| 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 | 187 | 2016 |
| Finite element approximation of a Cahn–Hilliard–Navier–Stokes system V Styles, D Kay, R Welford Interfaces and free Boundaries 10 (1), 15-43, 2008 | 169 | 2008 |
| A sensor kinase controls turgor-driven plant infection by the rice blast fungus LS Ryder, YF Dagdas, MJ Kershaw, C Venkataraman, A Madzvamuse, ... Nature 574 (7778), 423-427, 2019 | 117 | 2019 |
| 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 | 116 | 2004 |
| 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 | 114 | 2009 |
| 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 | 96 | 2011 |
| 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 | 95 | 2012 |
| 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 | 72 | 2014 |
| An ALE ESFEM for solving PDEs on evolving surfaces CM Elliott, V Styles Milan Journal of Mathematics 80 (2), 469-501, 2012 | 67 | 2012 |
| 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 | 56 | 2013 |
| Numerical diffusion-induced grain boundary motion CM Elliott, K Deckelnick, V Styles Interfaces and Free Boundaries 3 (4), 393-414, 2001 | 54 | 2001 |
| 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 | 38 | 2014 |
| Numerical analysis for a system coupling curve evolution to reaction diffusion on the curve JW Barrett, K Deckelnick, V Styles SIAM Journal on Numerical Analysis 55 (2), 1080-1100, 2017 | 36 | 2017 |
| 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 | 31 | 2013 |
| Double obstacle phase field approach to an inverse problem for a discontinuous diffusion coefficient K Deckelnick, CM Elliott, V Styles Inverse Problems 32 (4), 045008, 2016 | 26 | 2016 |
| Computations of bidirectional grain boundary dynamics in thin metallic films CM Elliott, V Styles Journal of Computational Physics 187 (2), 524-543, 2003 | 23 | 2003 |
| 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 | 22 | 2012 |
| Numerical analysis of an inverse problem for the eikonal equation K Deckelnick, CM Elliott, V Styles Numerische Mathematik 119, 245-269, 2011 | 22 | 2011 |
| Analysis of a mean field model of superconducting vortices R Schätzle, V Styles European Journal of Applied Mathematics 10 (4), 319-352, 1999 | 21 | 1999 |
| Cahn--Hilliard inpainting with the double obstacle potential H Garcke, KF Lam, V Styles SIAM Journal on Imaging Sciences 11 (3), 2064-2089, 2018 | 20 | 2018 |
