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Vanessa Styles
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Journal Articles
- 2022
- [j12]Fengwei Yang
, Chandrasekhar Venkataraman
Force Estimation during Cell Migration Using Mathematical Modelling. J. Imaging 8(7): 199 (2022) - 2021
- [j11]David Kay, Vanessa Styles
Preconditioning nonlocal multi-phase flow. J. Comput. Phys. 424: 109715 (2021) - 2019
- [j10]Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura
Hamilton-Jacobi equations on an evolving surface. Math. Comput. 88(320): 2635-2664 (2019) - 2018
- [j9]Klaus Deckelnick, Vanessa Styles:
Stability and error analysis for a diffuse interface approach to an advection-diffusion equation on a moving surface. Numerische Mathematik 139(3): 709-741 (2018) - [j8]Harald Garcke
Cahn-Hilliard Inpainting with the Double Obstacle Potential. SIAM J. Imaging Sci. 11(3): 2064-2089 (2018) - 2017
- [j7]John W. Barrett
Numerical Analysis for a System Coupling Curve Evolution to Reaction Diffusion on the Curve. SIAM J. Numer. Anal. 55(2): 1080-1100 (2017) - 2015
- [j6]Konstantinos N. Blazakis
Whole cell tracking through the optimal control of geometric evolution laws. J. Comput. Phys. 297: 495-514 (2015) - 2011
- [j5]Klaus Deckelnick, Charles M. Elliott
Numerical analysis of an inverse problem for the eikonal equation. Numerische Mathematik 119(2): 245 (2011) - 2009
- [j4]Klaus Deckelnick, Charles M. Elliott
Optimal Control of the Propagation of a Graph in Inhomogeneous Media. SIAM J. Control. Optim. 48(3): 1335-1352 (2009) - [j3]David Kay, Vanessa Styles, Endre Süli:
Discontinuous Galerkin Finite Element Approximation of the Cahn-Hilliard Equation with Convection. SIAM J. Numer. Anal. 47(4): 2660-2685 (2009) - 2004
- [j2]John W. Barrett
Finite Element Approximation of a Phase Field Model for Void Electromigration. SIAM J. Numer. Anal. 42(2): 738-772 (2004) - [j1]Charles M. Elliott, David Kay, Vanessa Styles:
A Finite Element Approximation of a Variational Inequality Formulation of Bean's Model for Superconductivity. SIAM J. Numer. Anal. 42(3): 1324-1341 (2004)
Conference and Workshop Papers
- 2019
- [c1]Vanessa Styles, James Van Yperen
Finite Element Approximation of a System Coupling Curve Evolution with Prescribed Normal Contact to a Fixed Boundary to Reaction-Diffusion on the Curve. ENUMATH 2019: 1215-1223
Parts in Books or Collections
- 2012
- [p2]Luise Blank, Martin Butz, Harald Garcke, Lavinia Sarbu, Vanessa Styles:
Allen-Cahn and Cahn-Hilliard Variational Inequalities Solved with Optimization Techniques. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 21-35 - [p1]Luise Blank, Harald Garcke, Lavinia Sarbu, Tarin Srisupattarawanit, Vanessa Styles, Axel Voigt:
Phase-field Approaches to Structural Topology Optimization. Constrained Optimization and Optimal Control for Partial Differential Equations 2012: 245-256
Informal and Other Publications
- 2023
- [i8]Omar Lakkis, Alexandros Skouras
Existence of solution to a system of PDEs modeling the crystal growth inside lithium batteries. CoRR abs/2310.16202 (2023) - 2021
- [i7]Klaus Deckelnick, Vanessa Styles:
Finite element error analysis for a system coupling surface evolution to diffusion on the surface. CoRR abs/2104.04827 (2021) - 2020
- [i6]John W. Barrett, Klaus Deckelnick, Vanessa Styles:
A Practical Phase Field Method for an Elliptic Surface PDE. CoRR abs/2002.07504 (2020) - [i5]Vanessa Styles, James Van Yperen
Finite element approximation of a system coupling curve evolution with prescribed normal contact to a fixed boundary to reaction-diffusion on the curve. CoRR abs/2002.11996 (2020) - [i4]David Kay, Vanessa Styles:
Preconditioning nonlocal multi-phase flow. CoRR abs/2003.00242 (2020) - [i3]Vanessa Styles, James Van Yperen:
Numerical analysis for a system coupling curve evolution attached orthogonally to a fixed boundary, to a reaction-diffusion equation on the curve. CoRR abs/2003.06910 (2020) - [i2]Joe Eyles, Robert Nürnberg, Vanessa Styles:
Finite element approximation of a phase field model for tumour growth. CoRR abs/2009.03126 (2020) - 2018
- [i1]Harald Garcke, Kei Fong Lam, Vanessa Styles:
Cahn-Hilliard inpainting with the double obstacle potential. CoRR abs/1801.05527 (2018)
Coauthor Index
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