## Barrett, John W.

Compute Distance To:
 Author ID: barrett.john-w.1 Published as: Barrett, John W.; Barrett, J. W.; Barrett, John. W. more...less Homepage: http://wwwf.imperial.ac.uk/~jwb/ External Links: MGP
 Documents Indexed: 146 Publications since 1980 Biographic References: 1 Publication Co-Authors: 27 Co-Authors with 143 Joint Publications 924 Co-Co-Authors
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### Co-Authors

 1 single-authored 45 Nürnberg, Robert 41 Garcke, Harald 17 Süli, Endre E. 15 Blowey, James F. 14 Elliott, Charles M. 12 Liu, Steve Wenbin 10 Prigozhin, Leonid B. 7 Morton, Keith William 5 Deckelnick, Klaus 4 Knabner, Peter 3 Boyaval, Sébastien 3 Feng, Xiaobing 3 Prohl, Andreas 3 Styles, Vanessa 3 Wood, Patrick A. 2 Chakrabarti, Roma 2 Moore, Gerald 2 Shanahan, Robert M. 1 Bao, Weizhu 1 Bärenz, Manuel 1 Bartels, Sören 1 El Alaoui, Linda 1 Glaser, Lisa 1 Kappmeier, H. 1 Langdon, Stephen 1 Lu, Yong 1 Schneider, Mathias 1 Schwab, Christoph 1 Warner, Mark R. E.
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### Serials

 26 IMA Journal of Numerical Analysis 19 Numerische Mathematik 14 SIAM Journal on Numerical Analysis 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Interfaces and Free Boundaries 5 Journal of Computational Physics 4 Mathematics of Computation 4 RAIRO. Modélisation Mathématique et Analyse Numérique 3 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Differential Equations 2 Numerical Functional Analysis and Optimization 2 SIAM Journal on Mathematical Analysis 2 SIAM Journal on Scientific Computing 2 Communications in Mathematical Sciences 2 Discrete and Continuous Dynamical Systems. Series S 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 Journal of Mathematical Analysis and Applications 1 International Journal for Numerical Methods in Engineering 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Publications de l’Institut Mathématique. Nouvelle Série 1 Numerical Methods for Partial Differential Equations 1 Journal of Scientific Computing 1 European Journal of Applied Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 Novi Sad Journal of Mathematics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Nonlinear Analysis. Real World Applications 1 Multiscale Modeling & Simulation 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Computational Physics 1 Nonlinear Analysis. Theory, Methods & Applications 1 SMAI Journal of Computational Mathematics
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### Fields

 115 Numerical analysis (65-XX) 105 Partial differential equations (35-XX) 55 Fluid mechanics (76-XX) 29 Statistical mechanics, structure of matter (82-XX) 16 Calculus of variations and optimal control; optimization (49-XX) 15 Classical thermodynamics, heat transfer (80-XX) 14 Differential geometry (53-XX) 8 Mechanics of deformable solids (74-XX) 8 Biology and other natural sciences (92-XX) 2 Ordinary differential equations (34-XX) 2 Functional analysis (46-XX) 2 Quantum theory (81-XX) 2 Geophysics (86-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

138 Publications have been cited 2,044 times in 1,150 Documents Cited by Year
Finite element approximation of the Cahn-Hilliard equation with degenerate mobility. Zbl 0947.65109
Barrett, John W.; Blowey, James F.; Garcke, Harald
1999
Finite element approximation of the $$p$$-Laplacian. Zbl 0791.65084
Barrett, John W.; Liu, W. B.
1993
Fitted and unfitted finite-element methods for elliptic equations with smooth interfaces. Zbl 0629.65118
Barrett, John W.; Elliott, Charles M.
1987
A parametric finite element method for fourth order geometric evolution equations. Zbl 1112.65093
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility. Zbl 1126.65321
Barrett, John W.; Blowey, James F.
1999
Finite element approximation of the parabolic $$p$$-Laplacian. Zbl 0805.65097
Barrett, John W.; Liu, W. B.
1994
Quasi-norm error bounds for the finite element approximation of a non- Newtonian flow. Zbl 0811.76036
Barrett, John W.; Liu, W. B.
1994
On the parametric finite element approximation of evolving hypersurfaces in $$\mathbb R^3$$. Zbl 1145.65068
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Approximate symmetrization and Petrov-Galerkin methods for diffusion- convection problems. Zbl 0562.76086
Barrett, J. W.; Morton, K. W.
1984
Existence and equilibration of global weak solutions to kinetic models for dilute polymers. I: Finitely extensible nonlinear bead-spring chains. Zbl 1244.35101
Barrett, John W.; Süli, Endre
2011
Parametric approximation of willmore flow and related geometric evolution equations. Zbl 1186.65133
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
On the variational approximation of combined second and fourth order geometric evolution equations. Zbl 1148.65074
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
Existence of global weak solutions for some polymeric flow models. Zbl 1161.76453
Barrett, John W.; Schwab, Christoph; Süli, Endre
2005
Finite element approximation of the Dirichlet problem using the boundary penalty method. Zbl 0614.65116
Barrett, John W.; Elliott, Charles M.
1986
Finite element approximation of a fourth order nonlinear degenerate parabolic equation. Zbl 0913.65084
Barrett, John W.; Blowey, James F.; Garcke, Harald
1998
Finite element approximation of a phase field model for void electromigration. Zbl 1076.78012
Barrett, John W.; Nürnberg, Robert; Styles, Vanessa
2004
On fully practical finite element approximations of degenerate Cahn-Hilliard systems. Zbl 0987.35071
Barrett, John W.; Blowey, James F.; Garcke, Harald
2001
A remark on the regularity of the solutions of the $$p$$-Laplacian and its application to their finite element approximation. Zbl 0799.35085
Liu, W. B.; Barrett, John W.
1993
Finite element approximation of a nonlinear cross-diffusion population model. Zbl 1058.65104
Barrett, John W.; Blowey, James F.
2004
Finite element error analysis of a quasi-Newtonian flow obeying the Carreau or power law. Zbl 0796.76049
Barrett, John W.; Liu, W. B.
1993
Existence and approximation of a (regularized) Oldroyd-B model. Zbl 1256.35048
Barrett, John W.; Boyaval, Sébastien
2011
Existence of global weak solutions to some regularized kinetic models for dilute polymers. Zbl 1228.76004
Barrett, John W.; Süli, Endre
2007
Existence and equilibration of global weak solutions to kinetic models for dilute polymers II: Hookean-type models. Zbl 1237.35127
Barrett, John W.; Süli, Endre
2012
Finite element approximation of the transport of reactive solutes in porous media. II: Error estimates for equilibrium adsorption processes. Zbl 0904.76039
Barrett, John W.; Knabner, Peter
1997
The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Zbl 1218.65105
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2011
Bean’s critical-state model as the $$p\rightarrow\infty$$ limit of an evolutionary $$p$$-Laplacian equation. Zbl 1170.82436
Barrett, John W.; Prigozhin, Leonid
2000
An error bound for the finite element approximation of the Cahn-Hilliard equation with logarithmic free energy. Zbl 0851.65070
Barrett, John W.; Blowey, James F.
1995
Finite element approximation of some degenerate monotone quasilinear elliptic systems. Zbl 0846.65064
Liu, W. B.; Barrett, John W.
1996
A quasi-variational inequality problem in superconductivity. Zbl 1225.35133
Barrett, John W.; Prigozhin, Leonid
2010
Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy. Zbl 0882.65129
Barrett, John W.; Blowey, James F.
1997
A stable numerical method for the dynamics of fluidic membranes. Zbl 1391.76298
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2016
A finite-element method for solving elliptic equations with Neumann data on a curved boundary using unfitted meshes. Zbl 0574.65121
Barrett, John W.; Elliott, Charles M.
1984
Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity. Zbl 1364.35254
Barrett, John W.; Süli, Endre
2012
Existence of global weak solutions to dumbbell models for dilute polymers with microscopic cut-off. Zbl 1158.35070
Barrett, John W.; Süli, Endre
2008
Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model. Zbl 1390.35007
Barrett, John W.; Lu, Yong; Süli, Endre
2017
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Zbl 1242.65188
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2012
Total flux estimates for a finite-element approximation of elliptic equations. Zbl 0619.65098
Barrett, John W.; Elliott, Charles M.
1987
Finite element approximation of the transport of reactive solutes in porous media. I: Error estimates for nonequilibrium adsorption processes. Zbl 0870.76039
Barrett, John W.; Knabner, Peter
1997
Numerical approximation of anisotropic geometric evolution equations in the plane. Zbl 1145.65069
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
On the stable numerical approximation of two-phase flow with insoluble surfactant. Zbl 1315.35156
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Finite element approximation of surfactant spreading on a thin film. Zbl 1130.76361
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2003
Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Zbl 1205.65263
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
A variational formulation of anisotropic geometric evolution equations in higher dimensions. Zbl 1149.65082
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
A convergent and constraint-preserving finite element method for the $$p$$-harmonic flow into spheres. Zbl 1155.35055
Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2007
Numerical approximation of gradient flows for closed curves in $$\mathbb R^{d}$$. Zbl 1185.65027
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
A stable parametric finite element discretization of two-phase Navier-Stokes flow. Zbl 1320.76059
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Numerical analysis for a system coupling curve evolution to reaction diffusion on the curve. Zbl 1365.65218
Barrett, John W.; Deckelnick, Klaus; Styles, Vanessa
2017
Sandpiles and superconductors: Nonconforming linear finite element approximations for mixed formulations of quasi-variational inequalities. Zbl 1312.65105
Barrett, John W.; Prigozhin, Leonid
2015
Existence of global weak solutions to compressible isentropic finitely extensible bead-spring chain models for dilute polymers. Zbl 1336.35273
Barrett, John W.; Süli, Endre
2016
An error bound for the finite element approximation of a model for phase separation of a multi-component alloy. Zbl 0849.65069
Barrett, John W.; Blowey, James F.
1996
Elastic flow with junctions: variational approximation and applications to nonlinear splines. Zbl 1252.76038
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2012
A priori and a posteriori error bounds for a nonconforming linear finite element approximation of a non-Newtonian flow. Zbl 0912.76025
Bao, Weizhu; Barrett, John W.
1998
Finite element approximation of a degenerate Allen-Cahn/Cahn-Hilliard system. Zbl 1012.35004
Barrett, John W.; Blowey, James F.
2001
Stable finite element approximations of two-phase flow with soluble surfactant. Zbl 1349.76175
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Parametric finite element approximations of curvature-driven interface evolutions. Zbl 1455.35185
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2020
Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers. Zbl 1314.82005
Barrett, John W.; Süli, Endre
2012
Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Zbl 1041.65076
Barrett, John W.; Langdon, Stephen; Nürnberg, Robert
2004
Convergence of a finite-element approximation of surfactant spreading on a thin film in the presence of van der Waals forces. Zbl 1143.76473
Barrett, J. W.; Nürnberg, R.
2004
Reflections on Dubinskiĭ’s nonlinear compact embedding theorem. Zbl 1265.46037
Barrett, John W.; Süli, Endre
2012
Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Zbl 1078.74050
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2006
On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. Zbl 1201.80075
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
A mixed formulation of the Monge-Kantorovich equations. Zbl 1132.35333
Barrett, John W.; Prigozhin, Leonid
2007
Optimal finite element solutions to diffusion-convection problems in one dimension. Zbl 0442.76069
Barrett, J. W.; Morton, K. W.
1980
A quasi-variational inequality problem arising in the modeling of growing sandpiles. Zbl 1332.65090
Barrett, John W.; Prigozhin, Leonid
2013
Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear elliptic equations and variational inequalities. Zbl 0820.65073
Liu, W. B.; Barrett, John W.
1994
Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. Zbl 1286.76040
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2013
Lakes and rivers in the landscape: a quasi-variational inequality approach. Zbl 1297.35122
Barrett, John W.; Prigozhin, Leonid
2014
Higher-order regularity for the solutions of some degenerate quasilinear elliptic equations in the plane. Zbl 0802.35013
Liu, W. B.; Barrett, John W.
1993
Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: the two-dimensional case. Zbl 1343.35183
Barrett, John W.; Süli, Endre
2016
Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering. Zbl 1410.80015
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
A phase field model for the electromigration of intergranular voids. Zbl 1132.35082
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
Dual formulations in critical state problems. Zbl 1108.35098
Barrett, John W.; Prigozhin, Leonid
2006
Finite element approximation of a model reaction-diffusion problem with a non-Lipschitz nonlinearity. Zbl 0735.65078
Barrett, John W.; Shanahan, Robert M.
1991
Optimal Petrov-Galerkin methods through approximate symmetrization. Zbl 0471.65059
Barrett, J. W.; Morton, K. W.
1981
Finite element approximation of a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix. Zbl 0899.76262
Barrett, John W.; Blowey, James F.
1998
Finite element approximation of an Allen-Cahn/Cahn-Hilliard system. Zbl 1036.76030
Barrett, John W.; Blowey, James F.
2002
A further remark on the regularity of the solutions of the $$p$$-Laplacian and its applications to their finite element approximation. Zbl 0856.35017
Liu, W. B.; Barrett, John W.
1993
Fixed mesh finite element approximations to a free boundary problem for an elliptic equation with an oblique derivative boundary condition. Zbl 0591.65072
Barrett, John W.; Elliott, Charles M.
1985
A practical finite element approximation of a semi-definite Neumann problem on a curved domain. Zbl 0617.65110
Barrett, John W.; Elliott, Charles M.
1987
Finite element approximation of degenerate quasilinear elliptic and parabolic problems. Zbl 0798.65092
Barrett, J. W.; Liu, Wenbin
1994
Finite-element approximation of elliptic equations with a Neumann or Robin condition on a curved boundary. Zbl 0658.65106
Barrett, John W.; Elliott, Charles M.
1988
Finite element approximation of one-sided Stefan problems with anisotropic, approximately crystalline, Gibbs-Thomson law. Zbl 1271.80005
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2013
Partial $$L^1$$ Monge-Kantorovich problem: variational formulation and numerical approximation. Zbl 1219.35371
Barrett, John W.; Prigozhin, Leonid
2009
Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids. Zbl 1379.35232
Barrett, John W.; Süli, Endre
2018
Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation. Zbl 1097.35082
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
2006
Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid. Zbl 1329.35241
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
On $$p$$-harmonic map heat flows for $$1\leq p<\infty$$ and their finite element approximations. Zbl 1182.35154
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
2008
Monte Carlo simulations of random non-commutative geometries. Zbl 1344.81111
Barrett, John W.; Glaser, Lisa
2016
An improved error bound for a Lagrange-Galerkin method for contaminant transport with non-Lipschitzian adsorption kinetics. Zbl 0911.65078
Barrett, John W.; Knabner, Peter
1998
Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation. Zbl 1007.65076
Barrett, John W.; Nürnberg, Robert
2002
Error bounds for the finite element approximation of a degenerate quasilinear parabolic variational inequality. Zbl 0824.65044
Liu, W. B.; Barrett, John W.
1993
Finite element methods for fourth order axisymmetric geometric evolution equations. Zbl 1416.65334
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2019
Quasi-norm error bounds for the finite element approximation of some degenerate quasilinear parabolic equations and variational inequalities. Zbl 0861.65076
Liu, W. B.; Barrett, John W.
1995
Finite element approximation of soluble surfactant spreading on a thin film. Zbl 1301.76044
Barrett, John W.; Nürnberg, Robert; Warner, Mark R. E.
2006
Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Zbl 1394.76064
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
A finite element method on a fixed mesh for the Stefan problem with convection in a saturated porous medium. Zbl 0527.76096
Barrett, J. W.; Elliott, C. M.
1982
Existence, uniqueness and approximation of a doubly-degenerate nonlinear parabolic system modelling bacterial evolution. Zbl 1144.35026
Barrett, John W.; Deckelnick, Klaus
2007
An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy. Zbl 0970.65101
Barrett, John W.; Blowey, James F.
1999
Dichromatic state sum models for four-manifolds from pivotal functors. Zbl 1414.57017
Bärenz, Manuel; Barrett, John
2018
Variational discretization of axisymmetric curvature flows. Zbl 1419.65051
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2019
Stable approximations for axisymmetric Willmore flow for closed and open surfaces. Zbl 07405585
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2021
Parametric finite element approximations of curvature-driven interface evolutions. Zbl 1455.35185
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2020
Numerical approximation of curve evolutions in Riemannian manifolds. Zbl 1466.65121
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2020
Finite element methods for fourth order axisymmetric geometric evolution equations. Zbl 1416.65334
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2019
Variational discretization of axisymmetric curvature flows. Zbl 1419.65051
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2019
Stable discretizations of elastic flow in Riemannian manifolds. Zbl 1422.65249
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2019
Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids. Zbl 1379.35232
Barrett, John W.; Süli, Endre
2018
Dichromatic state sum models for four-manifolds from pivotal functors. Zbl 1414.57017
Bärenz, Manuel; Barrett, John
2018
Gradient flow dynamics of two-phase biomembranes: sharp interface variational formulation and finite element approximation. Zbl 1416.74070
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2018
Existence of large-data global-in-time finite-energy weak solutions to a compressible FENE-P model. Zbl 1414.35162
Barrett, John W.; Süli, Endre
2018
Finite element approximation of the FENE-P model. Zbl 1459.65179
Barrett, John W.; Boyaval, Sébastien
2018
Corrigendum to: “Finite element approximation of the FENE-P model”. Zbl 1459.65180
Barrett, John W.; Boyaval, Sébastien
2018
Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model. Zbl 1390.35007
Barrett, John W.; Lu, Yong; Süli, Endre
2017
Numerical analysis for a system coupling curve evolution to reaction diffusion on the curve. Zbl 1365.65218
Barrett, John W.; Deckelnick, Klaus; Styles, Vanessa
2017
Finite element approximation for the dynamics of asymmetric fluidic biomembranes. Zbl 1394.76064
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature. Zbl 1433.65206
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
Finite element approximation for the dynamics of fluidic two-phase biomembranes. Zbl 1383.35153
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2017
A stable numerical method for the dynamics of fluidic membranes. Zbl 1391.76298
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2016
Existence of global weak solutions to compressible isentropic finitely extensible bead-spring chain models for dilute polymers. Zbl 1336.35273
Barrett, John W.; Süli, Endre
2016
Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead-spring chain models for dilute polymers: the two-dimensional case. Zbl 1343.35183
Barrett, John W.; Süli, Endre
2016
Monte Carlo simulations of random non-commutative geometries. Zbl 1344.81111
Barrett, John W.; Glaser, Lisa
2016
Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects. Zbl 1428.53104
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2016
On the stable numerical approximation of two-phase flow with insoluble surfactant. Zbl 1315.35156
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
A stable parametric finite element discretization of two-phase Navier-Stokes flow. Zbl 1320.76059
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Sandpiles and superconductors: Nonconforming linear finite element approximations for mixed formulations of quasi-variational inequalities. Zbl 1312.65105
Barrett, John W.; Prigozhin, Leonid
2015
Stable finite element approximations of two-phase flow with soluble surfactant. Zbl 1349.76175
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Stable numerical approximation of two-phase flow with a Boussinesq-Scriven surface fluid. Zbl 1329.35241
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2015
Lakes and rivers in the landscape: a quasi-variational inequality approach. Zbl 1297.35122
Barrett, John W.; Prigozhin, Leonid
2014
Stable phase field approximations of anisotropic solidification. Zbl 1310.65120
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2014
Existence and approximation of a mixed formulation for thin film magnetization problems in superconductivity. Zbl 1295.35019
Barrett, John W.; Prigozhin, Leonid
2014
Phase field models versus parametric front tracking methods: are they accurate and computationally efficient? Zbl 1388.65096
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2014
A quasi-variational inequality problem arising in the modeling of growing sandpiles. Zbl 1332.65090
Barrett, John W.; Prigozhin, Leonid
2013
Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow. Zbl 1286.76040
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2013
Finite element approximation of one-sided Stefan problems with anisotropic, approximately crystalline, Gibbs-Thomson law. Zbl 1271.80005
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2013
On the stable discretization of strongly anisotropic phase field models with applications to crystal growth. Zbl 1427.74161
Barrett, John. W.; Garcke, Harald; Nürnberg, Robert
2013
Existence and equilibration of global weak solutions to kinetic models for dilute polymers II: Hookean-type models. Zbl 1237.35127
Barrett, John W.; Süli, Endre
2012
Existence of global weak solutions to finitely extensible nonlinear bead-spring chain models for dilute polymers with variable density and viscosity. Zbl 1364.35254
Barrett, John W.; Süli, Endre
2012
Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves. Zbl 1242.65188
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2012
Elastic flow with junctions: variational approximation and applications to nonlinear splines. Zbl 1252.76038
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2012
Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers. Zbl 1314.82005
Barrett, John W.; Süli, Endre
2012
Reflections on Dubinskiĭ’s nonlinear compact embedding theorem. Zbl 1265.46037
Barrett, John W.; Süli, Endre
2012
Existence and approximation of a nonlinear degenerate parabolic system modelling acid-mediated tumour invasion. Zbl 1258.35127
Barrett, John W.; Deckelnick, Klaus
2012
Existence and equilibration of global weak solutions to kinetic models for dilute polymers. I: Finitely extensible nonlinear bead-spring chains. Zbl 1244.35101
Barrett, John W.; Süli, Endre
2011
Existence and approximation of a (regularized) Oldroyd-B model. Zbl 1256.35048
Barrett, John W.; Boyaval, Sébastien
2011
The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute. Zbl 1218.65105
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2011
Finite element approximation of kinetic dilute polymer models with microscopic cut-off. Zbl 1291.35170
Barrett, John W.; Süli, Endre
2011
A quasi-variational inequality problem in superconductivity. Zbl 1225.35133
Barrett, John W.; Prigozhin, Leonid
2010
Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies. Zbl 1205.65263
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
Numerical approximation of gradient flows for closed curves in $$\mathbb R^{d}$$. Zbl 1185.65027
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
On stable parametric finite element methods for the Stefan problem and the Mullins-Sekerka problem with applications to dendritic growth. Zbl 1201.80075
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering. Zbl 1410.80015
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2010
Existence of global weak solutions to Fokker-Planck and Navier-Stokes-Fokker-Planck equations in kinetic models of dilute polymers. Zbl 1220.35178
Barrett, John W.; Süli, Endre
2010
Partial $$L^1$$ Monge-Kantorovich problem: variational formulation and numerical approximation. Zbl 1219.35371
Barrett, John W.; Prigozhin, Leonid
2009
Numerical approximation of corotational dumbbell models for dilute polymers. Zbl 1180.82232
Barrett, John W.; Süli, Endre
2009
On the parametric finite element approximation of evolving hypersurfaces in $$\mathbb R^3$$. Zbl 1145.65068
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Parametric approximation of willmore flow and related geometric evolution equations. Zbl 1186.65133
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Existence of global weak solutions to dumbbell models for dilute polymers with microscopic cut-off. Zbl 1158.35070
Barrett, John W.; Süli, Endre
2008
Numerical approximation of anisotropic geometric evolution equations in the plane. Zbl 1145.65069
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
A variational formulation of anisotropic geometric evolution equations in higher dimensions. Zbl 1149.65082
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
On $$p$$-harmonic map heat flows for $$1\leq p<\infty$$ and their finite element approximations. Zbl 1182.35154
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
2008
On sharp interface limits of Allen-Cahn/Cahn-Hilliard variational inequalities. Zbl 1165.35406
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2008
Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants. Zbl 1147.76038
Barrett, John W.; El Alaoui, Linda
2008
Existence of global weak solutions to coupled Navier-Stokes-Fokker-Planck systems: a brief survey. Zbl 1274.35001
Barrett, John W.; Süli, Endre
2008
A parametric finite element method for fourth order geometric evolution equations. Zbl 1112.65093
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
On the variational approximation of combined second and fourth order geometric evolution equations. Zbl 1148.65074
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
Existence of global weak solutions to some regularized kinetic models for dilute polymers. Zbl 1228.76004
Barrett, John W.; Süli, Endre
2007
A convergent and constraint-preserving finite element method for the $$p$$-harmonic flow into spheres. Zbl 1155.35055
Barrett, John W.; Bartels, Sören; Feng, Xiaobing; Prohl, Andreas
2007
A mixed formulation of the Monge-Kantorovich equations. Zbl 1132.35333
Barrett, John W.; Prigozhin, Leonid
2007
A phase field model for the electromigration of intergranular voids. Zbl 1132.35082
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2007
Existence, uniqueness and approximation of a doubly-degenerate nonlinear parabolic system modelling bacterial evolution. Zbl 1144.35026
Barrett, John W.; Deckelnick, Klaus
2007
Finite element approximation of a phase field model for surface diffusion of voids in a stressed solid. Zbl 1078.74050
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2006
Dual formulations in critical state problems. Zbl 1108.35098
Barrett, John W.; Prigozhin, Leonid
2006
Convergence of a fully discrete finite element method for a degenerate parabolic system modelling nematic liquid crystals with variable degree of orientation. Zbl 1097.35082
Barrett, John W.; Feng, Xiaobing; Prohl, Andreas
2006
Finite element approximation of soluble surfactant spreading on a thin film. Zbl 1301.76044
Barrett, John W.; Nürnberg, Robert; Warner, Mark R. E.
2006
Sandpiles and superconductors: dual variational formulations for critical-state problems. Zbl 1214.49007
Barrett, J. W.; Prigozhin, L.
2006
Existence of global weak solutions for some polymeric flow models. Zbl 1161.76453
Barrett, John W.; Schwab, Christoph; Süli, Endre
2005
Finite element approximation of a phase field model for void electromigration. Zbl 1076.78012
Barrett, John W.; Nürnberg, Robert; Styles, Vanessa
2004
Finite element approximation of a nonlinear cross-diffusion population model. Zbl 1058.65104
Barrett, John W.; Blowey, James F.
2004
Finite element approximation of a sixth order nonlinear degenerate parabolic equation. Zbl 1041.65076
Barrett, John W.; Langdon, Stephen; Nürnberg, Robert
2004
Convergence of a finite-element approximation of surfactant spreading on a thin film in the presence of van der Waals forces. Zbl 1143.76473
Barrett, J. W.; Nürnberg, R.
2004
Finite element approximation of a Stefan problem with degenerate Joule heating. Zbl 1072.80010
Barrett, John W.; Nürnberg, Robert
2004
Finite element approximation of surfactant spreading on a thin film. Zbl 1130.76361
Barrett, John W.; Garcke, Harald; Nürnberg, Robert
2003
Finite element approximation of an Allen-Cahn/Cahn-Hilliard system. Zbl 1036.76030
Barrett, John W.; Blowey, James F.
2002
Finite-element approximation of a nonlinear degenerate parabolic system describing bacterial pattern formation. Zbl 1007.65076
Barrett, John W.; Nürnberg, Robert
2002
On fully practical finite element approximations of degenerate Cahn-Hilliard systems. Zbl 0987.35071
Barrett, John W.; Blowey, James F.; Garcke, Harald
2001
Finite element approximation of a degenerate Allen-Cahn/Cahn-Hilliard system. Zbl 1012.35004
Barrett, John W.; Blowey, James F.
2001
An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy with a concentration dependent mobility matrix. Zbl 0990.65105
Barrett, John W.; Blowey, James F.
2001
Bean’s critical-state model as the $$p\rightarrow\infty$$ limit of an evolutionary $$p$$-Laplacian equation. Zbl 1170.82436
Barrett, John W.; Prigozhin, Leonid
2000
Finite element approximation of the Cahn-Hilliard equation with degenerate mobility. Zbl 0947.65109
Barrett, John W.; Blowey, James F.; Garcke, Harald
1999
Finite element approximation of the Cahn-Hilliard equation with concentration dependent mobility. Zbl 1126.65321
Barrett, John W.; Blowey, James F.
1999
An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy. Zbl 0970.65101
Barrett, John W.; Blowey, James F.
1999
Finite element approximation of a model for phase separation of a multi-component alloy with nonsmooth free energy and a concentration dependent mobility matrix. Zbl 0936.65120
Barrett, John W.; Blowey, James F.
1999
An optimal error bound for a finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy. Zbl 0946.65091
Barrett, John W.; Blowey, James F.
1999
Finite element approximation of a fourth order nonlinear degenerate parabolic equation. Zbl 0913.65084
Barrett, John W.; Blowey, James F.; Garcke, Harald
1998
A priori and a posteriori error bounds for a nonconforming linear finite element approximation of a non-Newtonian flow. Zbl 0912.76025
Bao, Weizhu; Barrett, John W.
1998
Finite element approximation of a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix. Zbl 0899.76262
Barrett, John W.; Blowey, James F.
1998
An improved error bound for a Lagrange-Galerkin method for contaminant transport with non-Lipschitzian adsorption kinetics. Zbl 0911.65078
Barrett, John W.; Knabner, Peter
1998
Finite element approximation of the transport of reactive solutes in porous media. II: Error estimates for equilibrium adsorption processes. Zbl 0904.76039
Barrett, John W.; Knabner, Peter
1997
Finite element approximation of a model for phase separation of a multi-component alloy with non-smooth free energy. Zbl 0882.65129
Barrett, John W.; Blowey, James F.
1997
Finite element approximation of the transport of reactive solutes in porous media. I: Error estimates for nonequilibrium adsorption processes. Zbl 0870.76039
Barrett, John W.; Knabner, Peter
1997
...and 38 more Documents
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### Cited by 1,543 Authors

 55 Barrett, John W. 50 Garcke, Harald 43 Nürnberg, Robert 25 Süli, Endre E. 17 Bartels, Sören 15 Elliott, Charles M. 13 Styles, Vanessa 12 Wang, Cheng 11 Olshanskii, Maxim A. 11 Wise, Steven M. 10 Hintermüller, Michael 10 Liu, Steve Wenbin 10 Nochetto, Ricardo Horacio 10 Prohl, Andreas 10 Walker, Shawn W. 10 Zhao, Quan 9 Deckelnick, Klaus 9 Igbida, Noureddine 9 Li, Buyang 9 Voigt, Axel 9 Xu, Jinchao 8 Carstensen, Carsten 8 Pop, Iuliu Sorin 8 Rautenberg, Carlos N. 7 Bao, Weizhu 7 Deka, Bhupen 7 Droniou, Jérôme 7 Guillén González, Francisco M. 7 Hansbo, Peter 7 Jüngel, Ansgar 7 Kovács, Balázs 7 Lam, Kei Fong 7 Miranville, Alain M. 7 Pozzi, Paola 7 Růžička, Michael 7 Yousept, Irwin 6 Baňas, Ľubomír 6 Blank, Luise 6 Breit, Dominic 6 Chen, Wenbin 6 Demkowicz, Leszek F. 6 Ewing, Richard Edward 6 Hughes, Thomas J. R. 6 Kim, Junseok 6 Lubich, Christian 6 Lukáčová-Medvid’ová, Mária 6 Radu, Florin Adrian 6 Reusken, Arnold 6 Santos, Lisa 6 Sinha, Rajen Kumar 6 Wang, Hong 5 Alphonse, Amal 5 Andreianov, Boris 5 Antontsev, Stanislav Nikolaevich 5 Beneš, Michal 5 Berselli, Luigi Carlo 5 Bulíček, Miroslav 5 Ern, Alexandre 5 Giga, Yoshikazu 5 Giles, Michael B. 5 Grün, Günther 5 Jia, Hongen 5 Kahle, Christian 5 Khan, Akhtar Ali 5 Laurain, Antoine 5 Liu, Chein-Shan 5 Lowengrub, John Samuel 5 Málek, Josef 5 Mikula, Karol 5 Mizerová, Hana 5 Morton, Keith William 5 Pluda, Alessandra 5 Pryer, Tristan 5 Rueda-Gómez, Diego Armando 5 Ruiz-Baier, Ricardo 5 Slodička, Marián 5 Solano, Manuel E. 5 Srinivas Kumar, V. V. K. 5 Stinner, Bjorn 5 Wen, Huanyao 5 Xu, Yan 4 Bendahmane, Mostafa 4 Bonito, Andrea 4 Boyaval, Sébastien 4 Boyer, Franck 4 Cancès, Clément 4 Chaudhary, Sudhakar 4 Chen, Yanping 4 Dahmen, Wolfgang A. 4 Dehghan Takht Fooladi, Mehdi 4 Diening, Lars 4 Engwer, Christian 4 Eymard, Robert 4 Galiano Casas, Gonzalo 4 Garvie, Marcus R. 4 Hinze, Michael 4 Kacur, Jozef 4 Kemmochi, Tomoya 4 Lai, Mingchih 4 Lu, Zuliang ...and 1,443 more Authors
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### Cited in 207 Serials

 87 Journal of Computational Physics 64 Numerische Mathematik 62 Computer Methods in Applied Mechanics and Engineering 46 Journal of Computational and Applied Mathematics 42 Computers & Mathematics with Applications 40 Mathematics of Computation 37 Journal of Scientific Computing 36 SIAM Journal on Numerical Analysis 29 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 26 Applied Numerical Mathematics 23 Journal of Differential Equations 21 Numerical Methods for Partial Differential Equations 20 SIAM Journal on Scientific Computing 17 Applied Mathematics and Computation 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Journal of Mathematical Analysis and Applications 13 European Journal of Applied Mathematics 13 Nonlinear Analysis. Real World Applications 12 Archive for Rational Mechanics and Analysis 12 SIAM Journal on Mathematical Analysis 11 Calculus of Variations and Partial Differential Equations 11 Advances in Computational Mathematics 11 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 10 Calcolo 10 Computational Methods in Applied Mathematics 8 Numerical Functional Analysis and Optimization 8 Physica D 8 Applied Mathematics Letters 8 SIAM Journal on Applied Mathematics 7 Journal of Fluid Mechanics 7 RAIRO. Modélisation Mathématique et Analyse Numérique 7 Journal of Numerical Mathematics 7 Communications in Computational Physics 7 Discrete and Continuous Dynamical Systems. Series S 6 Applicable Analysis 6 SIAM Journal on Control and Optimization 6 Computational and Applied Mathematics 6 Interfaces and Free Boundaries 6 Computational Geosciences 5 International Journal for Numerical Methods in Engineering 5 Mathematics and Computers in Simulation 5 Acta Applicandae Mathematicae 5 International Journal of Computer Mathematics 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Multiscale Modeling & Simulation 4 BIT 4 Computing 4 Computational Mechanics 4 Japan Journal of Industrial and Applied Mathematics 4 Applications of Mathematics 4 Applied Mathematical Modelling 4 NoDEA. Nonlinear Differential Equations and Applications 4 Engineering Analysis with Boundary Elements 4 Computing and Visualization in Science 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Archives of Computational Methods in Engineering 4 Foundations of Computational Mathematics 4 Science China. Mathematics 4 Advances in Nonlinear Analysis 4 East Asian Journal on Applied Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications 3 Bulletin of the Australian Mathematical Society 3 Journal of Mathematical Physics 3 Applied Mathematics and Optimization 3 Mathematische Nachrichten 3 Zeitschrift für Analysis und ihre Anwendungen 3 Chinese Annals of Mathematics. Series B 3 Communications in Partial Differential Equations 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Discrete and Continuous Dynamical Systems 3 Journal of Mathematical Fluid Mechanics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Applied Mathematics 3 Milan Journal of Mathematics 3 Advances in Difference Equations 3 International Journal of Numerical Analysis and Modeling 3 Advances in Applied Mathematics and Mechanics 3 Geometric Flows 2 Computers and Fluids 2 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Journal of Mathematical Biology 2 Mathematical Methods in the Applied Sciences 2 Nonlinearity 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Bulletin of Mathematical Biology 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Functional Analysis 2 Journal of Optimization Theory and Applications 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Mathematical and Computer Modelling 2 The Journal of Geometric Analysis 2 Journal of Global Optimization 2 Numerical Algorithms 2 Linear Algebra and its Applications 2 Continuum Mechanics and Thermodynamics 2 Computational Optimization and Applications ...and 107 more Serials
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### Cited in 39 Fields

 751 Numerical analysis (65-XX) 721 Partial differential equations (35-XX) 360 Fluid mechanics (76-XX) 128 Mechanics of deformable solids (74-XX) 101 Calculus of variations and optimal control; optimization (49-XX) 98 Statistical mechanics, structure of matter (82-XX) 68 Biology and other natural sciences (92-XX) 49 Differential geometry (53-XX) 30 Classical thermodynamics, heat transfer (80-XX) 29 Optics, electromagnetic theory (78-XX) 24 Operations research, mathematical programming (90-XX) 19 Functional analysis (46-XX) 18 Operator theory (47-XX) 15 Geophysics (86-XX) 14 Probability theory and stochastic processes (60-XX) 13 Global analysis, analysis on manifolds (58-XX) 12 Ordinary differential equations (34-XX) 12 Dynamical systems and ergodic theory (37-XX) 12 Computer science (68-XX) 11 Approximations and expansions (41-XX) 5 Information and communication theory, circuits (94-XX) 4 Combinatorics (05-XX) 4 Potential theory (31-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Systems theory; control (93-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Integral equations (45-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX)