solution of linear quasistatic hereditary viscoelasticity problems
I: a priori estimates.
(Edited from Technical Report 97/7; summarized version in 99/2) Click here to view the ("gzipped") PostScript file. Updated Jan 8, 1999.
BICOM 98/3: Simon Shaw & J. R. Whiteman.
Numerical solution of linear quasistatic hereditary viscoelasticity problems
II: a posteriori estimates.
(Edited from Technical Report 97/7; summarized version in 99/2) Click here to view the ("gzipped") PostScript file. Updated Jan 8, 1999.
BICOM 98/4: Simon Shaw & J. R. Whiteman.
Numerical solution of linear quasistatic hereditary viscoelasticity problems
III: a posteriori estimates in a weak norm. OBSOLETE: see 03/02.
BICOM 98/5: L. S. D. Morley.
Unique decomposition of element stiffness numeric matrices for three noded plate bending triangles.
BICOM 98/6: Simon Shaw & J. R. Whiteman.
Negative norm error control for second-kind convolution Volterra equations. Numer. Math. 85, 329 - 341.
BICOM 98/7: Simon Shaw & J. R. Whiteman.
Optimal long-time L_p(0,T) data stability and semidiscrete error estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem. Click here to view the ("gzipped") PostScript file.
REVISED: 27 May 2000 in Numer. Math. 88, 743 - 770.
BICOM 98/8: H Andra, M. K. Warby& J. R. Whiteman.
Contact problems of hyperelastic membranes: existence theory.

1997 technical reports and publications: [top] [1998] [1996]

BICOM 97/1: Simon Shaw & J. R. Whiteman.
Applications and numerical analysis of partial differential Volterra equations: a brief survey.
(Comput. Methods Appl. Mech. Engrg., 150 (1997), pp. 397 - 409)
BICOM 97/2: Simon Shaw, M. K. Warby & J. R. Whiteman.
A comparison of hereditary integral and internal variable approaches to numerical linear solid viscoelasticity.
(Proc. XIII Polish Conf. on Computer Meths. in Mechs. Poznan, 5-8 May 1997)
Source: LaTeX2e file, poznan.tex, with BiBTeX database research.bib, or PostScript file: poznan.ps.gz.
BICOM 97/3: A. M. Lakhany & J. R. Whiteman.
A unified approach to the gradient recovery techniques.
BICOM 97/4: A. M. Lakhany & J. R. Whiteman.
Superconvergent gradient recovery for the parabolic initial boundary value problem.
BICOM 97/5: Simon Shaw, M. K. Warby & J. R. Whiteman.
Summaries of two lectures on the computational modelling of viscoelastic solid deformation.
This comes in two parts: part 1 and part 2. These are "gzipped" PostScript files.
BICOM 97/6: Simon Shaw & J. R. Whiteman.
Optimal long-time L_p(0,t) data stability estimates for the Volterra formulation of the linear quasistatic viscoelasticity problem.
OBSOLETE - please refer to 98/7 for the updated version.
BICOM 97/7: Simon Shaw & J. R. Whiteman.
Space-time finite element method with a posteriori Galerkin energy-error estimate for linear quasistatic viscoelasticity problems.
OBSOLETE - please refer to 98/2, 98/3 and 99/2 for the updated versions.
BICOM 97/8: Simon Shaw & J. R. Whiteman.
An introduction to the theory and numerical analysis of viscoelasticity problems.
(IMAMM Lecture Notes)
BICOM 97/9: Simon Shaw & J. R. Whiteman.
Some partial differential Volterra equation problems arising in viscoelasticity.
(Proc. Equadiff, August 1997) Click here to view the ("gzipped") PostScript file.

1996 technical reports and publications: [top] [1995][1997]

BICOM 96/1: Simon Shaw & J. R. Whiteman.
Toward adaptive finite element schemes for partial differential Volterra equation solvers.
(Advances in Computational Mathematics, 6 (Nos. 3,4), (1996), pp. 309---323.)
BICOM 96/2: Simon Shaw & J. R. Whiteman.
Toward robust adaptive finite element methods for partial differential Volterra equation problems arising in viscoelasticity theory.
(Edited for contribution to proceedings of MAFELAP 1996.)
BICOM 96/3: Simon Shaw & J. R. Whiteman.
Toward robust adaptive finite element methods for partial differential Volterra equation problems arising in viscoelasticity theory.
(Slides of the MAFELAP 1996 presentation.)
Click here to view the ("gzipped") PostScript file.

1995 technical reports and publications: [top] [1994] [1996]

BICOM 95/1: S. Shaw, M. K. Warby & J. R. Whiteman.
Error estimates with sharp constants for a fading memory Volterra problem in linear solid viscoelasticity. Click here to view the ("gzipped") PostScript file.
(Revised version: SIAM J. Numer. Anal. 34 (1997), pp. 1237 - 1254.)
BICOM 95/2: M. Brifcani, M. K. Warby & J. R. Whiteman.
A computational model of plug assisted implementation of the thermoforming process in the case of axisymmetric geometries.
BICOM 95/3: S. Shaw & J. R. Whiteman.
Discontinuous Galerkin method with a posteriori L_p(0,t) error estimate for second-kind Volterra problems.
(Numer. Math., 74 (1996), pp. 361---383.)
BICOM 95/4: A. M. Lakhany, M. Suri & J. R. Whiteman.
Finite element recovery techniques and adaptive error control: superconvergent recovery operators.
BICOM 95/5: S. Shaw, M. K. Warby & J. R. Whiteman.
An implicit history discretization of a hereditary wave equation.
(To appear in Seminario de Analisis Numerico, 1996.)
BICOM 95/6: S. Shaw & J. R. Whiteman.
On the adaptive numerical analysis of Volterra integro-partial-differential equation problems.
BICOM 95/7: S. Shaw & J. R. Whiteman.
Bacward Euler and Crank-Nicolson finite element variants with rational adaptivity and a posteriori error estimates for a Volterra integrodifferential equation. (Revised draft submitted to Math. Comp.)
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Ph.D. Thesis: T. R. Bangemann.
Nonlinear finite element treatment of bifurcation in post-buckling analysis of thin elastic plates and shells. (Supervisor: Prof. L. S. D. Morley.)
Ph.D. Thesis: A. Lakhany.
Finite element recovery techniques and adaptive error control. (Supervisor: Prof. J. R. Whiteman.)

1994 technical reports and publications: [top] [1993] [1995]

BICOM 94/1: L. S. D. Morley.
Notes relating to: the geometrically nonlinear constant bending moment triangle.
BICOM 94/2: V. Janovsky, S. Shaw, M. K. Warby & J. R. Whiteman.
Numerical methods for treating problems of Viscoelastic isotropic solid deformation.
(J. Comput. Appl. Math., 63 (1995), pp. 91-107.)
BICOM 94/3: S. Shaw, M. K. Warby & J. R. Whiteman.
An error bound via the Ritz-Volterra projection for a fully discrete approximation to a hyperbolic integrodifferential equation.
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BICOM 94/4: S. Shaw, M. K. Warby & J. R. Whiteman.
Mathematical modelling of the BIB transport container heat transfer problem.

1993 technical reports and publications: [top] [1992] [1994]

BICOM 93/1: Peter Monk.
Superconvergence of finite element approximations to Maxwell's equations.
BICOM 93/2: S. Shaw, M. K. Warby, J. R. Whiteman, C. Dawson & M. F. Wheeler.
Numerical techniques for the treatment of quasistatic solid viscoelastic stress problems.
(Comput. Methods Appl. Mech. Engrg., 118 (1994), pp. 211 - 237)
BICOM 93/3: J. Aalto, J. Louhivirta & J. R. Whiteman.
On gradient smoothing in grids with singularity element patches.
BICOM 93/4: S. Shaw, M. K. Warby & J. R. Whiteman.
Numerical techniques for problems of quasistatic and dynamic viscoelasticity.
BICOM 93/5: B. Noble & J. J. Wu.
Steady state solutions to a forced nonlinear oscillator: a comparison of results using a generalized harmonic balance method and by numerical integration.
BICOM 93/6: M. S. Kuczma & J. R. Whiteman.
Variational inequality formulation for flow theory plasticity.
BICOM 93/7: BICOM.
BICOM lectures on computational mechanics.
BICOM 93/8: R. Mucke & J. R. Whiteman.
On the a posteriori error estimate of finite element solutions for finite elasticity.
BICOM 93/9: T. Apel, R. Mucke & J. R. Whiteman.
An adaptive finite element technique with a priori mesh grading.
Click here to view the compressed PostScript file (stored at Chemnitz).
BICOM 93/10: R. Mucke, S. Shaw, M. K. Warby & J. R. Whiteman.
Finite element methods with recovery for problems of elasticity and viscoelasticity.
BICOM 93/11: M. K. Warby & J. R. Whiteman.
Computational modelling of the thermoforming process for multilayer polymerics.
BICOM 93/12: T. Apel, A-M. Sandig & J. R. Whiteman.
Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains.
Click here to view the compressed PostScript file (stored at Chemnitz).
Ph.D. Thesis: S. Shaw.
Finite element and discrete time methods for continuum problems with memory and applications to viscoelasticity.
(Supervisor: Prof. J. R. Whiteman.)
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1992 technical reports and publications: [top] [1991] [1993]

BICOM 92/1: M. F. Wheeler & J. R. Whiteman.
Superconvergence of recovered gradients of discrete time/piecewise linear Galerkin approximations for linear and nonlinear parabolic problems. Rice University, Houston, March 1992, TR92-07.
BICOM 92/2: C. M. M. Carey.
The constrained generalized Rayleigh quotient.
BICOM 92/3: J. R. Whiteman, S. Shaw & M. K. Warby.
Finite element methods with recovery for problems of viscoelasticity.
BICOM 92/4: G. Goodsell.
Pointwise superconvergence of the gradient for the linear tetrahedral element.
BICOM 92/5: T. R. Bangemann.
Inextensional bending of a shell triangular element in quadratic parametric representation and finite element analysis.
BICOM 92/6: T. R. Bangemann.
Matrix interpretation of the general theory of the stability of equilibrium of discrete conservative systems.
BICOM 92/7: S. Shaw, M. K. Warby, J. R. Walton & J. R. Whiteman.
Finite element modelling of viscoelastic deformation and of Mode I linear viscoelastic fracture.
Ph.D. Thesis: C. M. M. Carey.
Procedure for optimal evaluation of shell finite elements.
(Supervisor: Prof. L. S. D. Morley.)

1991 technical reports and publications: [top] [pre '91] [1992]

BICOM 91/1: M. K. Warby, J. R. Walton & J. R. Whiteman.
Numerical modelling of Mode I linear viscoelastic fracture.
(Proc. Ninth US Army Conf. on Applied Mathematics and Computing.)
BICOM 91/2: M. K. Warby & J. R. Whiteman.
The computational modelling of thermoforming for the creation of axisymmetric container structures.
BICOM 91/3: E. D. Providas.
The linear moment geometrically nonlinear triangle which passes the Von Karman patch test.
BICOM 91/4: M. S. Darwish, J. R. Whiteman & M. J. Bevis.
Numerical modelling of viscoelastic liquids using a finite volume method.

[1991] [1992] [1993] [1994] [1995] [1996] [1997] [1998] [1999] [2000] [2001] [2002] [2003] [2004] [top] [BICOM]


Earlier technical reports and publications: [top]

There are many other technical reports in BICOM dating from before 1991, if you are interested in any of these, or in obtaining an index, please write directly to BICOM at the following address.



BICOM,
Brunel University, Uxbridge, UB8 3PH,
England.

icsrbicm@brunel.ac.uk