Vanessa Styles

According to our database, Vanessa Styles authored at least 20 papers between 2004 and 2023.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of five.

2023

Existence of solution to a system of PDEs modeling the crystal growth inside lithium batteries.

Omar Lakkis, Alexandros Skouras, Vanessa Styles

CoRR, 2023

2022

Force Estimation during Cell Migration Using Mathematical Modelling.

Fengwei Yang, Chandrasekhar Venkataraman, Sai Gu, Vanessa Styles, Anotida Madzvamuse

J. Imaging, 2022

2021

Preconditioning nonlocal multi-phase flow.

David Kay, Vanessa Styles

J. Comput. Phys., 2021

Finite element error analysis for a system coupling surface evolution to diffusion on the surface.

Klaus Deckelnick, Vanessa Styles

CoRR, 2021

2020

Finite element approximation of a phase field model for tumour growth.

Joe Eyles, Robert Nürnberg, Vanessa Styles

CoRR, 2020

Numerical analysis for a system coupling curve evolution attached orthogonally to a fixed boundary, to a reaction-diffusion equation on the curve.

Vanessa Styles, James Van Yperen

CoRR, 2020

A Practical Phase Field Method for an Elliptic Surface PDE.

John W. Barrett, Klaus Deckelnick, Vanessa Styles

CoRR, 2020

2019

Hamilton-Jacobi equations on an evolving surface.

Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura, Vanessa Styles

Math. Comput., 2019

Finite Element Approximation of a System Coupling Curve Evolution with Prescribed Normal Contact to a Fixed Boundary to Reaction-Diffusion on the Curve.

Vanessa Styles, James Van Yperen

Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2018

Cahn-Hilliard Inpainting with the Double Obstacle Potential.

Harald Garcke, Kei Fong Lam, Vanessa Styles

SIAM J. Imaging Sci., 2018

Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface.

Klaus Deckelnick, Vanessa Styles

Numerische Mathematik, 2018

2017

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

John W. Barrett, Klaus Deckelnick, Vanessa Styles

SIAM J. Numer. Anal., 2017

2015

Whole cell tracking through the optimal control of geometric evolution laws.

Konstantinos N. Blazakis, Anotida Madzvamuse, Constantino Carlos Reyes-Aldasoro, Vanessa Styles, Chandrasekhar Venkataraman

J. Comput. Phys., 2015

2012

Phase-field Approaches to Structural Topology Optimization.

Luise Blank, Harald Garcke, Lavinia Sarbu, Tarin Srisupattarawanit, Vanessa Styles, Axel Voigt

Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques.

Luise Blank, Martin Butz, Harald Garcke, Lavinia Sarbu, Vanessa Styles

Proceedings of the Constrained Optimization and Optimal Control for Partial Differential Equations, 2012

2011

Numerical analysis of an inverse problem for the eikonal equation.

Klaus Deckelnick, Charles M. Elliott, Vanessa Styles

Numerische Mathematik, 2011

2009

Discontinuous Galerkin Finite Element Approximation of the Cahn-Hilliard Equation with Convection.

David Kay, Vanessa Styles, Endre Süli

SIAM J. Numer. Anal., 2009

Optimal Control of the Propagation of a Graph in Inhomogeneous Media.

Klaus Deckelnick, Charles M. Elliott, Vanessa Styles

SIAM J. Control. Optim., 2009

2004

A Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity.

Charles M. Elliott, David Kay, Vanessa Styles

SIAM J. Numer. Anal., 2004

Finite Element Approximation of a Phase Field Model for Void Electromigration.

John W. Barrett, Robert Nürnberg, Vanessa Styles

SIAM J. Numer. Anal., 2004