scholarly journals A new phase-field approach to variational implicit solvation of charged molecules with the Coulomb-field approximation

2018 ◽  
Vol 16 (5) ◽  
pp. 1203-1223 ◽  
Author(s):  
Yanxiang Zhao ◽  
Yanping Ma ◽  
Hui Sun ◽  
Bo Li ◽  
Qiang Du
Keyword(s):  
Phase Field ◽  
Coulomb Field ◽  
Field Approximation ◽  
Implicit Solvation ◽  
Field Approach ◽  
New Phase

scholarly journals Phase-field approach to implicit solvation of biomolecules with Coulomb-field approximation

2013 ◽  
Vol 139 (2) ◽  
pp. 024111 ◽  
Author(s):  
Yanxiang Zhao ◽  
Yuen-Yick Kwan ◽  
Jianwei Che ◽  
Bo Li ◽  
J. Andrew McCammon
Keyword(s):  
Phase Field ◽  
Coulomb Field ◽  
Field Approximation ◽  
Implicit Solvation ◽  
Field Approach

scholarly journals Approximation of the Mumford–Shah functional by phase fields of bounded variation

2020 ◽  
pp. 1-35
Author(s):  
Sandro Belz ◽  
Kristian Bredies
Keyword(s):  
Image Processing ◽  
Image Segmentation ◽  
Bounded Variation ◽  
Phase Field ◽  
Field Approximation ◽  
Field Variable ◽  
Function Of Bounded Variation ◽  
Total Variation Minimization ◽  
Phase Fields ◽  
New Phase

In this paper, we introduce a new phase field approximation of the Mumford–Shah functional similar to the well-known one from Ambrosio and Tortorelli. However, in our setting the phase field is allowed to be a function of bounded variation, instead of an [Formula: see text]-function. In the context of image segmentation, we also show how this new approximation can be used for numerical computations, which contains a total variation minimization of the phase field variable, as it appears in many problems of image processing. A comparison to the classical Ambrosio–Tortorelli approximation, where the phase field is an [Formula: see text]-function, shows that the new model leads to sharper phase fields.

scholarly journals A self-consistent phase-field approach to implicit solvation of charged molecules with Poisson–Boltzmann electrostatics

2015 ◽  
Vol 143 (24) ◽  
pp. 243110 ◽  
Author(s):  
Hui Sun ◽  
Jiayi Wen ◽  
Yanxiang Zhao ◽  
Bo Li ◽  
J. Andrew McCammon
Keyword(s):  
Phase Field ◽  
Implicit Solvation ◽  
Field Approach ◽  
Self Consistent ◽  
Poisson Boltzmann

scholarly journals On a phase-field approach to model fracture of small intestine walls

2021 ◽  
Author(s):  
Sindhu Nagaraja ◽  
Kay Leichsenring ◽  
Marreddy Ambati ◽  
Laura De Lorenzis ◽  
Markus Böl
Keyword(s):  
Small Intestine ◽  
Phase Field ◽  
Field Approach

Computational modelling of copolymers using a phase field approach

2020 ◽  
Author(s):  
D. Kay ◽  
V. Styles ◽  
A. Münch ◽  
Q. Parsons
Keyword(s):  
Phase Field ◽  
Computational Modelling ◽  
Field Approach
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