Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Vanessa, Styles"'
Publikováno v:
Journal of Imaging, Vol 8, Iss 7, p 199 (2022)
Cell migration is essential for physiological, pathological and biomedical processes such as, in embryogenesis, wound healing, immune response, cancer metastasis, tumour invasion and inflammation. In light of this, quantifying mechanical properties d
Externí odkaz:
https://doaj.org/article/d587532a78b148b289240bbccdbb6440
Autor:
James Van Yperen, Vanessa Styles
We consider a semidiscrete finite element approximation for a system consisting of the evolution of a planar curve evolving by forced curve shortening flow inside a given bounded domain (Formula presented.), such that the curve meets the boundary (Fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::346b22cfaf385d756429373530385d6c
In this work we will present a practical computational scheme for a phase field approximation of the Ohta–Kawasaki type for multiple block copolymers. The phase field model presented will be shown to be computationally.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::00cf758cebb9ab28b60d5f6934a07913
https://ora.ox.ac.uk/objects/uuid:97c70265-d700-438e-9531-d1c56129e9dd
https://ora.ox.ac.uk/objects/uuid:97c70265-d700-438e-9531-d1c56129e9dd
Autor:
Vanessa Styles, James Van Yperen
Publikováno v:
Lecture Notes in Computational Science and Engineering ISBN: 9783030558734
ENUMATH
ENUMATH
We consider a finite element approximation for a system consisting of the evolution of a curve evolving by forced curve shortening flow coupled to a reaction-diffusion equation on the evolving curve. The curve evolves inside a given domain \(\Omega \
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b843a70466a4d2537b59953ba9e900a4
https://doi.org/10.1007/978-3-030-55874-1_121
https://doi.org/10.1007/978-3-030-55874-1_121
We consider a diffuse interface approach for solving an elliptic PDE on a given closed hypersurface. The method is based on a (bulk) finite element scheme employing numerical quadrature for the phase field function and hence is very easy to implement
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fc1eafc3933977d2c619b7126ce363c
Publikováno v:
Oberwolfach Reports. 14:267-338
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7494ac9e7c037dae0873a124b5383195
https://doi.org/10.4171/owr/2017/6
https://doi.org/10.4171/owr/2017/6
Publikováno v:
SIAM Journal on Imaging Sciences. 11:2064-2089
The inpainting of damaged images has a wide range of applications, and many different mathematical methods have been proposed to solve this problem. Inpainting with the help of Cahn--Hilliard models has been particularly successful, and it turns out
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8313d5f1395d10384ac007748774a41
https://doi.org/10.1137/18m1165633
https://doi.org/10.1137/18m1165633
We consider the well-posedness and numerical approximation of a Hamilton--Jacobi equation on an evolving hypersurface in $\mathbb R^3$. Definitions of viscosity sub- and supersolutions are extended in a natural way to evolving hypersurfaces and provi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd8e14ff2c7e12b5beb82539269ff1d4
http://wrap.warwick.ac.uk/111856/2/WRAP-Hamilton-Jocobi-equations-evolving-Elliott-2018.pdf
http://wrap.warwick.ac.uk/111856/2/WRAP-Hamilton-Jocobi-equations-evolving-Elliott-2018.pdf
© European Mathematical Society 2019 Using formal asymptotic methods we derive a free boundary problem representing one of the simplest mathematical descriptions of the growth and death of a tumour or other biological tissue. The mathematical model
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75ebf8a7cc03bf69704683f7b5424c85
Autor:
David Kay, Vanessa Styles
Publikováno v:
Journal of Computational Physics. 424:109715
We propose an efficient solver for saddle point problems arising from finite element approximations of nonlocal multi-phase Allen–Cahn variational inequalities. The solver is seen to behave mesh independently and to have only a very mild dependence
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f088d46786a069495fc734966d8d6c07
https://doi.org/10.1016/j.jcp.2020.109715
https://doi.org/10.1016/j.jcp.2020.109715