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List of works by John W. Barrett

3D modeling of magnetic atom traps on type-II superconductor chips

A Convergent and Constraint‐Preserving Finite Element Method for the p ‐Harmonic Flow into Spheres

A Mixed Formulation of the Monge-Kantorovich Equations

article published in 2007

A QUASI-VARIATIONAL INEQUALITY PROBLEM IN SUPERCONDUCTIVITY

A Stable Parametric Finite Element Discretization of Two-Phase Navier–Stokes Flow

article published in 2014

A parametric finite element method for fourth order geometric evolution equations

A quasi-variational inequality problem arising in the modeling of growing sandpiles

A stable numerical method for the dynamics of fluidic membranes

scientific article published on 23 February 2016

A variational formulation of anisotropic geometric evolution equations in higher dimensions

Computational Parametric Willmore Flow with Spontaneous Curvature and Area Difference Elasticity Effects

Corrigendum to: Finite element approximation of the FENE-P model

ELASTIC FLOW WITH JUNCTIONS: VARIATIONAL APPROXIMATION AND APPLICATIONS TO NONLINEAR SPLINES

EXISTENCE AND APPROXIMATION OF A (REGULARIZED) OLDROYD-B MODEL

EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS I: FINITELY EXTENSIBLE NONLINEAR BEAD-SPRING CHAINS

EXISTENCE AND EQUILIBRATION OF GLOBAL WEAK SOLUTIONS TO KINETIC MODELS FOR DILUTE POLYMERS II: HOOKEAN-TYPE MODELS

Electric field formulation for thin film magnetization problems

Eliminating spurious velocities with a stable approximation of viscous incompressible two-phase Stokes flow

Erratum: Numerical computations of the dynamics of fluidic membranes and vesicles [Phys. Rev. E 92, 052704 (2015)]

correction of a scientific article; published on 06 December 2016

Existence and approximation of a mixed formulation for thin film magnetization problems in superconductivity

Existence and approximation of a nonlinear degenerate parabolic system modelling acid-mediated tumour invasion

scientific article published on 07 November 2012

Existence of Global Weak Solutions to Some Regularized Kinetic Models for Dilute Polymers

Existence of global weak solutions to compressible isentropic finitely extensible bead-spring chain models for dilute polymers

Existence of global weak solutions to compressible isentropic finitely extensible nonlinear bead–spring chain models for dilute polymers: The two-dimensional case

Existence of global weak solutions to finitely extensible nonlinear bead–spring chain models for dilute polymers with variable density and viscosity

Existence of global weak solutions to the kinetic Hookean dumbbell model for incompressible dilute polymeric fluids

article published in 2018

Existence of large-data global-in-time finite-energy weak solutions to a compressible FENE-P model

Finite Element Approximation of Soluble Surfactant Spreading on a Thin Film

Finite Element Approximation of Surfactant Spreading on a Thin Film

Finite Element Approximation of a Phase Field Model for Void Electromigration

Finite element approximation for the dynamics of asymmetric fluidic biomembranes

Finite element approximation for the dynamics of fluidic two-phase biomembranes

Finite element approximation of a Stefan problem with degenerate Joule heating

Finite element approximation of a nonlinear cross-diffusion population model

Finite element approximation of a sixth order nonlinear degenerate parabolic equation

Finite element approximation of a two-layered liquid film in the presence of insoluble surfactants

Finite element approximation of finitely extensible nonlinear elastic dumbbell models for dilute polymers

Finite element approximation of kinetic dilute polymer models with microscopic cut-off

Finite element approximation of the FENE-P model

scholarly article

Finite element methods for fourth order axisymmetric geometric evolution equations

Finite-element approximation of coupled surface and grain boundary motion with applications to thermal grooving and sintering

Lakes and rivers in the landscape: A quasi-variational inequality approach

Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve

Numerical approximation of anisotropic geometric evolution equations in the plane

Numerical approximation of corotational dumbbell models for dilute polymers

Numerical approximation of gradient flows for closed curves in Rd

Numerical computations of faceted pattern formation in snow crystal growth

scientific article published on July 26, 2012

Numerical computations of the dynamics of fluidic membranes and vesicles.

scientific article published on 3 November 2015

On p -Harmonic Map Heat Flows for $1\leqp<\infty$ and Their Finite Element Approximations

On stable parametric finite element methods for the Stefan problem and the Mullins–Sekerka problem with applications to dendritic growth

On the Energy-Based Variational Model for Vector Magnetic Hysteresis

On the Variational Approximation of Combined Second and Fourth Order Geometric Evolution Equations

On the parametric finite element approximation of evolving hypersurfaces in R 3

Parametric Approximation of Willmore Flow and Related Geometric Evolution Equations

Parametric approximation of isotropic and anisotropic elastic flow for closed and open curves

Parametric approximation of surface clusters driven by isotropic and anisotropic surface energies

Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?

Reflections on Dubinskiĭ’s nonlinear compact embedding theorem

Sandpiles and superconductors: nonconforming linear finite element approximations for mixed formulations of quasi-variational inequalities

Stable Discretizations of Elastic Flow in Riemannian Manifolds

scientific article published in 2019

Stable finite element approximations of two-phase flow with soluble surfactant

Stable phase field approximations of anisotropic solidification

Stable variational approximations of boundary value problems for Willmore flow with Gaussian curvature

The approximation of planar curve evolutions by stable fully implicit finite element schemes that equidistribute

article

Transport current and magnetization problems for thin type-II superconducting films

Variational discretization of axisymmetric curvature flows

article published in 2019