Vanessa Styles
Vanessa Styles
Verified email at sussex.ac.uk - Homepage
Title
Cited by
Cited by
Year
Finite element approximation of a Cahn-Hilliard-Navier-Stokes system
D Kay, V Styles, R Welford
Interfaces Free Bound 10 (1), 15-43, 2008
1112008
Finite element approximation of a phase field model for void electromigration
JW Barrett, R Nürnberg, V Styles
SIAM Journal on Numerical Analysis 42 (2), 738-772, 2004
952004
A Cahn–Hilliard–Darcy model for tumour growth with chemotaxis and active transport
H Garcke, KF Lam, E Sitka, V Styles
Mathematical Models and Methods in Applied Sciences 26 (06), 1095-1148, 2016
892016
Numerical computation of advection and diffusion on evolving diffuse interfaces
CM Elliott, B Stinner, V Styles, R Welford
IMA Journal of Numerical Analysis 31 (3), 786-812, 2011
822011
Discontinuous Galerkin finite element approximation of the Cahn–Hilliard equation with convection
D Kay, V Styles, E Süli
SIAM Journal on Numerical Analysis 47 (4), 2660-2685, 2009
662009
Phase-field approaches to structural topology optimization
L Blank, H Garcke, L Sarbu, T Srisupattarawanit, V Styles, A Voigt
Constrained optimization and optimal control for partial differential …, 2012
552012
Numerical diffusion-induced grain boundary motion
K Deckelnick, CM Elliott, V Styles
Interfaces and Free Boundaries 3 (4), 393-414, 2001
512001
An ALE ESFEM for solving PDEs on evolving surfaces
CM Elliott, V Styles
Milan Journal of Mathematics 80 (2), 469-501, 2012
452012
Primal‐dual active set methods for Allen–Cahn variational inequalities with nonlocal constraints
L Blank, H Garcke, L Sarbu, V Styles
Numerical Methods for Partial Differential Equations 29 (3), 999-1030, 2013
442013
Relating phase field and sharp interface approaches to structural topology optimization
L Blank, H Garcke, MH Farshbaf-Shaker, V Styles
ESAIM: Control, Optimisation and Calculus of Variations 20 (4), 1025-1058, 2014
432014
Gradient bounds and rigidity results for singular, degenerate, anisotropic partial differential equations
M Cozzi, A Farina, E Valdinoci
arXiv preprint arXiv:1305.2303, 2013
312013
Multi-material phase field approach to structural topology optimization
L Blank, MH Farshbaf-Shaker, H Garcke, C Rupprecht, V Styles
Trends in PDE constrained optimization, 231-246, 2014
252014
Nonlocal Allen–Cahn systems: analysis and a primal–dual active set method
L Blank, H Garcke, L Sarbu, V Styles
IMA Journal of Numerical Analysis 33 (4), 1126-1155, 2013
252013
Computations of bidirectional grain boundary dynamics in thin metallic films
CM Elliott, V Styles
Journal of Computational Physics 187 (2), 524-543, 2003
222003
Computations of bidirectional grain boundary dynamics in thin metallic films
CM Elliott, V Styles
Journal of Computational Physics 187 (2), 524-543, 2003
222003
Analysis of a mean field model of superconducting vortices
R Schätzle, V Styles
European Journal of Applied Mathematics 10 (4), 319-352, 1999
211999
Allen-Cahn and Cahn-Hilliard variational inequalities solved with optimization techniques
L Blank, M Butz, H Garcke, L Sarbu, V Styles
Constrained Optimization and Optimal Control for Partial Differential …, 2012
202012
A texture synthesis model based on semi-discrete optimal transport in patch space
B Galerne, A Leclaire, J Rabin
SIAM Journal on Imaging Sciences 11 (4), 2456-2493, 2018
192018
Bi-directional diffusion induced grain boundary motion with triple junctions
H Garcke, V Styles
Interfaces and Free Boundaries 6 (3), 271-294, 2004
182004
Numerical analysis of a mean field model of superconducting vortices
CM Elliott, V Styles
IMA journal of numerical analysis 21 (1), 1-51, 2001
182001
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